From banach-owner Tue Jan 14 11:03:33 1992 Received: by hardy.math.okstate.edu id <45735>; Tue, 14 Jan 1992 10:35:54 -0600 From: Alspach Dale <alspach> To: banach Subject: Abstract of a paper by D. Leung Message-Id: <92Jan14.103554cst.45735 at hardy.math.okstate.edu> Date: Tue, 14 Jan 1992 10:35:44 -0600 Status: RO
This is the abstract of the paper "Isomorphisms of certain weak L^p spaces " by D. Leung. The paper is typed in LaTeX. The paper may be downloaded from the bulletin board by ftp or transmitting the command send leungisoweaklp.ltx to: banach-files at hardy.math.okstate.edu. Abstract: It is shown that the weak $L^p$ spaces $\ell^{p,\infty}, L^{p,\infty}[0,1]$, and $L^{p,\infty}[0,\infty)$ are isomorphic as Banach spaces.
From banach-owner Wed Jan 22 09:10:52 1992 Received: by hardy.math.okstate.edu id <46536>; Wed, 22 Jan 1992 08:53:04 -0600 From: Alspach Dale <alspach> To: banach Subject: Announcement of a mini-conference Message-Id: <92Jan22.085304cst.46536 at hardy.math.okstate.edu> Date: Wed, 22 Jan 1992 08:52:59 -0600 Status: RO
>From uga.cc.uga.edu!UMCVMB.BITNET!MATHUMC Tue Jan 21 14:47:51 1992 Received: from uga.cc.uga.edu ([128.192.1.5]) by hardy.math.okstate.edu with SMTP id <45530>; Tue, 21 Jan 1992 14:47:39 -0600 Received: from UGA.CC.UGA.EDU by uga.cc.uga.edu (IBM VM SMTP R1.2.2MX) with BSMTP id 7927; Tue, 21 Jan 92 15:47:02 EST Received: by UGA (Mailer R2.07) id 0011; Tue, 21 Jan 92 15:43:45 EST Date: Tue, 21 Jan 1992 14:42:07 -0600 From: "Elias Saab" <MATHUMC%UMCVMB.BITNET at uga.cc.uga.edu> To: Alspach_Dale <alspach at hilbert.math.okstate.edu> Message-Id: <92Jan21.144739cst.45530 at hardy.math.okstate.edu> Status: R PRELIMINARY ANNOUNCEMENT MINI-CONFERENCE Recent advances in infinite-dimensional Banach spaces University of Missouri-Columbia, April 3-5, 1992 Principal speakers W.T. Gowers (Cambridge) W.B. Johnson (Texas A&M) B. Maurey (Paris) E. Odell (Texas) T. Schlumprecht (Louisiana State) The theme of this conference will be the recent solutions of the unconditional basic sequence problem, the hyperplane problem and the distortion problem and their implications for Banach space theory. All interested in attending are invited to contact the organizers for further details. There will be limited time for some contributed talks. Please indicate if you would like to contribute a 20-minute talk. Contact: N. Kalton MATHNJK at UMCVMB.BITNET E. Saab elias at esaab.cs.missouri.edu If you would like to contribute a 20-minute talk.
From banach-owner Fri Jan 24 14:02:35 1992 Received: by hardy.math.okstate.edu id <47326>; Fri, 24 Jan 1992 13:30:46 -0600 From: Alspach Dale <alspach> To: banach Subject: Coference in Mons Message-Id: <92Jan24.133046cst.47326 at hardy.math.okstate.edu> Date: Fri, 24 Jan 1992 13:30:36 -0600 Status: R
>From CUNYVM.CUNY.EDU!vm1.umh.ac.be!SFINET Fri Jan 24 11:58:52 1992 Received: from CUNYVM.CUNY.EDU ([128.228.1.2]) by hardy.math.okstate.edu with SMTP id <47326>; Fri, 24 Jan 1992 11:58:41 -0600 Received: from vm1.umh.ac.be by CUNYVM.CUNY.EDU (IBM VM SMTP V2R2) with BSMTP id 1623; Fri, 24 Jan 92 12:57:40 EST Received: from vm1.umh.ac.be (SFINET) by vm1.umh.ac.be (Mailer R2.08) with BSMTP id 9433; Fri, 24 Jan 92 18:00:04 GMT Date: Fri, 24 Jan 1992 11:37:49 -0600 From: SFINET at vm1.umh.ac.be Subject: Re: Announcement of a mini-conference To: Alspach Dale <alspach at hardy.math.okstate.edu> In-Reply-To: Your message of Wed, 22 Jan 1992 08:52:59 -0600 Message-Id: <92Jan24.115841cst.47326 at hardy.math.okstate.edu> Status: R
FIRST ANNOUNCEMENT INTERNATIONAL CONFERENCE ON FUNCTIONAL ANALYSIS. University of MONS_HAINAUT (BELGIUM),AUGUST 24-28,1992. The universities of PARIS 6 and MONS_HAINAUT propose to organize an international conference to mark the 100-th anniversary of the birth of S.BANACH. All interested in attending are invited to contact FINET C. SFINET at vm1.umh.ac.be
From banach-owner Mon Jan 27 09:14:50 1992 Received: by hardy.math.okstate.edu id <45639>; Mon, 27 Jan 1992 08:50:42 -0600 From: Alspach Dale <alspach> To: banach Subject: More on mini-conference at Missouri Message-Id: <92Jan27.085042cst.45639 at hardy.math.okstate.edu> Date: Mon, 27 Jan 1992 08:50:37 -0600 Status: R
>From uga.cc.uga.edu!UMCVMB.BITNET!MATHUMC Sun Jan 26 13:50:19 1992 Received: from uga.cc.uga.edu ([128.192.1.5]) by hardy.math.okstate.edu with SMTP id <47367>; Sun, 26 Jan 1992 13:49:58 -0600 Received: from UGA.CC.UGA.EDU by uga.cc.uga.edu (IBM VM SMTP R1.2.2MX) with BSMTP id 0628; Sun, 26 Jan 92 14:49:25 EST Received: by UGA (Mailer R2.07) id 6076; Sun, 26 Jan 92 14:49:24 EST Date: Sun, 26 Jan 1992 13:30:57 -0600 From: "Elias Saab" <MATHUMC%UMCVMB.BITNET at uga.cc.uga.edu> To: Alspach_Dale <alspach at hilbert.math.okstate.edu> Message-Id: <92Jan26.134958cst.47367 at hardy.math.okstate.edu> Status: R MINI-CONFERENCE (MORE DETAILS) Recent advances in infinite-dimensional Banach spaces University of Missouri-Columbia, April 3-5, 1992 (Starts 1:30 p.m. on April 3. Ends 2:00 p.m on April 5) Principal speakers W.T. Gowers (London) W.B. Johnson (Texas A&M) B. Maurey (Paris) E. Odell (Texas) T. Schlumprecht (Louisiana State) N. Tomczak-Jaegermann (Alberta) (tentative) The theme of this conference will be the recent solutions of the unconditional basic sequence problem, the hyperplane problem and the distortion problem and their implications for Banach space theory. All interested in attending are invited to contact the organizers for further details. There may be limited time for some contributed talks. Please indicate if you would like to contribute a 20-minute talk. Contact: N. Kalton MATHNJK at UMCVMB.BITNET E. Saab elias at esaab.cs.missouri.edu We are in the process of applying to NSF for funding. It is therefore possible that we may have some limited funds to support some participants. However since the funding picture is not at all clear we urge all participants who can obtain support from other sources to do so. Columbia, MO is located half way between Kansas City and St. Louis. It is about 120 miles from each city. To get to Columbia: 1) By Car: I-70 from East and West and US 63 from North and South. 2) By Air: a) You can fly to Columbia Regional Airport. We can meet you at the airport if you can tell us your arrival time. There is also an airport limousine to Columbia (approx. cost $15) b) You can fly to either St. Louis International Airport or Kansas City International Airport. From either city you can take the TIGER EXPRESS VAN to Columbia (cost $40 each way). For reservations with TIGER EXPRESS call 1-800-333-3026. Accommodations: 1) Campus Inn (Walking Distance) 1112 Stadium Blvd 1-314-449-2731 Rate for the Conference $32+tax per night for up to 4 persons. You should specify that you are with the Math. Conference. 2) Holiday Inn Executive Center (4 miles) 2200 I-70 Drive SW 1-314-445-8531 Rate for the Conference $56+tax one bed, $66 + tax two beds. You should specify that you are with the Math. Conference. 3) McReynolds Dorm (On Campus) Baths available on each floor. 1-314-882-7211 (Ask for Rita) Rate $14 per night for single room and $19 per night for a double room (2 persons). You should specify that you are with the Math. Conference.
From banach-owner Fri Feb 21 10:46:00 1992 Received: by hardy.math.okstate.edu id <45942>; Fri, 21 Feb 1992 10:17:05 -0600 From: Alspach Dale <alspach> To: banach Subject: Abstract of a paper by D. Fremlin and J. Mendoza Message-Id: <92Feb21.101705cst.45942 at hardy.math.okstate.edu> Date: Fri, 21 Feb 1992 10:16:55 -0600 Status: RO
This is the abstract of the paper "On the integration of vector-valued functions" by D. H. Fremlin and J. Mendoza. The paper is typed in AMSTeX. The paper may be downloaded from the bulletin board by ftp or transmitting the commands send fremlinmendoza1.atx and send fremlinmendoza2.atx to: banach-files at hardy.math.okstate.edu in separate messages. Concatenate the files before processing with AMSTeX. We discuss relationships between the McShane, Pettis, Talagrand and Bochner integrals. A large number of different methods of integration of Banach-space-valued functions have been introduced, based on the various possible constructions of the Lebesgue integral. They commonly run fairly closely together when the range space is separable (or has w^*-separable dual) and diverge more or less sharply for general range spaces. The McShane integral as described by [Go] is derived from the `gauge-limit' integral of [McS]. Here we give both positive and negative results concerning it and the other three integrals listed above.
From banach-owner Fri Feb 21 14:12:52 1992 Received: by hardy.math.okstate.edu id <45943>; Fri, 21 Feb 1992 13:53:50 -0600 From: Alspach Dale <alspach> To: banach Subject: ftp Message-Id: <92Feb21.135350cst.45943 at hardy.math.okstate.edu> Date: Fri, 21 Feb 1992 13:53:49 -0600 Status: RO
Dear Subscribers, There has been a change in machine here for anonymous ftp. Use ftp.math.okstate.edu This is an alias so this should be more or less permanent. Dale
From banach-owner Fri Feb 28 10:40:49 1992 Received: by hardy.math.okstate.edu via suspension id <45755>; Fri, 28 Feb 1992 10:15:21 -0600 Received: by hardy.math.okstate.edu id <45726>; Fri, 28 Feb 1992 09:51:41 -0600 From: Alspach Dale <alspach> To: banach Subject: Abstract of a paper by S. Geiss Message-Id: <92Feb28.095141cst.45726 at hardy.math.okstate.edu> Date: Fri, 28 Feb 1992 09:51:29 -0600 Status: RO
This is the abstract of the paper "Lower estimates of random unconditional constants of Walsh-Paley martingales with values in banach spaces" by Stefan Geiss. The paper is typed in LaTeX. The paper may be downloaded from the bulletin board by ftp or transmitting the command send geissrumd.ltx to: banach-files at hardy.math.okstate.edu. (Reminder: ftp ftp.math.okstate.edu) Abstract. For a Banach space X we define RUMD_n(X) to be the infimum of all c>0 such that (AVE_{\epsilon_k =\pm 1} || \sum_1^n epsilon_k (M_k - M_{k-1} )||_{L_2^X}^2 )^{1/2} <= c || M_n ||_{L_2^X} holds for all Walsh-Paley martingales {M_k}_0^n subset L_2^X with M_0 =0. We relate the asymptotic behaviour of the sequence {RUMD(X)}_{n=1}^{infinity} to geometrical properties of the Banach space X such as K-convexity and superreflexivity.
From banach-owner Fri Feb 28 16:26:10 1992 Received: by hardy.math.okstate.edu id <45749>; Fri, 28 Feb 1992 16:16:16 -0600 From: Alspach Dale <alspach> To: banach Subject: abstract of a paper by D. Alspach and S. Argyros Message-Id: <92Feb28.161616cst.45749 at hardy.math.okstate.edu> Date: Fri, 28 Feb 1992 16:16:15 -0600 Status: RO
This is the abstract of the paper "Complexity of Weakly Null Sequences " by Dale E. Alspach and Spiros Argyros. The paper is typed in AMSTeX. The paper may be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or transmitting the command send alspachargyroscwns1.atx send alspachargyroscwns2.atx send alspachargyroscwns3.atx in three separate email messages to: banach-files at hardy.math.okstate.edu. Abstract: We introduce an ordinal index which measures the complexity of a weakly null sequence, and show that a construction due to J. Schreier can be iterated to produce for each alpha < omega_1, a weakly null sequence (x^alpha_n)_n in C(omega^{omega^alpha}) with complexity alpha. As in the Schreier example each of these is a sequence of indicator functions which is a suppression-1 unconditional basic sequence. These sequences are used to construct Tsirelson-like spaces of large index. We also show that this new ordinal index is related to the Lavrentiev index of a Baire-1 function and use the index to sharpen some results of Alspach and Odell on averaging weakly null sequences. Remark: This paper is actually about three years old but has recently been converted to AMSTeX from a WYSIWYG file.
From banach-owner Thu Mar 5 10:08:40 1992 Received: by hardy.math.okstate.edu id <45889>; Thu, 5 Mar 1992 09:55:28 -0600 From: Alspach Dale <alspach> To: banach Subject: Alexander Koldobsky Message-Id: <92Mar5.095528cst.45889 at hardy.math.okstate.edu> Date: Thu, 5 Mar 1992 09:55:13 -0600 Status: RO
Alexander Koldobsky, a talented Russian mathematician, has recently been granted refugee status in the US and is in desperate need of a job (any sort of academic job whatsoever would help -- even one semester of part time teaching). At one time I thought that we would have a visting position for him here at BGSU, but that has since fallen through an administrative crack. By way of a little background, Koldobsky has an impressive list of publications (primarily in Banach space theory), and speaks nearly flawless English (he even seemed comfortable with my version of English!). He is currently living in near poverty in New York City awaiting any news of employment. If you can help (even with a few helpful hints), or if I can supply any additional information, please contact me as soon as possible: Neal Carothers Dept. of Mathematics Bowling Green State University Bowling Green, OH 43403 (419) 372-8317 (office) (419) 353-0590 (home) carother at andy.bgsu.edu (internet) Or you can contact Koldobsky directly: Alexander Koldobsky 165 Bennett Ave., Apt. 1 H New York, New York 10040 (212) 942-4703 ----- End Included Message -----
From banach-owner Fri Mar 6 09:07:10 1992 Received: by hardy.math.okstate.edu id <45911>; Fri, 6 Mar 1992 08:48:26 -0600 From: Alspach Dale <alspach> To: banach Subject: Visiting Position in Spain Message-Id: <92Mar6.084826cst.45911 at hardy.math.okstate.edu> Date: Fri, 6 Mar 1992 08:48:21 -0600 Status: RO
----- Begin Included Message ----- Visiting Professor Position at the Universidad Complutense de Madrid (Madrid, Spain) The Universidad Complutense de Madrid offers for the next year a few Visiting Positions, and the Departments of the University may apply for these positions proposing a "prestigious scientist" as candidate. For this reason I would like to find a candidate working in Banach Space Theory in order to present him/her to my Department and, if I get its approval, to the University. The procedure might seem very long and complicated, but I would say that in last years it was not "very" difficult to get one of these positions. I also would like to emphasize that my Department takes no responsibility in this announcement. If someone is in touch with me showing his/her interest in the position, I would begin to talk with my colleagues to consider his/her proposal. I think that the main features of the position are the following: - It is mainly (and almost surely, only) to do research. - No knwledge of Spanish is required. - The stay would be of at least 6 months and at most 12 months, starting during 1993. - The salary would be of about 2,500-3,000 U.S. Dollars per month + health insurance + some amount to cover travel expenses. Interested people should contact with me before the end of April. Jose Mendoza Departamento de Analisis Matematico Facultad de Ciencias Matematicas Universidad Complutense de Madrid Madrid 28040 (Spain) e-mail address: MENDOZA at EMDUCM11 ----- End Included Message -----
From banach-owner Thu Mar 19 14:37:06 1992 Received: by hardy.math.okstate.edu id <46189>; Thu, 19 Mar 1992 14:22:02 -0600 From: Alspach Dale <alspach> To: banach Subject: Participant list and program for conference at Missouri Message-Id: <92Mar19.142202cst.46189 at hardy.math.okstate.edu> Date: Thu, 19 Mar 1992 14:21:54 -0600 Status: RO
========================================================================== Mini-Conference Recent Advances In Infinite-Dimensional Banach Spaces University of Missouri-Columbia April 3-5, 1992 Supported by the National Science Foundation, the College of Arts & Science and the Graduate School. I - List of Potential Participants II - Program III- Accommodations ====================================================================== I-List of Potential Participants ====================================================================== Paul Abraham Kent State University John Alexopoulos Kent State University Dale Alspach Oklahoma State University Robdera Ambriambola University of Missouri-Columbia Diomedes Barcenas Kent State University Jesus Bastero University of Zaragoza Elizabeth Bator North Texas State University David Bletcher University of Missouri-Columbia Donald Burkholder University of Illinois Robert Carmignani University of Missouri-Columbia Peter Casazza University of Missouri-Columbia Jeffery Connor Ohio University Richard Crownover University of Missouri-Columbia Stephen Dilworth University of South Carolina Alan Egolf University of Missouri-Columbia Jeff Farmer Texas A&M University Helga Fetter C. De Investigacion En Matematicas Greg Force Oklahoma State University Berta Gamboa C. De Investigacion En Matematicas Fritz Gesztesy University of Missouri-Columbia Nassif Ghoussoub University of British Columbia W. T. Gowers University College London Colin Graham Lakhead University James Hagler University of Denver Petr Hajek University of Alberta Bill Hammack University of Illinois Joe Jenkins National Science Foundation William B. Johnson Texas A&M University Nigel Kalton University of Missouri-Columbia Brian Kelly University of Missouri-Columbia Alexander Koldobsky Leningrade State University Tadek Kuczumow University of Southern California Elton Lacey Texas A&M University Raja Lachaal University of Missouri-Columbia Jerry Lange University of Missouri-Columbia Paul Lewis North Texas State University Pei K. Lin Memphis State University Peter Lin University of Iowa Piotr Mankiewicz Polish Academy of Science Ashbaugh Mark University of Missouri-Columbia Vania Mascioni University of Texas-Austin Bernard Maurey University of Paris Robert Megginson Eastern Illinois University Gregory Michalopoulos University of Illinois Carmen Moreno Kent State University Asmar Nakhle University of Missouri-Columbia Stelios Negrepontis University of Athens Nguyen To Nhu Inst. of Math, Vien Toan Hoc Ray Nowell University of Missouri-Columbia Edward T. Odell University of Texas-Austin Tenny Peck University of Illinois Annella Rammer University of Missouri-Columbia Narcisse Randrianantoanina University of Missouri-Columbia Beata Randrianantoanina University of Missouri-Columbia David Retzloff University of Missouri-Columbia Elias Saab University of Missouri-Columbia Paulette Saab University of Missouri-Columbia Thomas Schlumprecht Louisiana State University Jan Segert University of Missouri-Columbia Dennis Sentilles University of Missouri-Columbia Tam Sik-Chung University of Missouri-Columbia Nicole Tomczak-Jaegermann University of Alberta Jon Vanderwerff University of Alberta Phyllis Watson University of Missouri-Columbia Selim Watson University of Missouri-Columbia Michael Wodzak University of Missouri-Columbia Wenyao Zhang University of Iowa Beate Zimmer University of Illinois Vazlav Zizler University of Alberta ======================================================================= II-PROGRAM ======================================================================= FRIDAY, April 3, 1992 All Talks are in Allen Auditorium, A&S Building 10:00 a.m. - 12:00 p.m. 203 Math. Sci. Building, Registration 12:00 p.m. - 1:00 p.m. Lunch 1:00 p.m. - 2:00 p.m. Registration, A&S Building 2:15 p.m. - 2:30 p.m. L. Clark, Dean of A&S University of Missouri Welcome Address 2:40 p.m. - 3:40 p.m. W. B. Johnson Texas A&M University Some Historical Background 3:40 p.m. - 4:00 p.m. Coffee Break 4:00 p.m. - 5:00 p.m. W. T. Gowers University College, London A solution to the unconditional basic sequence problem and further results I. SATURDAY, April 4, 1992 All Talks are in Allen Auditorium, A&S Building 9:00 a.m. - 9:30 a.m. Coffee/Doughnuts 9:30 a.m. - 10:30 a.m. B. Maurey University of Paris A solution to the unconditional basic sequence problem and further results II. 10:30 a.m. - 10:50 a.m. Coffee Break/Group Picture 10:55 a.m. - 11:15 a.m. A. Koldobsky Leningrad State University Isometric embedding of Banach spaces into L_p spaces 11:20 a.m. - 11:35 a.m. J. Vanderwerff University of Alberta Markusevich bases and Corson compacta 11:40 a.m. - 12:00 p.m. E. Bator North Texas State University Uniformly countably additive measures and Pelczynski property (V) 12:00 p.m. - 1:30 p.m. Lunch Break 1:30 p.m. - 2:30 p.m. E. Odell University of Texas-Austin On uniform homeomorphisms between unit spheres 2:30 p.m. - 2:45 p.m. Coffee Break 2:45 p.m. - 3:05 p.m. P. K. Lin Memphis State University Schlumprecht space contains $\ell_1$ spreading model 3:10 p.m. - 3:30 p.m. T. Kuczumow University of Southern California James's spaces and the uniform Opial property 3:35 p.m. - 3:55 p.m. N. T. Peck University of Illinois On a problem of Klee 4:00 p.m. - 4:20 p.m. N. Kalton University of Missouri Title to be announced 4:30 p.m. Basket Ball Game Gym 8:00 p.m. Dessert Party at the Kaltons Hosted by Jenny Kalton and Paula Saab 2116 Oakcliff Drive SUNDAY, April 5, 1992 All Talks are in Allen Auditorium, A&S Building 9:00 a.m. - 9:30 a.m. Coffee/Doughnuts 9:30 a.m. - 10:30 a.m. T. Schlumprecht Louisiana State University The distortion problem. 10:30 a.m. - 10:45 a.m. Coffee Break 10:45 a.m. - 11:45 a.m. N. Tomczak-Jaegermann University of Alberta (Title to be announced) 11:50 a.m. - 12:00 p.m. Concluding remarks For more information contact: Nigel Kalton mathnjk at umcvmb E. Saab elias at esaab.cs.missouri.edu University of Missouri-Columbia Department of Mathematics Columbia, MO 65211 ==================================================================== III- Accommodations ==================================================================== Columbia, MO is located half way between Kansas City and St. Louis. It is about 120 miles from each city. To get to Columbia: 1) By Car: I-70 from East and West and US 63 from North and South. 2) By Air: a) You can fly to Columbia Regional Airport. We can meet you at the airport if you can tell us your arrival time. There is also an airport limousine to Columbia (approx. cost $15) b) You can fly to either St. Louis International Airport or Kansas City International Airport. From either city you can take the TIGER EXPRESS VAN to Columbia (cost $40 each way). For reservations with TIGER EXPRESS call 1-800-333-3026. Accommodations: 1) Campus Inn (Walking Distance) 1112 Stadium Blvd 1-314-449-2731 Rate for the Conference $32+tax per night for up to 4 persons. You should specify that you are with the Math. Conference. 2) Holiday Inn Executive Center (4 miles) 2200 I-70 Drive SW 1-314-445-8531 Rate for the Conference $56+tax one bed, $66 + tax two beds. You should specify that you are with the Math. Conference. 3) McReynolds Dorm (On Campus) Baths available on each floor. 1-314-882-7211 (Ask for Rita) Rate $14 per night for single room and $19 per night for a double room (2 persons). You should specify that you are with the Math. Conference.
From banach-owner Sun Mar 22 16:36:56 1992 Received: by hardy.math.okstate.edu id <45789>; Sun, 22 Mar 1992 16:30:47 -0600 From: Alspach Dale <alspach> To: banach Subject: M.M. Day Message-Id: <92Mar22.163047cst.45789 at hardy.math.okstate.edu> Date: Sun, 22 Mar 1992 16:30:32 -0600 Status: RO
I have just learned that Mahlon Day died suddenly on Thursday March 19. Dale Alspach
From banach-owner Tue Mar 24 09:21:25 1992 Received: by hardy.math.okstate.edu id <45997>; Tue, 24 Mar 1992 09:06:01 -0600 From: Alspach Dale <alspach> To: banach Subject: A brief biography of Mahlon Day Message-Id: <92Mar24.090601cst.45997 at hardy.math.okstate.edu> Date: Tue, 24 Mar 1992 09:05:46 -0600 Status: RO
Mahlon Day died Wednesday, March 18, 1992, after undergoing prostate surgery earlier in the day. He was born in Rockford, Illinois, on November 24, 1913. For someone nearly eighty years old, he had been vigorous and energetic. He spent most of his childhood and youth in Oregon, and then obtained his Ph.D. at Brown University. He was on the faculty of the University of Illinois from 1940 until his retirement in 1983. He served as the head of the Department of Mathematics from 1958 to 1965. His book "Normed Linear Spaces", first published in 1958 greatly influenced the development of Banach space theory. Besides his research and teaching, he served the mathematics community in many different ways--in the American Mathematical Society, as editor of the Illinois Journal of Mathematics, etc.
From banach-owner Wed Apr 1 09:59:05 1992 Received: by hardy.math.okstate.edu id <45929>; Wed, 1 Apr 1992 09:42:43 -0600 From: Alspach Dale <alspach> To: banach Subject: Abstracts of two papers by J. Taskinen Message-Id: <92Apr1.094243cst.45929 at hardy.math.okstate.edu> Date: Wed, 1 Apr 1992 09:42:40 -0600 Status: R
These are the abstracts of the papers "Representation of bilinear operators on C{0,1]" and "Structure of local Banach spaces of locally convex spaces" by J. Taskinen. The papers are typed in TeX and require mssymb.tex. The papers may be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or transmitting the commands (in separate messages) send taskinenbilinear.tex send taskinenlocal1.tex send taskinenlocal2.tex send taskinenlocal3.tex to: banach-files at hardy.math.okstate.edu. Abstract. We show that a continuous bilinear mapping P: C(I) \times C(I) \to C(I) can be presented in the form P(f,g) = B((Af)(Ag)), where A and B are bounded linear operators on C(I) and multiplication is defined pointwise, if and only if for all t in I the bilinear form (f,g) -> P(f,g)(t) is integral on C(I) times C(I) and depends in a sense continuously on t. To this end we construct a continuous surjection phi : I \to I^2 admitting a regular averaging operator in the sense of Pelczynski. ---------------------------------------------------------------- Abstract. This paper contains a number of factorization results for compact operators in Banach spaces and their applications to locally convex spaces. For example it is shown that a compact operator on a separable script L_p space X, 1<p<infinity, factors through any separable script L_p space Y so that the image of X is dense in Y.
From banach-owner Thu Apr 2 10:30:05 1992 Received: by hardy.math.okstate.edu id <45963>; Thu, 2 Apr 1992 09:50:55 -0600 From: Alspach Dale <alspach> To: banach Subject: First Announcement of a Conference Message-Id: <92Apr2.095055cst.45963 at hardy.math.okstate.edu> Date: Thu, 2 Apr 1992 09:50:41 -0600 Status: R
A conference in Banach space theory is being planned for May 17-22 of 1993 at Western Hills guest ranch. Western Hills is located about 50 miles east of Tulsa in Sequoyah State Park. In addition to what we hope will be an interesting mathematical program there will be opportunities for horseback riding, golf, tennis, swimming, and hiking. To receive further information send your name, electronic and postal addresses to alspach at hilbert.math.okstate.edu. If your information is already in the file addressbook.txt on the Banach space bulletin board you will automatically receive the first mailing. Dale Alspach
From banach-owner Tue Apr 14 16:57:07 1992 Received: by hardy.math.okstate.edu id <47257>; Tue, 14 Apr 1992 16:41:23 -0500 From: Alspach Dale <alspach> To: banach Subject: Abstract of a paper by M. Meyer,S. Reisner, and M. Schmuckenschlager Message-Id: <92Apr14.164123cdt.47257 at hardy.math.okstate.edu> Date: Tue, 14 Apr 1992 16:41:02 -0500 Status: R
This is the abstract of the paper "The volume of the intersection of a convex body with its translates" by M. Meyer, S. Reisner, and M. Schmuckenschlager. The paper is typed in LATeX. The paper may be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or transmitting the command send meyerreisnerschmucken.ltx to: banach-files at hardy.math.okstate.edu. Abstract: It is proved that for a symmetric convex body K in R^n, if for some tau > 0, |K cap (x+tau K)| depends on ||x||_K only, then K is an ellipsoid. As a part of the proof, smoothness properties of convolution bodies ls are studied.
From banach-owner Tue Apr 21 14:44:05 1992 Received: by hardy.math.okstate.edu id <45971>; Tue, 21 Apr 1992 14:29:16 -0500 From: Alspach Dale <alspach> To: banach Subject: Abstract of a paper by E. Odell and T. Schlumprecht Message-Id: <92Apr21.142916cdt.45971 at hardy.math.okstate.edu> Date: Tue, 21 Apr 1992 14:29:09 -0500 Status: R
This is the abstract of the paper "The Distorion Problem" by E. Odell and T. Schlumprecht. The paper is typed in TeX. The paper may be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or transmitting the command send odellschlumprecht1.tex and send odellschlumprecht2.tex in separate messages to: banach-files at hardy.math.okstate.edu. Abstract:We prove that Hilbert space is distortable and, in fact, arbitrarily distortable. This means that for all lambda >1 there exists an equivalent norm |.| on l_2 such that for all infinite dimensional subspaces Y of l_2 there exist x,y in Y with ||x||_2 = ||y||_2 =1 yet |x| >lambda |y|. We also prove that if X is any infinite dimensional Banach space with an unconditional basis then the unit sphere of X and the unit sphere of l_1 are uniformly homeomorphic if and only if X does not contain l_infty^n's uniformly.
From banach-owner Wed Apr 22 14:28:56 1992 Received: by hardy.math.okstate.edu id <45701>; Wed, 22 Apr 1992 14:03:32 -0500 From: Alspach Dale <alspach> To: banach Subject: Announcement of results from H. Rosenthal Message-Id: <92Apr22.140332cdt.45701 at hardy.math.okstate.edu> Date: Wed, 22 Apr 1992 13:59:34 -0500 Status: RO
%% 4/20/92 file initiated in plain.tex by M. Combs %% ABSTRACT: "A characterization of Banach spaces" by H. Rosenthal \magnification=\magstep1\nopagenumbers \font\caps=cmcsc10 \def\demo#1{{\medskip\noindent {\it #1\/}.}} \topinsert\vskip.5in\endinsert \centerline{\bf A characterization of Banach spaces containing $c_0$} \bigskip \centerline{{\sl by\/} {\caps Haskell Rosenthal}} \medskip \centerline{Department of Mathematics} \centerline{The University of Texas at Austin} \centerline{Austin, TX 78712-1082} \vskip.2in \baselineskip=15pt \rightline{\sl April 21, 1992} \medskip \centerline{\bf Abstract} \bigskip A subsequence principle is obtained, characterizing Banach spaces containing $c_0$, in the spirit of the author's 1974 characterization of Banach spaces containing $\ell^1$. \demo{Definition} A sequence $(b_j)$ in a Banach space is called {\it strongly summing\/} (s.s.) if $(b_j)$ is a weak-Cauchy basic sequence so that whenever scalars $(c_j)$ satisfy $\sup_n \|\sum_{j=1}^n c_jb_j\| <\infty$, then $\sum c_j$ converges. A simple permanence property: if $(b_j)$ is an (s.s.) basis for a Banach space $B$ and $(b_j^*)$ are its biorthogonal functionals in $B^*$, then $(\sum_{j=1}^n b_j^*)_{n=1}^ \infty$ is a non-trivial weak-Cauchy sequence in $B^*$; hence $B^*$ fails to be weakly sequentially complete. \proclaim Theorem. Every non-trivial weak-Cauchy sequence in a (real or complex) Banach space either has an {\rm (s.s.)} subsequence, or a convex block basis equivalent to the summing basis. \demo{Remark} The two alternatives of the Theorem are easily seen to be mutually exclusive. \proclaim Corollary 1. A Banach space $B$ contains no isomorph of $c_0$ if and only if every non-trivial weak-Cauchy sequence in $B$ has an {\rm (s.s.)} subsequence. Combining the $c_0$ and $\ell^1$ Theorems, we obtain \proclaim Corollary 2. If $B$ is a non-reflexive Banach space such that $X^*$ is weakly sequentially complete for all linear subspaces $X$ of $B$, then $c_0$ embeds in $X$; in fact, $B$ has property~$(u)$. The proof of the Theorem involves a careful study of differences of bounded semi-continuous functions. The results of this study may be of independent interest. \end
From banach-owner Wed Apr 22 16:15:05 1992 Received: by hardy.math.okstate.edu id <46129>; Wed, 22 Apr 1992 15:42:15 -0500 From: Alspach Dale <alspach> To: banach Subject: Clarification of the announcement by H. Rosenthal Message-Id: <92Apr22.154215cdt.46129 at hardy.math.okstate.edu> Date: Wed, 22 Apr 1992 15:42:13 -0500 Status: R
%The term non-trivial weak-Cauchy sequence needs to be defined. %Insert the following at the end of the definition. (A weak-Cauchy sequence is called {\it non-trivial} if it is {\it non-weakly convergent.})
From banach-owner Fri Apr 24 10:10:16 1992 Received: by hardy.math.okstate.edu id <46294>; Fri, 24 Apr 1992 09:54:16 -0500 From: Alspach Dale <alspach> To: banach Subject: Abstract of a paper by N. J. Nielsen Message-Id: <92Apr24.095416cdt.46294 at hardy.math.okstate.edu> Date: Fri, 24 Apr 1992 09:54:03 -0500 Status: R
This is the absract of the note "A Note on Unconditional Structures in Weak Hilbert Spaces" by N. J. Nielsen. The note is written in Amslatex and requires amssymb.tex. If this is not avaiable to you change the document style to mssymb and run it in Latex. The note may be downloaded by ftp to ftp.math.okstate.edu or transmitting the command send njnweakhilbertnote.ltx to: banach-files at hardy.math.okstate.edu \documentstyle[12pt,amssymb]{article} \begin{document} \title{A note on unconditional structures\\ in weak Hilbert spaces.} \author{N. J. Nielsen} \date{ } \maketitle \vspace{1cm} \begin{abstract} We prove that if a non-atomic separable Banach lattice in a weak Hilbert space, then it is lattice isomorphic to $L_2(0,1)$. \end{abstract} \end{document}
From banach-owner Mon Apr 27 14:27:11 1992 Received: by hardy.math.okstate.edu id <45595>; Mon, 27 Apr 1992 14:16:09 -0500 From: Alspach Dale <alspach> To: banach Subject: Abstract of a paper by D.Alspach:w Message-Id: <92Apr27.141609cdt.45595 at hardy.math.okstate.edu> Date: Mon, 27 Apr 1992 14:16:02 -0500 Status: R
This is the abstract of the paper "A l_1-predual which is not isometric to a quotient of C(alpha)" by D. Alspach. The paper is typed in AMSTeX. The paper may be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or transmitting the command send alspachl1predual.atx to: banach-files at hardy.math.okstate.edu. Abstract: About twenty years ago Johnson and Zippin showed that every separable L_1(mu)-predual was isometric to a quotient of C(Delta ), where Delta is the Cantor set. In this note we will show that the natural analogue of the theorem for l_1-preduals does not hold. We will show that there are many l_1-preduals which are not isometric to a quotient of any C(K)-space with K a countable compact metric space. We also prove some general results about the relationship between l_1-preduals and quotients of C(K)-spaces with K a countable compact metric space. The results in this paper were presented at the Workshop on Banach Space Theory in Merida, Venezuela, January 1992.
From banach-owner Mon May 4 10:22:03 1992 Received: by hardy.math.okstate.edu id <46007>; Mon, 4 May 1992 10:13:18 -0500 From: Alspach Dale <alspach> To: banach Subject: abstract of a paper by G. Willis Message-Id: <92May4.101318cdt.46007 at hardy.math.okstate.edu> Date: Mon, 4 May 1992 10:13:04 -0500 Status: RO
\centreline{\titlefont{The Compact Approximation Property}} This is the abstract of the paper "The Compact Approximation Property does not imply the Approximation Property" by George Willis The paper is typed in plain TeX. The paper may be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or transmitting the command send williscap.tex to: banach-files at hardy.math.okstate.edu. Abstract: It is shown how to construct, given a Banach space which does not have the approximation property, another Banach space which does not have the approximation property but which does have the compact approximation property.
From banach-owner Wed May 6 11:46:53 1992 Received: by hardy.math.okstate.edu id <45512>; Wed, 6 May 1992 11:35:58 -0500 From: Alspach Dale <alspach> To: banach Subject: abstract of paper by T. Gowers and B. Maurey Message-Id: <92May6.113558cdt.45512 at hardy.math.okstate.edu> Date: Wed, 6 May 1992 11:35:52 -0500 Status: RO
This is the abstract of the paper "The unconditional basic sequence problem" by W. T. Gowers and B. Maurey. The paper is typed in plain TeX. The paper may be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or transmitting the commands send gowersmaureyubsp1.tex send gowersmaureyubsp2.tex in separate email messages to: banach-files at hardy.math.okstate.edu. Abstract: We construct a Banach space that does not contain any infinite unconditional basic sequence.
From banach-owner Thu May 7 10:45:07 1992 Received: by hardy.math.okstate.edu id <46562>; Thu, 7 May 1992 10:38:11 -0500 From: Alspach Dale <alspach> To: banach Subject: abstract of a paper by D. Leung Message-Id: <92May7.103811cdt.46562 at hardy.math.okstate.edu> Date: Thu, 7 May 1992 10:38:00 -0500 Status: RO
This is the abstract of the paper " On $c_0$-saturated Banach spaces" by Denny H. Leung. The paper is typed in LATeX. The paper may be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or transmitting the command send leungc0sat.ltx to: banach-files at hardy.math.okstate.edu. (Note there is a zero not an "oh" in the filename.) Abstract: A Banach space E is c_0-saturated if every closed infinite dimensional subspace of E contains an isomorph of c_0. A c_0-saturated Banach space with an unconditional basis which has a quotient space isomorphic to l^2 is constructed.
From banach-owner Fri May 8 15:33:53 1992 Received: by hardy.math.okstate.edu id <46212>; Fri, 8 May 1992 09:20:11 -0500 From: Alspach Dale <alspach> To: banach Subject: Preliminary announcement of a conference in Greece Message-Id: <92May8.092011cdt.46212 at hardy.math.okstate.edu> Date: Fri, 8 May 1992 09:19:59 -0500 Status: R
PRELIMINARY ANNOUNCEMENT FOR SUMMER SCHOOL AND CONFERENCE ON BANACH SPACES SUMMER SCHOOL ON BANACH SPACES, RELATED AREAS, APPLICATIONS July 6-19, 1992 On the Island of Spetses, Greece (Anargyreios and Korgialeneios School) A EUROPEAN INTERUNIVERSITY COOPERATION PROGRAM SUPPORTED BY ERASMUS AND TEMPUS ORGANIZED BY ATHENS UNIVERSITY Fifteen intensive mini-courses (each of a total of six teaching hours in the course of a week) will be offered at a graduate level, leading to research questions. The teachers will be Professors from the participating Institutions (listed below). Included among them are: Professors S.Argyros, R.Deville, G. Godefroy, A. Kechris, P. Kenderov, A. Louveau, J. Orihuela, G. Pisier, S. Troyanski, M. Valdivia, and others. Graduate and qualified advanced underguraduate students (not only from the participating institutions) are invited to apply for registration. Cost per student is equal to five hundred U.S.dollars; the cost includes registration, tuition, lodging and half-board. Students from participating institutions can have their study (and travel) subsidised by the ERASMUS and TEMPUS programs supporting the present Summer School. PARTICIPATING INSTITUTIONS (and in parenthesis persons responsible at each Institution) Athens University (Prof.S. Negrepontis) Bulgarian Academy of Sciences, Institute of Mathematics (Sofia) (Prof. P. Kenderov) Charles University (Prague) (Prof. J. Lukes) Universidad Complutense (Madrid) (Prof. F. Bombal) University of Crete (Heracleion) (Prof. S.Argyros) Universite Pierre et Marie Curie (Paris VI) (Prof. S.Guerre-Delabriere and G. Godefroy) Czechoslavak Academy of Sciences, Institute of Mathematics (Prague) (Prof. J. Pelant) Universite de Franche-Comte (Besancon) (Prof. R. Deville) Hungarian Academy of Sciences, Institute of Mathematics, (Budapest) (Prof. I. Juhasz) Universidad de Murcia (Prof. J. Orihuela) Universite de Paris VII (Prof. B. Maurey) University of Patras (Prof. S. Iliadis) Technical University of Prague (Prof. M. Fabian and J. Tiser) Universita degli studi di Roma 'La Sapienza' (Prof. A. Figa-Talamanca) Sofia University (Prof. S. Troyanski) Universita degli studi di Trieste (Prof. G. Tironi) Universidad de Valencia (Profe. M. Valdivia) Universidad de Zaragoza (Prof. J. Bastero) Enquiries and applications can be addressed to the person responsible at each institution, or directly to Professor S. Negrepontis, Coordinator of the programs ICP-91-G-1031/11 ERASMUS and JEP 1980-91/1 (TEMPUS), to the following address: Mailing address: S. Negrepontis, Department of Mathematics, Athens University, Panepistemiopolis, Athens 15784, Greece. Phones: 30-1-72.43.241, 30-1-72.43.502 FAX: 30-1-72.43.241, 30-1-72.43.502 e-mail address: sn at grathunl. bitnet CONFERENCE ON BANACH SPACES, RELATED AREAS, APPLICATIONS July 11-12 and 18-19, 1992 On the Island of Spetses, Greece (Anargyreios and Korgialeneios School) A conference is organized in parallel to the Summer School, described above. This is a call for papers to be presented during the weekends July 11-12 and July 18-19. Participants are welcomed to stay during the first and/or second week of the Summer School. Accomodation (lodging and half-board) is offered at 40 U.S. dollars per day. Those wishing to participate should contact Professor S. Negrepontis in above adresses (till June 25, 1992). The Summer School and the Conference on Banach Spaces, Related Areas, Applications is dedicated to the hundred years anniversary of the birth of the founder of the theory Stefan Banach (1892-1945).
From banach-owner Mon May 11 11:29:15 1992 Received: by hardy.math.okstate.edu id <46129>; Mon, 11 May 1992 11:07:23 -0500 From: Alspach Dale <alspach> To: banach Subject: email address changes at U. of Missouri Message-Id: <92May11.110723cdt.46129 at hardy.math.okstate.edu> Date: Mon, 11 May 1992 11:07:16 -0500 Status: R
=================================================================== == Change of a host name at the University of Missouri in Columbia = =================================================================== Starting June 6th, 1992 all the e-mail addresses that were say me at umcvmb.bitnet will be changed to me at mizzou1.bitnet and me at umcvmb.missouri.edu will be changed me at mizzou1.missouri.edu To summarize the string umcvmb has to be changed to mizzou1 starting June 6th 1992.
From banach-request at hardy.math.okstate.edu Mon Jun 01 09:56:13 1992 Received: from hardy.math.okstate.edu by hardy.math.okstate.edu id aa03604; 1 Jun 92 9:56 CDT To: banach at hardy.math.okstate.edu Subject: Abstract of a paper by N.J. Kalton and S.J. Montgomery-Smith Date: Mon, 1 Jun 92 9:58:26 CDT From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Status: R
This is the abstract of the paper "Set-functions and factorization" by N.J. Kalton and S.J. Montgomery-Smith. The paper is typed in TeX. The paper may be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or transmitting the command send kaltonmontsmithsetfun.tex to: banach-files at hardy.math.okstate.edu. Abstract: If $\phi$ is a submeasure satisfying an appropriate lower estimate we give a quantitative result on the total mass of a measure $\mu$ satisfying $0\le\mu\le\phi.$ We give a dual result for supermeasures and then use these results to investigate convexity on non-locally convex quasi-Banach lattices. We then show how to use these results to extend some factorization theorems due to Pisier to the setting of quasi-Banach spaces. We conclude by showing that if $X$ is a quasi-Banach space of cotype two then any operator $T:C(\Omega)\to X$ is 2-absolutely summing and factors through a Hilbert space and discussing general factorization theorems for cotype two spaces.
From banach-request at hardy.math.okstate.edu Mon Jun 01 10:55:36 1992 Received: from hardy.math.okstate.edu by hardy.math.okstate.edu id aa10043; 1 Jun 92 10:55 CDT To: banach at hardy.math.okstate.edu Subject: Abstract of a paper by S.J. Dilworth and S.J. Montgomery-Smith Date: Mon, 1 Jun 92 10:07:07 CDT From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Status: R
This is the abstract of the paper " The distribution of vector-valued Rademacher series" by S.J. Dilworth and S.J. Montgomery-Smith. The paper is typed in AMSTeX. The paper may be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or transmitting the command send dilworthmontsmithvvrad.atx to: banach-files at hardy.math.okstate.edu. Abstract: Let $X=\sum \varepsilon_n x_n$ be a Rademacher series with vector-valued coefficients. We obtain an approximate formula for the distribution of the random variable $||X||$ in terms of its mean and a certain quantity derived from the K-functional of interpolation theory. Several applications of the formula are given.
From banach-request at hardy.math.okstate.edu Thu Jun 04 09:42:19 1992 Received: from hardy.math.okstate.edu by hardy.math.okstate.edu id aa20690; 4 Jun 92 9:42 CDT To: banach at hardy.math.okstate.edu Subject: Miscellaneous Date: Thu, 4 Jun 92 9:42:09 CDT From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Status: R
The Banach space bulletin board was unreachable for a few days due to equipment problems on Midnet. I hope it is really fixed. Because many subscribers do not have AMSLATeX, I have posted both .dvi and postscript versions of Casazza's paper. Because of length they are not accessible by email but can be obtained by ftp. The names are casazzahbsp.dvi and casazzahbsp.ps . If you download these, let me know how well this works. With the proliferation of TeX dialects .dvi and .ps files may be reasonable alternatives. The postscript files tend to be quite large because the fonts are included. Dale Alspach
From banach-request at hardy.math.okstate.edu Fri Jun 05 09:47:56 1992 Received: from hardy.math.okstate.edu by hardy.math.okstate.edu id aa24805; 5 Jun 92 9:47 CDT To: banach at hardy.math.okstate.edu Subject: Announcements of a conference and two publications from G.A. Anastassiou. Date: Fri, 5 Jun 92 9:47:32 CDT From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Status: R
Announcement of a conference Title:An International conference on "Approximation,Probability And related fields" Place:Univ.California-Santa Barbara Dates:20,21,22 May 1993 Days:Thurs.,Friday,Sat. Information-Organizers: George A Anastassiou Dept. Math.Sci. Memphis State University Memphis,TN38152 U.S.A E-mail anastasg at hermes.msci.memst.edu tel.901-6783144,office 901-3719752 ------------------------------------------- S.T.Rachev Dept.Stat./Appl.Probability Univ.California-Santa Barbara CA 93106,U.S.A E-mail ZARIRACH at BERNOULLI.UCSB.EDU tel.805-8934869 office 805-6850938 -------------------------------------------------- MAIN SPEAKERS The list of main speakers includes: G.Anastassiou(M.S.U),P.Butzer(Aachen- Germany),S.Cambanis(U.N.C),P.Erdos(Hungarian Academy of Science) ,J.H.B.Kemperman(Rutgers),G.G.Lorentz(U.Texas),C.Micchelli(I.B.M), G.Strang(M.I.T) ------------------------------------------------------- COME TO CALIFORNIA ,IT WILL BE FAN!!! -------------------------------------------------------------- A new international publication "APPLIED ANALYSIS & STOCHASTICS" a section of "Computational and Applied Math.j." Trial issue June 92,1st issue Jan.93 CALL FOR PAPERS Editors in-Chief George.A.Anastassiou DEPT.MATH.SCI. Memphis State University Memphis,TN 38152 U.S.A Svetlozar. T.Rachev Dept.Stat./Appl.Probability Univ.California-Santa Barbara CA 93106,U.S.A EDITORIAL BOARD P.L.BUTZER(Aachen),E.W.CHENEY(U.Texas),S.CAMBANIS(UNC),INGRID DAUBECHIES(Rutgers Univ./AT&T),R.L.DOBRUSHIN(INST>INFO>TRANS>,Russia), Paul Erdos(Hungarian Academy of Sci.),P.GREENWOOD(univ.British Columbia),J.H.B.KEMPERMAN(Rutgers Univ.),S.Karlin(Stanford Univ.), D.KOLZOW(Erlagen Univ. -Germany),M.MAEJIMA(Keio Univ.-Japan) ,P.R.MASANI(Univ. Pittsburgh),M.K.V.MURTHY(UNIV.PISA-Italy), L.Nachbin(Univ.Rochester),Z.NASHED(Univ.Delaware),R.NESSEL(Aachen- Germany), E.OMEY(Brussels,Belgium), L.Ruschendorf(Munster-Germany),H.SATO(Kyushu Univ.- Japan),O.Shisha(U.R.I),D.Stone(Northeastern Univ.) Editorial policy We publish High quality original papers in E nglish language. Main areas of interest: Approximation Theory,Probability and Measure Theory,and their applications. Especially we are interested in the overlap of Approx.Th. and Probability. Current interests among others include: Approx. of functions by polynomials,splines,operators and their applications to stochastics,multivariate approximation and interpolation,rate of convergence in probability theory,approximations and martingales,deterministic and stochastic inequalities,geometric measure theory,geometric theory of distributions-microlocal analysis,functional integration,WAVELETS, harmonic analysis,fractal aspects of analysis,special function theory, signal analysis,prediction theory. Please send 4 copies of your article to any of the editors in-chief. We have A.M.S. Standards,papers are refereed by 2 referees. WE CALL FOR PAPERS Applied Analysis & Stochastics APPROXIMATION THEORY (Lecture Notes in Pure and Applied Mathematics Series/138) This valuable resource contains the papers presented at the Sixth Southeastern Approximation Theorist Annual Conference, held in April of 1991 at Memphis State University, Tennessee, edited by George Anastassiou, 552 pages. ISBN: 0-8247-8708-0. CONTENTS Moment Problems and Their Applications to Characterization of Stochastic Processes, Queueing Theory, and Rounding Problems. George A. Anastassiou and S.T. Rachev. Bivariate Probabilistic Wavelet Approximation. George Anastassiou and Xiang Ming Yu. Sampling Designs for Estimating Integrals of Stochastic Processes Using Quadratic Mean Derivatives. Karim Benhenni and Stamatis Cambanis. Para-Orthogonal Laurent Polynomials. Catherine M. Bonan-Hamada, William B. Jones, and Arne Magnus. A General Alternation Theorem. Bruno Brosowski and Antonio R. da Silva. Functional Analytic Methods in the Solution of the Fundamental Theorems on Best-Weighted Algebraic Approximation. P.L. Butzer, S. Jansche, and R.L. Stens. A Strategy for Proving Extensions of the 4/3 Conjecture. B.L. Chalmers, K.C. Pan, and B. Shekhtman. When is the Adjoint of a Minimal Projection also Minimal. B.L. Chalmers, K.C. Pan, and B. Shekhtman. On Kernels and Approximation Orders. E.W. Cheney, W.A. Light, and Yuan Xu. Iterative Methods for Nonlinear Operator Equations. A.T. Chronopoulos and Z. Zlatev. On the A.A. Markov Inequality for Polynomials in the L^p Case. Zibigniew Ciesielski. On the Degree of Approximation by Periodic Approximants of Boolean Sum Type. Claudia Cottin. Constrained N-Convex Approximation. Frank Deutsch. Kemp's Conjecture on Existence in Discrete Rational Chebyshev Approximation. C.B. Dunham. On Butzer's Problem Concerning Approximation by Algebraic Polynomials. Heinz H. Gonska and Jia-ding Cao. Conditioning of Birkhoff Interpolation. Gary W. Howell. The p-Limit Selection in Uniform Approximation. Robert Huotari. Asymptotic Properties of J-Fractions and Related Orthogonal Polynomials. William B. Jones, W.J. Thron, and Nancy J. Wyshinski. Szego Polynomials and Frequency Analysis. William B. Jones and E.B. Saff. Simultaneous Approximation of Derivatives. T. Kilgore. Best Approximants in Musielak-Orlicz Spaces. Shelby J. Kilmer. On the Approximation Through Polyharmonic Operators. Ognyan Iv. Kounchev. Inqualities for Some Special Functions. Andrea Laforgia. Best Approximation in Polyhedral Spaces and Linear Programs. Wu Li. Nonexistence of a Riesz Basic of Translates. T.E. Olson and R.A. Zalik. On Interpolation and Best One-Sided Approximation by Splines in L^p. J. Prestin and E. Quak. Sidon-Type Inequalities. Ferenc Schipp. Norm Convergence and Summability of Fourier Series with Respect to Certain Product Systems. F. Schipp and W.R. Wade. Monotone Approximation with First-Order Linear Differential Operators. O. Shisha and C. Yang. Generalized Painleve Formulation and Variational Symmetries of the Lorenz Equation. Bhimsen K. Shivamoggi and Ram N. Mohapatra. Spectral Analysis of Second-Order Difference Equations. Dale T. Smith. Lacunary Interpolation Modified (0,1,4) Case. A.K. Varma, A. Saxena, and R.B. Saxena. Degree Reduction of Bezier Curves by Approximation and Interpolation. Stanly E. Weinstein and Yuesheng Xu. The Solution of Matrix Approximation Problems in C_p Norms. G.A. Watson.
From banach-request at hardy.math.okstate.edu Fri Jun 05 10:48:01 1992 Received: from hardy.math.okstate.edu by hardy.math.okstate.edu id aa29157; 5 Jun 92 10:47 CDT To: banach at hardy.math.okstate.edu Subject: Abstract of a paper by N.J. Kalton P. Wojtaszczyk Date: Fri, 5 Jun 92 10:52:16 CDT From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Status: R
This is the abstract of the paper "On nonatomic Banach lattices and Hardy spaces" by N.J. Kalton and P. Wojtaszczyk . The paper is typed in AMSTeX. The paper may be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or transmitting the command send kaltonwojtaszczykblat.atx to banach-files at hardy.math.okstate.edu Abstract: We are interested in the question when a Banach space $X$ with an unconditional basis is isomorphic (as a Banach space) to an order-continuous nonatomic Banach lattice. We show that this is the case if and only if $X$ is isomorphic as a Banach space with $X(\ell_2)$. This and results of J. Bourgain are used to show that spaces $H_1(\bold T^n)$ are not isomorphic to nonatomic Banach lattices. We also show that tent spaces introduced in \cite{4} are isomorphic to Rad $H_1$.
From banach-request at hardy.math.okstate.edu Tue Jun 09 10:39:31 1992 Received: from hardy.math.okstate.edu by hardy.math.okstate.edu id aa09547; 9 Jun 92 10:39 CDT To: banach at hardy.math.okstate.edu Subject: Re: Accommodations for the Summer school in Greece Date: Tue, 9 Jun 92 10:32:42 CDT From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Status: R
Dear colleaques A Traveling Advisory This is regarding Summer school on Banach spaces,July 6-19,1992 on the island of Spetses,Greece. The following has nothing to do with the scientific value and content of the above conference. It is only to assist conference participants so to enjoy more their stay in the above island. Greece is a beautiful country with friendly people especially in the islands. However Staying and living in the building of the conference (it is an old high school building) one should know the following: There are ONLY big rooms of 13 beds each(therefore you would have to share the room with several other persons).The building has capacity of 100 persons.Also the showers are common and there is not air conditioning,except in the main lecture room.Notice that july is the hottest month in Greece,temperature 37-41 degrees C. Therefore I strongly recommend to make reservations in other hotels of the city of Spetses. This should be done soon because this cosmopolitan island is very popular and therefore is crowded of tourists especially from U.K. For those going,enjoy the conference A concerned Greek(who has been in this island many times) George A Anastassiou Associate Professor of Mathematics Memphis state University
From banach-request at hardy.math.okstate.edu Tue Jun 09 14:07:00 1992 Received: from hardy.math.okstate.edu by hardy.math.okstate.edu id aa26934; 9 Jun 92 14:06 CDT To: banach at hardy.math.okstate.edu Subject: Re:Message from G. Anastassiou Date: Tue, 9 Jun 92 14:07:31 CDT From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Status: R
Dear subscribers, This morning I distributed a message from G. Anastassiou regarding the accommodations for the summer school in Greece. S. Negrepontis and S. Argyros have notified me that the rooms will be singles or doubles not 13's as asserted in that message. They also said that the weather and environment are very nice. Sincerely, Dale Alspach A general comment on the bulletin board: Messages of an informational nature are distributed in the name of the person submitting them and that person is responsible for the accuracy of the information. Persons who knowingly submit inaccurate information or do not correct significant inaccuracies in their messages will not be permitted to post messages. I hope that this is the first and last time that the bulletin board will be abused in this way. Dale Alspach
From banach-request at hardy.math.okstate.edu Wed Jun 10 11:08:13 1992 Received: from hardy.math.okstate.edu by hardy.math.okstate.edu id ab17608; 10 Jun 92 11:08 CDT To: banach at hardy.math.okstate.edu Subject: Further information on the Summer School in Banach Spaces Date: Wed, 10 Jun 92 11:05:40 CDT From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Status: R
On May 8,1992 we sent an announcement, that was distributed by the Banach Bulletin Board, for a Summer School on Banach Spaces, Related Areas, Applications, organised by Athens University and supported by the EEC programs ERASMUS and TEMPUS for graduate and qualified undergraduate students.Such programs have low-budget and they aim to maximize the number of students supported. According to our almost complete program week-long mini-courses will be given by: S. Argyros (Heracleio), R. Deville (Besancon), S. Mercourakis (Athens), G. Pisier (Paris), S. Szarek (Cleveland),and S. Troyanski (Sofia) (during the first week of the Summer School,and A. Figa'-Talamanca (Rome), G. Godefroy (Paris), A. Kechris (CalTech), P. Kenderov (Sofia), A. Louveau (Paris), J. Orihuela (Murcia), and N. Varopoulos (Paris) (during the second week of the Summer School). It is expected that there will be about fifty students attending the School from Bulgaria, Czechoslovakia, France, Greece, Hungary, Italy, and Spain. In addition, an auxiliary informal conference is organised during the weekends, mainly with the participation and for the benefit of the people who already participate in the Summer School, together with whoever may visit the Summer School. There are absolutely no independent funds or other support for the Conference. Yesterday, June 9, 1992, with a message to the Banach Bulletin Board entitled "A traveling advisory" Mr. Anastassiou has given some misleading and outright false information, regarding the accomodation conditions in the aforesaid Summer School.We must emphasize that Mr. Anastassiou is totally unrelated to the organization of the Summer School and that he has never consulted with the organisers before sending his "message". We will now describe the accomodation available for the Summer School.In the Dormitory Building, where participants to the Summer School will stay: (a) There are about forty rooms that, according to needs, will be used as single or double rooms.These rooms do not have private shower or toilet; these are in usual dormitory style in the same floor. (b)There are six suites, equiped with their own showers and toilets, suitable for families or small groups of 3-4 persons. (c)In addition, there are some large rooms with several beds, which will be used if necessary for students. We emphasize that teachers and staff visitors will stay solely in single/ double rooms, or in suites, and the same is true for most if not all students. There is no air-conditioning in the School. However the School is on the sea, surrounded by a wide garden. We consider that the facility is almost ideally suited for the organization of the Summer School. In fact during the summer this location is used intensively for some years now for the organization of international conferences, summer schools,etc. For the Organizing Committee of the Summer School on Banach Spaces, Related Areas, Applications Professor S. Negrepontis, Athens University Professor S. Argyros, University of Crete
From banach-request at hardy.math.okstate.edu Thu Jun 11 10:19:42 1992 Received: from hardy.math.okstate.edu by hardy.math.okstate.edu id aa15703; 11 Jun 92 10:19 CDT To: banach at hardy.math.okstate.edu Subject: Change of Email address for S. Argyros Date: Thu, 11 Jun 92 10:22:58 CDT From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Status: R
The email address for Spiros Argyros is now argiros at talos.cc.uch.gr The address argiros at grcrvax1.bitnet no longer works. Dale Alspach
From banach-request at hardy.math.okstate.edu Thu Jun 11 14:49:13 1992 Received: from hardy.math.okstate.edu by hardy.math.okstate.edu id aa13638; 11 Jun 92 14:49 CDT To: banach at hardy.math.okstate.edu Subject: New email address for Elton Lacey Date: Thu, 11 Jun 92 14:53:48 CDT From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Status: R
Elton Lacey's e-mail address is now Elton.Lacey at math.tamu.edu
From banach-request at hardy.math.okstate.edu Fri Jun 12 11:18:40 1992 Received: from hardy.math.okstate.edu by hardy.math.okstate.edu id aa18415; 12 Jun 92 11:18 CDT Received: by hardy.math.okstate.edu id aa17852; 12 Jun 92 11:11 CDT To: banach at hardy.math.okstate.edu Subject: Info on conference in Oklahoma May 17-22,1993 Date: Fri, 12 Jun 92 11:18:42 CDT From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Status: R
Most of you should have received the following letter by (snail) mail. Dear Colleague, In the past twenty years Banach space theory has had a remarkable period of growth and development. As a consequence many of the old questions have been answered and research has moved in unexpected directions. It thus seems timely to have a conference which focuses on the directions for future research in Banach space theory. Carsten Schutt and I are planning such a conference to be held May 17-22 of 1993 at Western Hills Guest Ranch, near Wagoner, Oklahoma. The conference will include research talks of the more traditional nature, but will feature a series of expository lectures. In these expository lectures experts will review the progress in a subarea of Banach space theory and describe their view of the most important open problems in the subarea and the research directions that should be pursued. The following people have agreed to give expository lectures: W.B. Johnson, J. Lindenstrauss, B. Maurey, A. Pelczynski, G. Pisier, H.P. Rosenthal, S. Szarek, and M. Talagrand. In addition there will be some sessions for contributed talks and a published proceedings of the conference. The site of the conference is Western Hills Guest Ranch, a State of Oklahoma resort, located about 50 miles east of Tulsa in Sequoyah State Park. In addition to the meeting rooms and dining area, facilities include a large lake (Lake Fort Gibson), swimming pool, tennis courts, golf course, and trails for hiking or horseback riding. The weather in Oklahoma in May is usually pleasant with warm days, cool nights and occasional rain. Because Western Hills is relatively isolated we are hoping to house everyone at the resort. The week of the conference is the first week of the tourist season for the resort and so IT IS VERY IMPORTANT THAT WE HAVE A FAIRLY ACCURATE COUNT OF THE NUMBER OF ROOMS WELL IN ADVANCE. PLEASE COMPLETE THE ATTACHED FORM AND RETURN IT AS SOON AS POSSIBLE. Most rooms are standard U.S. motel rooms with two double beds and full bath. The rate for room and three meals will be approximately $50 (US) per person per day double occupancy and $77 (US) per person per day single occupancy. (Golf and horseback riding are extra.) If you intend to bring your family or wish to ``rough it'' by staying in the camping areas of the park, please let us know so that we can provide appropriate information. The talks will actually begin Tuesday May 18 in the morning and the conference will end in the early afternoon on May 22. Western Hills has agreed to charge the conference rate for the night of May 22 for those who wish to stay over. Please feel free to share this letter with others. Sincerely, Dale Alspach ------------------------Conference Participation Form---------------- Name: Mailing Address: E-mail address: Indicate below your tentative plans (P is the probability that you will come.): __ I am very likely to come. (P>= .9) __ I am likely to come. (.9>P>=.75) __ I can't decide now, but keep me on the mailing list. (.75>P>=.25) __ It is unlikely that I will come. (P<.25) If you chose either of the first two possibilities, will you want single or double occupancy? ______________ Some universities require that their faculty present a paper or receive a formal invitation in order to receive funds for travel to a conference. If we can assist you in obtaining travel funds, let us know. We have applied for support for some participants, but at this time our funding situation is unclear. Return to alspach at hilbert.math.okstate.edu or by mail to Banach Space Conference Department of Mathematics Oklahoma State University Stillwater, OK 74078-0613
From banach-request at hardy.math.okstate.edu Thu Jun 18 09:17:39 1992 Received: from hardy.math.okstate.edu by hardy.math.okstate.edu id aa01246; 18 Jun 92 9:17 CDT To: banach at hardy.math.okstate.edu Subject: More information on the summer school in Spetses, Greece Date: Thu, 18 Jun 92 9:20:59 CDT From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Status: R
Subject: Information on the SUMMER SCHOOL ON BANACH SPACES, RELATED AREAS, APPLICATIONS In Spetses, Greece, on July 6-19, 1992.
1.COURSES OFFERED (A final list will follow later) First week: July 6-11 1. Spiros ARGYROS (Heracleio): The structure of non-dentable sets in Banach spaces. 2. Robert DEVILLE (Besancon): Variational Principles. 3. Sophocles MERCOURAKIS (Athens): Baire-1 functions in Banach spaces. 4. Gilles PISIER (Paris): Completely bounded maps and similarity problems in Banach spaces and operator algebras. 5. Stanislaw SZAREK (Cleveland): Asymptotic theory of finite dimensional spaces. 6. Stanimir TROYANSKI (Sofia): Series in Banach spaces. Second week: July 13-18 1. Alessandro FIGA' - TALAMANCA (Rome): Theory of spherical functions with applications to harmonic analysis on utrametric compact homogeneous spaces. 2. Gilles GODEFROY (Paris): Haydon's work on trees and renorming theory. 3. Alexander KECHRIS (Cal Tech): Effective method in descriptive set theory. 4. Petar KENDEROV (Sofia): Generic differentiability and well posedness of optimization problems. 5. Alain LOUVEAU (Paris): Coanalytic sets and ranks in descriptive set theory and analysis. 6. Jose ORIHUELA (Murcia): Projectional resolution of identity in Banach spaces. 7. Nicholas VAROPOULOS (Paris): to be announced. 2. SCHEDULE FOR THE SUMMER SCHOOL Breakfast: 07:30-09:00 a.m. Morning Lectures (4-5 hour lectures): 8:30 a.m. - 1:30 p.m. Free Time (e.g. swimming) : 1:30 - 3 p.m. Lunch : 2-4 p.m. Afternoon Lectures (2 hour lectures): 4:30 - 6:30 p.m. Free Time: 6:30 p.m. ----- Note. The schedule seems rather heavy (especially with the possible addition of one morecourse for a total of seven each week). Hopefully it strikes a balance between serious work and some free time for relaxation. 3. BOATS TO SPETSES 1. The best way to go to Spetses is with a Flying Dolphin, that starts from a location in Piraeus called Marina Zeas. These boats are fast and have a limited number of seats. On Saturdays thirteen boats start from Marina Zeas for Spetses, the earliest at 8 a.m. and the last one at 7:30 p.m. On Sundays ten boats from 8:15 a.m. to 8:15 p.m. The trip takes about two to two and a half hours, depending on intermediate stops. Ticket price (one way): 2980 drachmas (about $ 15). For information call: 428.0001, 452.5107. 2. There are also regular boats that go to Spetses, but their schedules are probably not very convenient. They start from Piraeus port (Karaiskaki Square, near the Piraeus Subway Station); the trip takes about five hours. Ticket price (one way): 1550 drachmas (about $ 7.50). These are the details: Eftyhia boat: starts at 8 a.m. every day (information: 412. 6181); Georgios boat: starts at 8:20 a.m. every day (information: 417.9668); Hydra boat: starts at 4 p.m. every Friday-this is probably a good and convenient schedule, and starts at 8:10 a.m. every Saturday and Sunday (information: 482.8001). Argosaronikos Port Authority (for general information): 412.4585. Note. An effort will be made to meet peoplewhen they arrive in Athens from abroad, especially if they come in groups. Please notify us as soon as possible about your travel plans. 4. "DRIVING" TO SPETSES One can drive from Athens to the locations PORTO HELI or KOSTA in Peloponnese. In Kosta there is a 24 hours parking facility, where you can leave your car and sail to Spetses with the small local boats (caiques or sea taxis). Driving time from Athens to Kosta: about four hours. Boat ride: 15 minutes (150 drachmas). No private cars are allowed in the island of Spetses. 5. USEFUL BUSES 1) From Athens Train Station (Larisa Station) to Omonoia Square: Take Trolley-Bus 1 (At Omonoia Square is the Central Station of the Subway System that goes to Piraeus Port). 2) From Omonoia Square to Piraeus Subway Station: Take the Subway Train 3) From Piraeus Subway Station to Marina Zeas: Take Buses 905 or 904. 4) From Western Airport (Flights with Olympic Airways only) to Piraeus: Take: 4a) Buses 109, 113, 114, 124, 125, 149, 205, or 4b) the Express Bus (every hour) 5) From Eastern Airport (all flights, except those with Olympic Airways) to Piraeus : Take: 5a) Bus 101 (every hour) 5b) the Express Bus (every hour). Tickets for Buses 1), 2), 3), 4a), or 5a) cost 75 drachmas, and must be bought BEFORE you enter the Bus (at the nearby kiosks). Tickets for Buses 4b) or 5b) cost 160 drachmas, and are paid to the bus driver directly. 6. TAXIS A taxi from the (Eastern or Western) Airport to a location in Piraues (Marina Zeas or Sea Port) costs about 1200 drachmas. 7. AT SPETSES
From the Spetses sea port to the Anargyreios and Korgialeneios School the distance is about one and half kilometers. The usual trasnportation means is with a horse carriage. Cost about 700 drachmas. Anargyreios and Korgialeneios School: Phone 0298-72.206 Spetses Sea Port Authority: 0298-72.245 Local police: 73.100, Taxis: 72.198, Horse carriages: 73.131 The rooms at Anargyreios and Korgialeneios School will be available on Sunday evening (July 5); some rooms willbe available on Saturday evening (July 4) for early arrivals. 8. EXCURSIONS: EPIDAVROS, MYCENAE, NAUPLIO Some sixty kilometers from Spetses, on the Eastern Peloponnese, lies the magnificent classical theater of Epidavros (Epidaurus, more latinwise) - one of the most beautiful Greek monuments. This is an active theater, with about 14.000 seats. On Sunday July 5, at 9 p.m., there is a performance of Euripides tragic play "Alcestis" by the National Institute of Ancient Drama of Syracuse (Italian group). On Friday July 10 and Saturday July 11, at 9 p.m., there is a performance of Sophocles tragic play "Electra" by the National Theater of Northern Greece. (Music by G. Kouroupos). There are no performances on Epidavros during the 17-19 July weekend. An excursion to Epidavros, via boat and bus, will take place on Saturday July 11. Return on same night after the performance. Cost for excursion including one ticket for performance (good seat) is about 4.800 drachmas (about $24). Other places of interest are the remains and Museum of Mycenae, and the picturesque city of Nauplion. An excursion can be organized for these places on Sunday July 12 if there is sufficient interest. 9. QUESTIONS, ADDITIONAL INFORMATION For ANY questions, additional information, etc. that you may have, please feel free to ask me, preferably by e-mail: sn at grathun1.bitnet Stelios Negrepontis
From banach-request at hardy.math.okstate.edu Fri Jun 19 08:59:30 1992 Received: from hardy.math.okstate.edu by hardy.math.okstate.edu id aa00765; 19 Jun 92 8:59 CDT To: banach at hardy.math.okstate.edu Subject: Death of Pichorides Date: Fri, 19 Jun 92 9:01:31 CDT From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Status: RO
From the Dept. of Mathematics - University of Crete, Greece. Status: RO Professor Stelios Pichorides passed away last night (June 18) at the age of 52, because of a stroke he suffered during a mathematical meeting at Madrit, Spain. He did his undergraduate work at the National Polytechnic Institute, Athens and his Ph.D. at the University of Chicago under A.Zygmund. In 1980 he was awarded the Salem prize mainly for his work on the Littlewood conjecture. He was one of the most distinguished Greek mathematicians of our time. His influence on Greek Mathematics is hard to evaluate at this moment but, to say the least, was great. His passing away is a great loss for the Department of Mathematics of the University of Crete, which he marked in every respect with his presence for a number of years.
From banach-request at hardy.math.okstate.edu Thu Jun 25 09:14:49 1992 Received: from hardy.math.okstate.edu by hardy.math.okstate.edu id aa10864; 25 Jun 92 9:14 CDT To: banach at hardy.math.okstate.edu Subject: Address change for J. Mendoza Date: Thu, 25 Jun 92 9:11:43 CDT From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Status: R
Dear colleagues,
From now on my e-mail address will be MENDOZA at MAT.UCM.ES J. Mendoza
From banach-request at hardy.math.okstate.edu Tue Jun 30 15:41:19 1992 Received: from hardy.math.okstate.edu by hardy.math.okstate.edu id aa29890; 30 Jun 92 15:41 CDT Received: by hardy.math.okstate.edu id aa29258; 30 Jun 92 15:32 CDT To: banach at hardy.math.okstate.edu Subject: Journal of Computational And Applied Mathematics Date: Tue, 30 Jun 92 15:37:41 CDT From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Status: R
----- Begin Included Message ----- From: MATHSCI/HELEN Subject: Journal
Journal of Computational And Applied Mathematics Applied Analysis and Stochastics Guest Editors: G.A. Anastassiou & S.T. Rachev CONTENTS G.A. Anastassiou and S.T. Rachev Editorial B.C. Arnold Logistic and semi-logistic processes [CAM 1212] J. Boos and H. Tietz Convexity theorems for the circle methods of summability [CAM 1215] M. Bramson and C. Neuhauser A catalytic surface reaction model [CAM 1211] A. Gross and J.B. Robertson Ergodic properties of stationary Poisson sequences [CAM 1210] G. Hinsen Explicit irregular sampling formulas [CAM 1213] S. Jansche and R.L. Stens Best weighted polynomial approximation on the real line; a functional-analytic approach [CAM 1233] P.R. Masani The measure-theoretic aspects of entropy, Part I [CAM 1208] M.I. Taksar Skorohod problems with nonsmooth boundary conditions [CAM 1237] ----- End Included Message -----
From banach-request at hardy.math.okstate.edu Wed Jul 01 09:22:42 1992 Received: from hardy.math.okstate.edu by hardy.math.okstate.edu id aa00447; 1 Jul 92 9:22 CDT To: banach at hardy.math.okstate.edu Subject: More on summer school in Greece Date: Wed, 1 Jul 92 9:24:41 CDT From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Status: RO
Subject: Information on the SUMMER SCHOOL ON BANACH SPACES, RELATED AREAS, APPLICATIONS In Spetses, Greece, on July 6-19, 1992.
1.COURSES OFFERED FIRST WEEK: JULY 6-11 1. Spiros ARGYROS (Heracleio): The structure of non-dentable sets in Banach spaces. 2. Sophocles MERCOURAKIS (Athens): Baire-1 functions in Banach spaces. 3. Gilles PISIER (Paris): Completely bounded maps and similarity problems in Banach spaces and operator algebras. 4. Stanislaw SZAREK (Cleveland): Asymptotic theory of finite dimensional spaces. 5. Stanimir TROYANSKI (Sofia): Series in Banach spaces. 6. Charles STEGALL (Linz): to be announced (two lectures) 7. Jaroslav TISER (Prague): Determination of measures on metric and Banach space (two to three lectures) SECOND WEEK: JULY 13-18 1. Alessandro FIGA' - TALAMANCA (Rome): Theory of spherical functions with applications to harmonic analysis on utrametric compact homogeneous spaces. 2. Gilles GODEFROY (Paris): Haydon's work on trees and renorming theory. 3. Alexander KECHRIS (Cal Tech): Effective method in descriptive set theory. 4. Petar KENDEROV (Sofia): Generic differentiability and well posedness of optimization problems. 5. Alain LOUVEAU (Paris): Coanalytic sets and ranks in descriptive set theory and analysis. 6. Jose ORIHUELA (Murcia): Projectional resolutions, Markusevich bases and applications in the topology and Geometry of Banach spaces. 7. Nicholas VAROPOULOS (Paris): Analysis and geometry on groups (two to three lectures) 2. SCHEDULE FOR THE SUMMER SCHOOL Breakfast: 07:30-08:30 a.m. Morning Lectures (4-5 hour lectures): 8:30 a.m. - 1:30 p.m. Free Time (e.g. swimming) : 1:30 - 3 p.m. Lunch : 2-4 p.m. Afternoon Lectures (2 hour lectures): 4:30 - 6:30 p.m. Free Time: 6:30 p.m. ----- Note. The schedule seems rather heavy; hopefully it strikes a balance between serious work and some free time for relaxation. 3. LIST OF PARTICIPANTS Andreeva, Maia Bulgaria, student Ansorena, Jose L. Spain, student Apostolakis Nikos Greece, student Argyros, Spiros Greece Arregui, Jose L. Spain, student Atanasov, Emanuil Bulgaria, student Babisky, Vitezslav Czechoslovakia, student Barta, Petr Czechoslovakia, student Batakis, Athanasios Greece, student Canovas, Maria Josefa Spain, student Cerny, Jaroslav Czechoslovakia, student Cisek, Petr Czechoslovakia, student Daniilidis, Aris Greece, studxent Deliyanni, Ireni Greece, student Diaz, Jose Pedro Moreno Spain, student Farmaki, Vassiliki Greece Fasangova, Eva Czechoslovakia, studednt Figa'-Talamanca, Alessandro Italy Frontisi, France, student Georgiou, Dimitrios Greece, student Giannopoulos, Apostolis Greece, student Giurov, Boiko Georgiev Bulgaria, student Godefroy, Gilles France Gratsea, Dionysia Greece, student Hadjipantelidis, Panayotis Greece, student Heisler, Martin Czechoslovakia, student Iliadis, Stavros Greece Javurek, Jaromir Czechoslovakia, student Kaabucki, El. France, student Kada France Kechris, Alexander U.S.A. Kenderov, Petar Bulgaria Kortezov, Ivailo Bulgaria, student Kottas, Jiri Czechoslovakia Kratochvilova, Iva Czechoslovakia, student Krump, Lukas Czechoslovakia, student Kutzarova, Denka Bulgaria Kyrezi, Ioanna France, student Kyriakouli, Persephoni Greece, student Lehner, Franz Austria, student Levi, Rony Bulgaria Lopez, Juan Parra Spain student Louveau, Alain France Lukes, Jaroslav Czechoslovakia Maleev, Roumen Bulgaria Martinez, Maria Page Spain, student Matheron, Etienne France, student Matouskova, Eva Czechoslovakia, student Mercourakis, ,Sophocles Greece Merino, Jose Luis Gamez Spain,student Mitsis, Themis Greece, student Molto, Anibal Spain Negrepontis, Stelios Greece Orihuela, Jose Spain Panayotopoulos, Ioannis Greece, student Papadakis, Manos Greece, student Papadoperakis, Ioannis Greece, student Papanastassiou, Nikolaos Greece Pavlakos, Pericles Greece, student Perysinaki, Ireni Greece, Student Petrakis, Minos Greece Pisier, Gilles France Pyrih, Pavel Czechoslovakia Ranosova, Jarmila Czechoslovakia, student Revalski, Julian Bulgaria Ribarska, Nadejda Bulgaria Solecky, Zbynek Chechoslovakia, student Stamatopoulos, Chrysostomos Greece, student Stefanov, Atanas Bulgaria, Student Stegall, Charles Austria Stoev, Nikolai Bulgaria, Student Szarek, Stanislaw U.S.A. Tchuskovska Irena Bulgaria, student Tiser, Jaroslav Czechoslovakia Troyanski, Stanimir Bulgaria Truhlar, Pavel Czechoslovakia, Student Tsarpalias, Athanasios Greece Varopoulos, Nicholas France Vasilev, Veselin Kirilov Bulgaria, student Watbled, Frederique France, Student Zachariadis, Theodosios Greece Zamek, Martin Chechoslovakia, student Zapheiridou, Sophia Greece 4. BOATS TO SPETSES 1. The best way to go to Spetses is with a Flying Dolphin, that departs from a location in Piraeus called Marina Zeas, or Zea for short (whose exact address is: 8, Akti Themistokleous, Piraeus). These boats are fast and have a limited number of seats. Due to increased tourism during July, it may not be completely trivial to secure a ticket with Flying Dolphins. The trip takes about two to two and a half hours, depending on intermediate stops. Ticket price (one way): 2980 drachmas (about $ 15). For information call: 428.0001, 452.5107 (Piraeus central office), 324.2281 (Athens office). Here is an exact rundown of Flying Dolphin Schedule: Monday (13 departures): 5.30, 8.15, 8.30 (cat), 8.45, 9, 10, 12 14.30 (cat), 15, 16, 17, 17.30, 18.30. Tuesday (12 departures): 8.15, 8.30, (cat) 8.45, 9. 10, 12, 14.30 (cat), 15, 16,17, 17.30, 18.30. Wednesday 13 (departures): 8.10, 8.15, 8.30, 8.45, 9, 10, 12, 14.30 (cat), 15, 16, 17, 17.30, 18.30. Thursday (12 departures): 8.15, 8.30 (cat), 8.45, 9, 10, 12, 14.30 (cat), 15, 16, 17, 17.30, 18.30. Friday (15 departures): 8.15, 8.30 (cat), 8.45, 9, 10, 12, 14, 14.30 (cat), 15, 16, 17, 17.15, 17.30, 18.25 (cat), 18.30. Saturday (15 departures): 8, 8.10(cat), 8.15, 8.45, 8.50, 9, 10, 11, 12, 12.30, 14.30 (cat), 16, 17, 17.30, 18.30. Sunday (12 departures): 8.15, 8,30 (cat), 8.45, 9, 10, 12 14.30 (cat), 14.45, 16.05, 17.45, 18.30, 20.30. Note: Departures with indication Cat are with a Catamaran type boat of a capacity for 380 passengers. All other departures are with boats of a capacity 135-155 passengers. Note: Rough exchange rate $ 1 = 200 drachmas. 2. There are also regular boats that go to Spetses, but their schedules are probably not very convenient. They depart from Piraeus port (Karaiskaki Square, near the Piraeus Subway Station); the trip takes about five hours. Ticket price (one way): 1550 drachmas (about $ 7.50). These are the details: Eftyhia boat: departs at 8 a.m. every day (information: 412. 6181); Georgios boat: departs at 8:20 a.m. every day (information: 417.9668); Hydra boat: departs at 4 p.m. every Friday-this is probably a good and convenient schedule, and departs at 8:10 a.m. every Saturday and Sunday (information: 482.8001). Argosaronikos Port Authority (for general information): 412.4585. Note. An effort will be made to meet people when they arrive in Athens from abroad, especially if they come in groups. Please notify us as soon as possible about your travel plans. 5. "DRIVING" TO SPETSES One can drive from Athens to the locations PORTO HELI or KOSTA in Peloponnese. In Kosta there is a 24 hours parking facility, where you can leave your car and sail to Spetses with the small local boats (caiques or sea taxis). Driving time from Athens to Kosta: about four hours. Boat ride: 15 minutes (150 drachmas). There are also buses going from Athens to Kosta.Information at Kosta: 0754-21.218. No private cars are allowed in the island of Spetses. 6. USEFUL BUSES 1) From Athens Train Station (Larisa Station) to Omonoia Square: Take Trolley-Bus 1 (At Omonoia Square is the Central Station of the Subway System that goes to Piraeus Port). 2) From Omonoia Square to Piraeus Subway Station: Take the Subway Train 3) From Piraeus Subway Station to Marina Zeas: Take Buses 905 or 904. 4) From Western Airport (Flights with Olympic Airways only) to Piraeus: Take: 4a) Buses 109, 113, 114, 124, 125, 149, 205, or 4b) the Express Bus (every hour) 5) From Eastern Airport (all flights, except those with Olympic Airways) to Piraeus : Take: 5a) Bus 101 (every hour) 5b) the Express Bus (every hour). Tickets for Buses 1), 2), 3), 4a), or 5a) cost 75 drachmas, and must be bought BEFORE you enter the Bus (at the nearby kiosks). Tickets for Buses 4b) or 5b) cost 160 drachmas, and are paid to the bus driver directly. 7. TAXIS A taxi from the (Eastern or Western) Airport to a location in Piraues (Marina Zeas or Sea Port) costs about 1200 drachmas. 8. SOME INFORMATION ABOUT SPETSES Distance Piraeus - Spetses: about 55 miles Area : 22.5 sp. kms. The prinicpal town has about 4.000 inhabitants. There are many pine-trees on the island. (In fact the name Spetses derives from the ancient greek name "Pitiousa" = pine-tree island). On the island no private cars are allowed. One can move around with One-horse carriages (stations: 0298-72.345, 72.982), or Taxis (station: 0298-72.198). One can rent bikes (one rate given is the following: 400 drachmas/hour, 1600 dr./day, about 10.000 dr./week). There is a State Medical Station (open at nights, free of charge, with a medical doctor at hand); phone 72.472. There are also two private medical doctors on the island; here are their names and phones: Dr. Bougou-Karayanni Alexia (Mrs.)-office 72.879, home 73.144 Dr. Tsakiridis Spiros (Mr.) - office 72.2011, home 72.996 Dentist: Mrs. Ag. Zoumboulaki - phone 73.481 Drugstores: Mrs. Evgenia Kapelaki 73.394 Mrs. Ioanna Brati 72.480 Spetses See Port Authority: 0298-72.245 Police Department (including Tourist Police): phone 73.100 Olympic Airways: 73.141, 73.828 The office of National Telecommunication Organization (OTE) is open from 7.30 a.m. to 10 p.m. everyday including weekends. One can make long-distance calls from there. Phones: 72.121, 72.199. There are two movie theaters. The distance from Spetses Sea Port (called "Dapia" to the Anargyreios and Korgianeios School (AKS for short) is about 2 km. AKS phone: 0298-72.206. There are sports facilities on its premises (soccer, basketball, tennis, gym). Exactly in front of AKS there is a popular swimming spot. Other places of the island where one can swim are: Aghii Anargyroi - accessibly by bus, and by caiques, Zogeria, Agia Paraskevi - accessible by caiques. Everyday excursions by caiques to above places are announced at the port; they cost (round trip) about 600-700 drachmas. The AKS consists of five buldings. The lectures, the seminar room, the secretary's office the lounge, and the dining room are all located in Building A. In Building A there is also a Snack-Bar, with light food and refreshments, open from 7.30 a.m. till 11.30 p.m. The rooms at Anargyreios and Korgialeneios School will be available on Sunday evening (July 5); some rooms will be available on Saturday evening (July 4) for early arrivals. 9. EXCURSIONS: EPIDAVROS, MYCENAE, NAUPLIO Some sixty kilometers from Spetses, on the Eastern Peloponnese, lies the magnificent classical theater of Epidavros (Epidaurus, more latinwise) - one of the most beautiful Greek monuments. This is an active theater, with about 14.000 seats. On Sunday July 5, at 9 p.m., there is a performance of Euripides tragic play "Alcestis" by the National Institute of Ancient Drama of Syracuse (Italian group). On Friday July 10 and Saturday July 11, at 9 p.m., there is a performance of Sophocles tragic play "Electra" by the National Theater of Northern Greece. (Music by G. Kouroupos). There are no performances on Epidavros during the 17-19 July weekend. An excursion to Epidavros, via boat and bus, will take place on Saturday July 11. Return on same night after the performance. Cost for excursion including one ticket for performance (good seat) is about 4.800 drachmas (about $24). Other places of interest are the remains and Museum of Mycenae, and the picturesque city of Nauplion. An excursion can be organized for these places on Sunday July 12 if there is sufficient interest. 10. QUESTIONS, ADDITIONAL INFORMATION For ANY questions, additional information, etc. that you may have, please feel free to ask me, preferably by e-mail: sn at grathun1.bitnet After Saturday July 4 you can reach me at the AKS number 0298-72.206, FAX: 0298-72.208. Stelios Negrepontis
From banach-request at hardy.math.okstate.edu Mon Jul 06 11:03:08 1992 Received: from hardy.math.okstate.edu by hardy.math.okstate.edu id aa16282; 6 Jul 92 11:03 CDT To: banach at hardy.math.okstate.edu Subject: abstract of a paper by S. Argyros and I. Deliyanni Date: Mon, 6 Jul 92 11:04:20 CDT From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Status: RO
This is the abstract of the paper "Banach Spaces Of The Type Of Tsirelson" by S. Argyros and I. Deliyanni. The paper is typed in TeX. The paper may be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or transmitting the command send argyrosdeliyannitsrlsn.tex to: banach-files at hardy.math.okstate.edu. Abstract: To any pair ( M , theta ) where M is a family of finite subsets of N compact in the pointwise topology, and 0<theta < 1 , we associate a Tsirelson-type Banach space T_M^theta . It is shown that if the Cantor-Bendixson index of M is greater than n and theta >{1/n} then T_M^theta is reflexive. Moreover, if the Cantor-Bendixson index of M is greater than omega then T_M^theta does not contain any l^p, while if the Cantor-Bendixson index of M is finite thenT_M^theta contains some l^p or c_o . In particular, if M ={ A subset N : |A| leq n } and {1/n}<theta <1 then T_M^theta is isomorphic to some l^p .
From mmdf at hardy.math.okstate.edu Tue Jul 21 13:53:44 1992 3:44 1992 Received: from hardy.math.okstate.edu by hardy.math.okstate.edu id aa28984; 21 Jul 92 13:53 CDT To: banach at hardy.math.okstate.edu Subject: abstract of a paper by E. Odell, H.P. Rosenthal and Th. Schlumprecht Date: Tue, 21 Jul 92 13:55:45 CDT From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Status: RO
This is the abstract of the paper "On Weakly Null FDD's in Banach Spaces" by E. Odell, H.P. Rosenthal and Th. Schlumprecht. The paper is typed in TeX. The paper may be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or transmitting the command send odellschlumprosen1.tex and send odellschlumprosen2.tex in separate email messages to: banach-files at hardy.math.okstate.edu. Abstract: In this paper we show that every sequence (F_n) of finite dimensional subspaces of a real or complex Banach space with increasing dimensions can be ``refined'' to yield an F.D.D. (G_n), still having increasing dimensions, so that either every bounded sequence (x_n), with x_n in G_n for n in N, is weakly null, or every normalized sequence (x_n), with x_n in G_n for n in N, is equivalent to the unit vector basis of l_1. Crucial to the proof are two stabilization results concerning Lipschitz functions on finite dimensional normed spaces. These results also lead to other applications. We show, for example, that every infinite dimensional Banach space X contains an F.D.D. (F_n), with lim_{n to infty} dim (F_n)=infty, so that all normalized sequences (x_n), with x_n in F_n, n in N, have the same spreading model over X. This spreading model must necessarily be 1-unconditional over X.
From alspach Fri Sep 4 14:56:19 1992 To: banach Subject: Second announcement of UTAMIRFAS Status: RO
SECOND ANNOUNCEMENT OF FALL UTAMIRFAS The U.T.-A&M Informal Regional Functional Analysis Seminar will meet Saturday, September 19 and Sunday, September 20 in Milner Hall at Texas A&M in College Station. Tentative Schedule Saturday, September 19 9:30 Coffee & Donuts 10:00- V. Peller, Texas A&M University, Super-optimal 10:50 approximation by analytic functions 11:00- H. P. Rosenthal, University of Texas at Austin, 11:50 A characterization of Banach spaces containing c_0 12:00- T. Schlumprecht, Texas A&M University, On possible 12:50 generalizations of Krivine's theorem 1:00- Break for lunch 2:20 2:30- G. Pisier, Texas A&M University, Completely bounded 3:20 multipliers on nonamenable groups 3:30- J. Jenkins, National Science Foundation, Spherical functions 4:20 on Heisenberg groups 4:30- Coffee Break 4:50 5:00- V. Milman, Tel Aviv University & Ohio State University, Spectrum and distortion: 6:00 interaction of high and infinite dimensional geometry Sunday, September 20 9:00 Coffee & Donuts 9:30- N. Kalton, University of Missouri, Calderon-Mityagin couples 10:20 of rearrangement invariant function spaces 10:30- Keith Ball, Texas A&M University, A lower bound for the 11:20 optimal density of sphere packings 11:30- R. Smith, Texas A&M University, Automatic complete 12:20 boundedness We expect to be able to cover housing for a small number of participants. Preference will be given to participants who do not have other sources of support, such as sponsored research grants. IMPORTANT ADDITION: Most motels are already booked for the weekend of the meeting. If you do not now have a reservation, you should contact Deidra Williams ASAP. We have blocked out rooms at Motel 6, 2327 Texas Av S, (409) 696-3379, $27; you will need to go through Deidra to get one of these rooms. Below are some other local motels; those which say they are completely booked are marked with an asterisk. In Southwood Valley, where most local participants live: *Quality Inn, 2514 Texas Av S, (409) 696-6988, $40 (up to 4). *Manor House Inn, 2504 Texas Av S, (409) 764-9540, $44, $49. Ponderosa Motor Inn, 3702 Texas Av S, (409) 693-6810, $20, $25. On campus: *Memorial Student Center Guest Rooms, (409) 845-8909. Near campus, but not fun to walk: *Hampton Inn, 320 Texas Av S, (409) 846-0184, $44. *La Quinta Inn, 607 Texas Av S, (409) 696-5900, $36. *Holiday Inn, 1503 Texas Av S, (409) 693-1736, $44. *Comfort Inn, 104 Texas Av S, (409) 846-733, $37, $42. Western Motel, 204 Texas Av S, (409) 846-5757. Generally considered the top place in town: *Hilton, 801 University Dr E, (409) 693-7500, $47, $62. Next door to Hilton: *Inn at Chimney Hill, 901 University Dr E (409) 260-9150, $45, $59. On Friday, September 18, at 8:00 PM, Jan and Bill Johnson will host at their home a party for early arriving participants and faculty in the department of mathematics at Texas A&M. Bill Johnson wbj7835 at tamvenus, wbj7835 at venus.tamu.edu 1306 Deacon Dr., College Station, (409) 696-2812 (H) 845-2722 (O) Deidra Williams dlw4298 at tamvenus, dlw4298 at venus.tamu.edu (409) 845-3261 (409) 845-6028 FaX
From banach-request at hardy.math.okstate.edu Tue Sep 8 10:24:51 1992 Received: from hardy.math.okstate.edu by Status: RO hardy.math.okstate.edu id aa05887; 8 Sep 92 10:24 CDT Received: by hardy.math.okstate.edu id aa05071; 8 Sep 92 10:14 CDT To: banach at hardy.math.okstate.edu Subject: Abstract of a paper by N Gronbaek, B.E. Johnson, and G.A. Willis Date: Tue, 8 Sep 92 10:22:06 CDT From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Status: RO
This is the abstract of the paper "Amenability of Banach algebras of compact operators" by N Gronbaek, B.E. Johnson, and G.A. Willis. The paper is typed in AMSTeX. The paper may be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or transmitting the commands send gronjohnwill1.atx and send gronjohnwill2.atx in separate messages to: banach-files at hardy.math.okstate.edu. Abstract: In this paper we study conditions on a Banach space X that ensure that the Banach algebra K(X) of compact operators is amenable. We give a symmetrized approximation property of X which is proved to be such a condition. This property is satisfied by a wide range of Banach spaces including all the classical spaces. We then investigate which constructions of new Banach spaces from old ones preserve the property of carrying amenable algebras of compact operators. Roughly speaking, dual spaces, predual spaces and certain tensor products do inherit this property and direct sums do not. For direct sums this question is closely related to factorization of linear operators. In the final section we discuss some open questions, in particular, the converse problem of what properties of X are implied by the amenability of K(X).
From banach-request at hardy.math.okstate.edu Thu Sep 10 10:48:10 1992 Received: from hardy.math.okstate.edu by hardy.math.okstate.edu id aa03016; 10 Sep 92 10:48 CDT To: banach at hardy.math.okstate.edu Subject: Abstract of a paper by J. Bastero, J. Buernes and A. Pena Date: Thu, 10 Sep 92 10:49:17 CDT From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Status: RO
This is the abstract of the paper "The theorems of Caratheodory and Gluskin for $0<p<1$" by J. Bastero, J. Buernes and A. Pena The paper is typed in plain TeX. The paper may be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or transmitting the command send basterobuernespena.tex to: banach-files at hardy.math.okstate.edu. Abstract: In this note we investigate some aspects of the local structure of finite dimensional $p$-Banach spaces. The well known theorem of Gluskin gives a sharp lower bound of the diameter of the Minkowski compactum. In [Gl] it is proved that diam$({\cal M}_n^1)\geq cn$ for some absolute constant $c$. Our purpose is to study this problem in the $p$-convex setting. In [Pe], T. Peck gave an upper bound of the diameter of ${\cal M}_n^p$, the class of all $n$-dimensional $p$-normed spaces, namely, diam$({\cal M}_n^p)\leq n^{2/p-1}$. We will show that such bound is optimum.
From banach-request at hardy.math.okstate.edu Tue Sep 15 09:24:35 1992 Received: from hardy.math.okstate.edu by hardy.math.okstate.edu id aa03600; 15 Sep 92 9:24 CDT To: banach at hardy.math.okstate.edu Subject: Announcement of a conference Date: Tue, 15 Sep 92 9:26:30 CDT From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Status: RO
INTERNATIONAL CONFERENCE APPROXIMATION, PROBABILITY AND RELATED FIELDS May 20-22, 1993 University of California, Santa Barbara The main purpose of the conference is to bring together national and international researchers in approximation, probability and related fields in an intense and intimate environment conducive to interacting. The emphasis is on the interplay of important topics in approximation theory and probability. Topics will include: - approxmation of functions by polynomials, splines operators and their applications to stochastics. - numerical methods for approximation of deterministic and stochastic integrals. - orthogonal polynomials and stochastic processes. - positive linear operators and related deterministic and stochastic inequalities. - multivariate approximation and interpolation. - approximations and martingales. - deterministic and stochastic inequalities. - stability of deterministic and stochastic models. - signal analysis. - prediction theory. - wavelets and approximations During the 3 days, approximately fifty papers will be presented, in a series of two parallel sessions. The program committee will select the papers to be presented on the basis of extended abstracts to be submitted as described in this brochure. The proceedings of the conference will contain full texts of all presented papers and will be published in 1994. Several publishers have shown interest in publishing the proceedings. ORGANIZING COMMITTEE Chairmen: George Anastassiou Department of Mathematical Sciences Memphis State University Memphis, TN USA Svetlozar T. Rachev Department of Statistics and Applied Probability University of California Santa Barbara, CA 93106 USA Members: Paul L. Butzer Lehrstuhl A fur Mathematik RWTH Aachen Templergraben 55, W-5100 Aachen Stamatis Cambanis Department of Statistics University of North Carolina Chapel, Hill, NC 27599-3260 Zuhair Nashed Department of Mathematics University of Delaware Newark, Delaware 19716 The Meeting The International Conference on "Approximation Probability and Related Fields: will take place at the University of California, Santa Barbara, Department of Statistics and Applied probability, Santa Barbara, CA 93106-3110, on Thurs, Fri and Sat, May, 20, 21 and 22 of 1993. Main Speakers The following have already accepted an invitation to be main speakers R. Adler, Technion University P.L. Butzer, RWTH, Aachen S. Cambanis, University of North Carolina P. Erdos, Hungarian Academy of Sciences R. Karandikar, Indian Statistical Institute J.H.B. Kemperman, Rutgers University G.G. Lorentz, University of Texas M. Maejima, Keio Unversity C. Micchelli, IBM, Yorktown Heights L. Ruschendorf, University of Munster G. Samorodnitsky, Cornell University G. Strang, M.I.T. M. Taqqu, Boston University W. Vervaat, Catholic University at Nijmegen Instructions fo Contributors Persons wishing to submit a paper should sent 3 copies of an extended abstract before December 31, 1992 to the following address: Dr. S. T. Rachev Statistics and Applied Probability University of California Santa Barbara, CA 93106-3110 The extended abstract should be between 5 and 10 pages in length (typed, double spaced) i.e. approximately 2,000 words. It must proved sufficient details concerning the results and their significance to enable the program committee to make its selection. The speakers of all accepted talks will be notified by March 15, 1993. Final full versions of all papers for the proceedings must be provided by September 15, 1993. This will enable the proceedings to be printed and made available in 1994. Authors of all accepted papers for the proceedings will be provided with notification of acceptance. Conference Fee General fee $120 Early registration: $100 by March 31, 1993 Student: $50 Student early registration: $40 Please sent check to: Organizing Committee for APR Statistics and Applied Probability University of California Santa Barbara, CA 93106-3110 Accommotation Rooms have been set aside for conference participants at: South Coast Inn, (800) 350-3614 5620 Calle Real Goleta, California 93117 and Holiday Inn, (800) 465-4329 5650 Calle Real Goleta, California 93117 Make reservations on your own and ask for the special rates for this conference (approximately $68 per night plus tax.) Rooms will be released after April 24, 1993. Dates December 31, 1992 Deadline for submission of extended abstracts of papers. March 15, 1993 Notification of acceptance. March 31, 1993 Deadline for early registration. April 24, 1993 Hotel Reservation Deadline May 20-22, 1993 International Conference "Approximation, Probability and Related Fields" Sept. 15, 1993 Deadline for submission of full text of the papers for the proceedings. Dec. 31, 1993 Notification of acceptance of papers. Statistic and Applied Probability University of California Santa Barbara, California 93106-3110 Registration Form Approximation, Probability and Related Fields (May 20-22, 1993) Last Name First Middle Initial Affiliation Position Address City State Postal code Business Phone Home Email Tenative Title of Talk Amount Enclosed All charges must be paid in U.S. currency, drawn on a U.S. bank in the form of a check or money order made payable to Organizing Committee for APR. Mail to Organizing Committee for APR; Statistics and Applied Probability; University of California, Santa Barbara, CA 93106-3110; USA
From banach-request at hardy.math.okstate.edu Tue Sep 15 13:38:22 1992 Received: from hardy.math.okstate.edu by hardy.math.okstate.edu id aa02482; 15 Sep 92 13:38 CDT To: banach at hardy.math.okstate.edu Subject: Abstract of a paper by V. Milman and N. Tomczak-Jaegermann Date: Tue, 15 Sep 92 13:42:43 CDT From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Status: RO
This is the abstract of the paper "Asymptotic $l_p$ spaces and bounded distortions" by Vitali D. Milman and Nicole Tomczak-Jaegermann The paper is typed in LaTeX. The paper may be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or transmitting the commands send milmantomczak1.ltx send milmantomczak2.ltx send milmantomczak3.ltx in separate messages to: banach-files at hardy.math.okstate.edu. Abstract: The new class of Banach spaces, so-called asymptotic $l_p$ spaces, is introduced and it is shown that every Banach space with bounded distortions contains a subspace from this class. The proof is based on an investigation of certain functions, called enveloping functions, which are intimately connected with stabilization properties of the norm.
From banach-request at hardy.math.okstate.edu Thu Sep 17 09:17:03 1992 Received: from hardy.math.okstate.edu by hardy.math.okstate.edu id aa06830; 17 Sep 92 9:16 CDT To: banach at hardy.math.okstate.edu Subject: Position at U. of Missouri Date: Thu, 17 Sep 92 9:16:15 CDT From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Status: RO
UNIVERSITY OF MISSOURI DEPARTMENT OF MATHEMATICS COLUMBIA, MO 65211 E-mail MATHUMC at MIZZOU1.MISSOURI.EDU Applications are invited for one tenure-track position at the rank of assistant professor beginning in August of 1993. The position requires a PH.D., quality teaching, and a commitment to a distinguished research career. Selections for the position will be based primarily on demonstrated research achievement in the areas of dynamical systems or modern analysis. Rank and salary depend on experience and qualifications. Send a curriculum vitae along with a letter of application (include E-mail address), and arrange for three letters of recommendation to be sent to: Professor E. Saab, Chair, at the address above. The application deadline is December 31, 1992, or until the position is filled thereafter. Applications received after February 1, 1993, cannot be guaranteed consideration. AA/EEO.
From banach-request at hardy.math.okstate.edu Tue Sep 22 13:38:05 1992 Received: from hardy.math.okstate.edu by hardy.math.okstate.edu id aa26710; 22 Sep 92 13:38 CDT To: banach at hardy.math.okstate.edu Subject: Abstract of a paper by W.B. Johnson and G. Schechtman Date: Tue, 22 Sep 92 13:29:48 CDT From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Status: RO
This is the abstract of the paper "Computing p-summing norms with few vectors" by W.B. Johnson and G. Schechtman. The paper is typed in plain TeX. The paper may be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or transmitting the command send johnsonschechtmanpsum.tex to: banach-files at hardy.math.okstate.edu. Abstract: It is shown that the p-summing norm of any operator with n-dimensional domain can be well-aproximated using only ``few" vectors in the definition of the p-summing norm. Except for constants independent of n and log n factors, ``few" means n if 1<p<2 and n^{p/2} if 2<p<infinity.
From banach-request at hardy.math.okstate.edu Fri Sep 25 12:51:42 1992 Received: from hardy.math.okstate.edu by hardy.math.okstate.edu id aa22021; 25 Sep 92 12:51 CDT To: banach at hardy.math.okstate.edu Subject: Abstract of a paper by N.J. Kalton Date: Fri, 25 Sep 92 12:44:57 CDT From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Status: RO
This is the abstract of the paper " Calder\'on couples of re-arrangement invariant spaces" by N. J. Kalton. The paper is typed in TeX. (Requires vanilla.sty.) The paper may be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or transmitting the commands send kaltoncaldcup1.tex send kaltoncaldcup2.tex send kaltoncaldcup3.tex in separate messages to: banach-files at hardy.math.okstate.edu. Abstract:We examine conditions under which a pair of re-arrangement invariant function spaces on $[0,1]$ or $[0,\infty)$ form a Calder\'on couple. A very general criterion is developed to determine whether such a pair is a Calder\'on couple, with numerous applications. We give, for example, a complete classification of those spaces $X$ which form a Calder\'on couple with $L_{\infty}.$ We specialize our results to Orlicz spaces and are able to give necessary and sufficient conditions on an Orlicz function $F$ so that the pair $(L_F,L_{\infty})$ forms a Calder\'on pair.
From banach-request at hardy.math.okstate.edu Fri Sep 25 15:14:26 1992 Received: from hardy.math.okstate.edu by hardy.math.okstate.edu id aa08008; 25 Sep 92 15:14 CDT To: banach at hardy.math.okstate.edu Subject: Abstract of a paper by N.J. Kalton Date: Fri, 25 Sep 92 15:11:56 CDT From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Status: RO
This is the abstract of the paper "On vector-valued inequalities for Sidon sets and sets of interpolation" by N.J. Kalton. The paper is typed in TeX. (Requires vanilla.sty.) The paper may be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or transmitting the command send kaltonsidon.tex to: banach-files at hardy.math.okstate.edu. Abstract: Let $E$ be a Sidon subset of the integers and suppose $X$ is a Banach space. Then Pisier has shown that $E$-spectral polynomials with values in $X$ behave like Rademacher sums with respect to $L_p-$norms. We consider the situation when $X$ is a quasi-Banach space. For general quasi-Banach spaces we show that a similar result holds if and only if $E$ is a set of interpolation ($I_0$-set). However for certain special classes of quasi-Banach spaces we are able to prove such a result for larger sets. Thus if $X$ is restricted to be ``natural'' then the result holds for all Sidon sets. We also consider spaces with plurisubharmonic norms and introduce the class of analytic Sidon sets.
From banach-request at hardy.math.okstate.edu Mon Sep 28 10:05:41 1992 Received: from hardy.math.okstate.edu by hardy.math.okstate.edu id aa25663; 28 Sep 92 10:05 CDT To: banach at hardy.math.okstate.edu Subject: Abstract of a paper by P.F.X. Mueller Date: Mon, 28 Sep 92 9:59:32 CDT From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Status: RO
This is the abstract of the paper "Jean Bourgain's analytic partition of unity via holomorphic martingales" by P.F.X. Mueller. The paper is typed in LATeX. The paper may be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or transmitting the command send muellerparto1.ltx to: banach-files at hardy.math.okstate.edu. Abstract: Using stopping time arguments on holomorphic martingales we present a soft way of constructing J. Bourgain's analytic partitions of unity. Applications to Marcinkiewicz interploation in weighted Hardy spaces are discussed.
From banach-request at hardy.math.okstate.edu Wed Sep 30 10:36:30 1992 Received: from hardy.math.okstate.edu by hardy.math.okstate.edu id aa01870; 30 Sep 92 10:36 CDT To: banach at hardy.math.okstate.edu Subject: Abstract of a paper by J. Taskinen Date: Wed, 30 Sep 92 10:24:42 CDT From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Status: R
This is the abstract of the paper "Averaging operators on spaces of continuous functions" by J. Taskinen. The paper is typed in TeX. (Requires mssymb.tex.) The paper may be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or transmitting the commands send taskinenaveop1.tex send taskinenaveop2.tex in separate messages to: banach-files at hardy.math.okstate.edu. Abstract: In this paper we consider the following problem: (A) Given two compact metric spaces $K$ and $K_1$ such that there exists a continuous surjection from $K$ onto $K_1$ find a continuous surjection $\varphi : K \to K_1$ having an averaging operator. We say that the map $\varphi$ as above has an averaging operator if $\varphi^{\circ} (C(K_1))$ is complemented in $C(K)$, where $\varphi^{\circ} : C(K_1) \to C(K)$ is the linear operator $f \mapsto f \circ \varphi$. It was shown by Milutin that such a surjection exists, if $K$ is the Cantor set and $K_1$ is the closed unit interval $I$. Pe{\l}cz\'ynski, [P], Theorem 5.6 and Proposition 5.8, generalized this result to the case $K_1$ is an arbitrary Cartesian product of compact metric spaces or an absolute neighbourhood retract. Further generalizations are due to Ditor, [Dt]. Most of the above results deal with the case $K$ is extremally disconnected. So, there exists many most important and natural cases where the answer to (A) is not known, for example $K = I$, $K_1=I^2$ or $K_1 = Q$, the Hilbert cube. In this paper we prove the following general result: If $K$ is a compact metric space containing a subspace homeomorphic to $I$ and if $K_1$ is a connected compact metric absolute neighbourhood retract, then the answer to (A) is positive (Theorem 4.5). Note that for example $Q$ and all compact manifolds are ANR spaces, so that our result contains the above mentioned unknown cases. As an application of the preceding results we consider multilinear ($M$-linear, $M \geq 2)$ operators P from the $M$-fold Cartesian product of the Banach space $C(K)$, $(C(K))^{M}$ into a Banach space $X$. Using our studies on averaging operators we find sufficient conditions for the space $K$ and for the operator $P$ such that $P$ has for some bounded linear operators $A \in L(C(K))$ and $B\in L(C(K),X^{**})$ (or $B\in L(C(K))$, if $X = C(K) $) a representation $$ P(f_1,\ldots , f_M ) = B (\prod^{M}_{i=1}Af_i), \eqno(1.1) $$ where $f_1, \ldots , f_M \in C(K) $ and multiplication is defined pointwise. It turns out that for many spaces $K$ the class of such operators $P$ is unexpectedly large: $P$ has a representation (1.1), if the $M$-linear form $P_y: (f_1, \ldots ,f_M) \mapsto \langle P(f_1, \ldots, f_M) , y \rangle $ is Grothendieck--integral on $( C(K))^{M}$ for all $y \in X^*$ and $P_y$ depends in a sense continuously on $y$ (Theorem 5.2). In the case $X$ is reflexive this condition is also necessary. Using the Gelfand transform we get a representation (1.1) (with algebra multiplication) for commutative $C^*$--algebras the maximal ideal space of which is e.g. a connected metric ANR containing a subspace homeomorphic to $I$ (Theorem 5.3). ---------------------------------------------------------------------------- Note this replaces the author's paper "Representation of bilinear operators on C(0,1)" which was stored on the bulletin board as taskinenbilinear.tex.
From banach-request at hardy.math.okstate.edu Thu Oct 1 09:50:49 1992 Received: from hardy.math.okstate.edu by hardy.math.okstate.edu id aa09081; 1 Oct 92 9:50 CDT To: banach at hardy.math.okstate.edu Subject: stray messsages Date: Thu, 1 Oct 92 9:43:30 CDT From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Status: R
Several subscribers have complained recently about stray messages. In all cases these are the result of people sending mail to banach at hardy.math.okstate.edu instead of the correct address banach-files at hardy.math.okstate.edu. The former address causes the user's message to be automatically forwarded to all subscribers. This possiblity is allowed so that messages can be distributed when I am away, if needed. If problems continue, this feature may have to be disabled. Dale Alspach
From banach-request at hardy.math.okstate.edu Thu Oct 8 10:48:55 1992 Received: from hardy.math.okstate.edu by hardy.math.okstate.edu id aa13489; 8 Oct 92 10:48 CDT To: banach at hardy.math.okstate.edu Subject: conference Date: Thu, 8 Oct 92 10:41:13 CDT From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Status: R
*******This message was sent earlier but due to technical problems, many people *******did not get this message.************************************ **************************************************************** Dear Colleague, Thank you for your interest in the Banach space theory conference planned for May 1993 at Western Hills Guest Ranch. Because of some unexpected budgetary problems and the number of other conferences in Banach space theory planned for 1993, we have reluctantly decided to cancel the conference. Sincerely, Dale Alspach Carsten Schutt
From banach-request at hardy.math.okstate.edu Thu Oct 8 11:44:45 1992 Received: from hardy.math.okstate.edu by hardy.math.okstate.edu id aa17178; 8 Oct 92 11:44 CDT To: banach at hardy.math.okstate.edu Subject: Abstract of a paper by H.P. Rosenthal Date: Thu, 8 Oct 92 10:45:24 CDT From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Status: R
This is the abstract of the paper "A characterization of Banach spaces containing $c_0$" by Haskell Rosenthal. The paper is typed in TeX. The paper may be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or transmitting the command send rosenthalc0_1.tex send rosenthalc0_2.tex send rosenthalc0_3.tex send rosenthalc0_4.tex in separate messages to: banach-files at hardy.math.okstate.edu. Abstract: A subsequence principle is obtained, characterizing Banach spaces containing $c_0$, in the spirit of the author's 1974 characterization of Banach spaces containing $\ell^1$. Definition: A sequence $(b_j)$ in a Banach space is called {\it strongly summing\/} (s.s.) if $(b_j)$ is a weak-Cauchy basic sequence so that whenever scalars $(c_j)$ satisfy $\sup_n \|\sum_{j=1}^n c_j b_j\| <\infty$, then $\sum c_j$ converges. A simple permanence property: if $(b_j)$ is an (s.s.) basis for a Banach space $B$ and $(b_j^*)$ are its biorthogonal functionals in $B^*$, then $(\sum_{j=1}^n b_j^*)_{n=1}^ \infty$ is a non-trivial weak-Cauchy sequence in $B^*$; hence $B^*$ fails to be weakly sequentially complete. (A weak-Cauchy sequence is called {\it non-trivial\/} if it is {\it non-weakly convergent\/}.) Theorem. Every non-trivial weak-Cauchy sequence in a (real or complex) Banach space has either an {\rm (s.s.)} subsequence, or a convex block basis equivalent to the summing basis. Remark : The two alternatives of the Theorem are easily seen to be mutually exclusive. Corollary 1. A Banach space $B$ contains no isomorph of $c_0$ if and only if every non-trivial weak-Cauchy sequence in $B$ has an {\rm (s.s.)} subsequence. Combining the $c_0$ and $\ell^1$ Theorems, we obtain Corollary 2. If $B$ is a non-reflexive Banach space such that $X^*$ is weakly sequentially complete for all linear subspaces $X$ of $B$, then $c_0$ embeds in $X$; in fact, $B$ has property~$(u)$. The proof of the Theorem involves a careful study of differences of bounded semi-continuous functions. The results of this study may be of independent interest. -------------------------------------------------------- These results were announced on the Banach spaces bulletin board earlier.
From banach-request at hardy.math.okstate.edu Mon Oct 19 15:55:58 1992 Received: from hardy.math.okstate.edu by hardy.math.okstate.edu id aa29362; 19 Oct 92 15:55 CDT To: banach-dist at hardy.math.okstate.edu Subject: Abstract of a paper by A. Koldobsky Date: Mon, 19 Oct 92 15:50:13 CDT From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Status: R
This is the abstract of the paper "Schoenberg's Problem on Positive Definite Functions" by A. Koldobsky. The paper is typed in AMSLaTeX. The paper may be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or transmitting the command send koldobskyposdef.ltx to: banach-files at hardy.math.okstate.edu. Abstract: If $n \ge 3$, $q>2$ and $\beta > 0$ then the function $\exp(-(|x_1|^q+|x_2|^q+\dots+|x_n|^q)^{\beta/q})$\ is not positive definite. This result gives an answer to a question posed by I.J.~Schoenberg in 1938. This text is an authorized English translation of the paper published in Russian in Algebra and Analysis 3(1991), \#3, p.78--85.
From banach-request at hardy.math.okstate.edu Thu Oct 22 09:12:15 1992 Received: from hardy.math.okstate.edu by hardy.math.okstate.edu id aa23591; 22 Oct 92 9:12 CDT To: banach-dist at hardy.math.okstate.edu Subject: abstract of a paper by S. Montgomery-Smith Date: Thu, 22 Oct 92 9:05:16 CDT From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Status: R
This is the abstract of the paper "The Distribution of Non-Commutative Rademacher Series" by Stephen Montgomery-Smith. The paper is typed in TeX. The paper may be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or transmitting the commands send montsmithradser1.tex and send montsmithradser2.tex in separate messages to: banach-files at hardy.math.okstate.edu. Abstract: We give a formula for the tail of the distribution of the non-commutative Rademacher series, which generalizes the result that is already available in the commutative case. As a result, we are able to calculate the norm of these series in many rearrangement invariant spaces, generalizing work of Pisier and Rodin and Semyonov.
From banach-request at hardy.math.okstate.edu Fri Oct 30 10:53:30 1992 To: banach-dist at hardy.math.okstate.edu Subject: New address for Robert Deville Date: Fri, 30 Oct 92 9:14:48 CST From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Content-Length: 113 X-Lines: 9 Status: RO
I am now in Bordeaux. Here is my new email adress : deville at ecole.greco-prog.fr Sincerely. Robert Deville.
From banach-request at hardy.math.okstate.edu Fri Oct 30 13:02:21 1992 To: banach-dist at hardy.math.okstate.edu Subject: Abstract of a paper by Joerg Wenzel Date: Fri, 30 Oct 92 12:56:19 CST From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Content-Length: 711 X-Lines: 27 Status: RO
This is the abstract of the paper "Mean Convergence of Vector--valued Walsh Series" by Joerg Wenzel. The paper is typed in LATeX. The paper may be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or transmitting the command send wenzelwa.ltx to: banach-files at math.okstate.edu. Abstract: Given any Banach space $X$, let $L_2^X$ denote the Banach space of all measurable functions $f:[0,1]\to X$ for which ||f||_2:=(int_0^1 ||f(t)||^2 dt)^{1/2} is finite. We show that $X$ is a UMD--space (see \cite{BUR:1986}) if and only if \lim_n||f-S_n(f)||_2=0 for all $f\in L_2^X$, where S_n(f):=sum_{i=0}^{n-1} (f,w_i)w_i is the $n$--th partial sum associated with the Walsh system $(w_i)$.
From banach-request at hardy.math.okstate.edu Mon Nov 2 10:30:58 1992 To: banach-dist at hardy.math.okstate.edu Subject: Abstract of a paper by N.J. Kalton and S.C. Tam and note on addresses Date: Mon, 2 Nov 92 10:19:31 CST From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Content-Length: 1099 X-Lines: 28 Status: RO
The addresses for the bulletin board and individuals here at Oklahoma State have been shortened. alspach at hilbert.math.okstate.edu is now alspach at math.okstate.edu banach-files at hardy.math.okstate.edu is now banach-files at math.okstate.edu The old addresses still work but may be dropped at a later date. ftp.math.okstate.edu has not changed. ---------------------------------------------------------- This is the abstract of the paper " Factorization theorems for quasi-normed spaces" by N.J. Kalton and Sik-Chung Tam. The paper is typed in TeX. The paper may be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or transmitting the command send kaltontamfactor.tex to: banach-files at math.okstate.edu. Abstract: We extend Pisier's abstract version of Grothendieck's theorem to general non-locally convex quasi-Banach spaces. We also prove a related result on factoring operators through a Banach space and apply our results to the study of vector-valued inequalities for Sidon sets. We also develop the local theory of (non-locally convex) spaces with duals of weak cotype 2.
From banach-request at hardy.math.okstate.edu Wed Nov 4 10:30:30 1992 To: banach-dist at hardy.math.okstate.edu Subject: Abstract of a paper by M. Cwikel and N.J. Kalton Date: Wed, 4 Nov 92 8:52:44 CST From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Content-Length: 827 Status: RO X-Lines: 19
This is the abstract of the paper "Interpolation of compact operators by the methods of Calder\'on and Gustavsson-Peetre" by M. Cwikel and N.J. Kalton. The paper is typed in TeX. The paper may be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or transmitting the command send cwikelkaltoncmptop.tex to: banach-files at math.okstate.edu. Abstract:Let $ X=(X_0,X_1)$ and $ Y=(Y_0,Y_1)$ be Banach couples and suppose $T: X\to Y$ is a linear operator such that $T:X_0\to Y_0$ is compact. We consider the question whether the operator $T:[X_0,X_1]_{\theta}\to [Y_0,Y_1]_{\theta}$ is compact and show a positive answer under a variety of conditions. For example it suffices that $X_0$ be a UMD-space or that $X_0$ is reflexive and there is a Banach space so that $X_0=[W,X_1]_{\alpha}$ for some $0<\alpha<1.$
From banach-request at hardy.math.okstate.edu Thu Nov 5 14:11:43 1992 To: banach-dist at hardy.math.okstate.edu Subject: Abstract of a paper by N.J. Kalton and B.Randrianantoanina Date: Thu, 5 Nov 92 14:02:20 CST From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Content-Length: 839 X-Lines: 21 Status: RO
This is the abstract of the paper "Surjective isometries on rearrangement-invariant spaces" by N.J. Kalton and Beata Randrianantoanina. The paper is typed in TeX. The paper may be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or transmitting the command send kaltonrandisomri1.tex send kaltonrandisomri2.tex in separate messages to: banach-files at math.okstate.edu. Abstract: We prove that if $X$ is a real rearrangement-invariant function space on $[0,1]$, which is not isometrically isomorphic to $L_2,$ then every surjective isometry $T:X\to X$ is of the form $Tf(s)=a(s)f(\sigma(s))$ for a Borel function $a$ and an invertible Borel map $\sigma:[0,1] \to [0,1].$ If $X$ is not equal to $L_p$, up to renorming, for some $1\le p\le \infty$ then in addition $|a|=1$ a.e. and $\sigma$ must be measure-preserving.
From banach-request at hardy.math.okstate.edu Wed Nov 11 09:02:22 1992 To: banach-dist at hardy.math.okstate.edu Subject: Conference in South Africa Date: Wed, 11 Nov 92 8:53:27 CST From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Content-Length: 3583 X-Lines: 131 Status: RO
INTERNATIONAL CONFERENCE IN ABSTRACT ANALYSIS KRUGER NATIONAL PARK, REPUBLIC OF SOUTH AFRICA 14 - 23 APRIL 1993 SECOND ANNOUNCEMENT Scientific Programme The Conference will be devoted to various aspects of abstract analysis such as: * Banach space theory * Banach lattices and Positive operators * Operator theory * Operator algebras * Semi-groups of operators * Vector measures * Locally convex spaces. Keynote speakers: Richard M Aron (Dept Maths & Computer Science, Kent State Univ, USA) Algebras of analytical functions on a Banach space C E Chidume (Dept Maths, Univ Ibadan, Ibadan, Nigeria) Characteristic inequalities in Banach spaces with applications to nonlinear operator theory Joe Diestel (Dept Maths & Computer Science, Kent State Univ, USA) Measure theory and abstract analysis Peter G Dodds (School of Math Sciences, Flinders Univ, Australia) Some aspects of the theory of symmetric operator spaces Positive compact operators Per Enflo (Dept Maths & Computer Science, Kent State Univ, USA) Interface between harmonic analysis, number theory and the geome- try of Euclidean spaces Jacobus J Grobler (Dept Maths & Applied Maths, Potchefstroom Univ for CHE, RSA) Spectral theory in ordered algebras Hans Jarchow (Math Inst, Univ Zuerich, Switzerland) A survey on composition operators Hermann Koenig (Math Sem, Christian-Albrechts Univ, Kiel, Germany) Interpolation inequalities and type and cotype for orthogonal series Vector-valued Lp-convergence of orthogonal series and Lagrange interpolation Victor Lomonosov (Dept Maths & Computer Science, Kent State Univ, USA) Applications of weakly continuous function techniques in operator theory Doran Lubinsky (Dept Maths, Univ of the Witwatersrand, RSA) Weierstrass' theorem in the twentieth century W A J Luxemburg (Dept Maths, Caltech, USA) The diagonals of positive operators and renewal sequences Rainer Nagel (Math Inst, Univ T-bingen, Germany) Evolution equations and one-parameter semigroups of positive operators Alexander Pelczynski (Inst Maths, Polish Academy of Sciences, Poland) Sobolev spaces as Banach spaces Gilles Pisier (Equipe D'Analyse, Universite Paris VI, France) Niko Sauer (Dept Maths & Applied Maths, Univ of Pretoria, RSA) Evolution processes that walk in the shadow of semigroups Zhong-Jin Ruan (Dept Maths, Univ of Illinois, Urbana-Champaign, USA) Theory of operator spaces and their applications Local Expenses: (US$1 = R2.50) Registration Fee: Regular participants : R150 Students : R100 Transfer to conference centre in Kruger National Park: Air Transfer: R780 Microbus: R350 Entrance to Kruger National Park: R20 Accommodation per night: R70 Meals: Breakfast: R16 Lunch: R22 Dinner: R31 Registration forms and deposits for accommodation should reach the conference secretary not later than 6 January 1993. International Steering Committee: Prof R M Aron (Kent State University, Kent, USA) Prof Joe Diestel (Kent State University, Kent, USA) Prof A Pelczynski (Polish Academy of Sciences, Warsaw, Poland) Prof J G Arthur (University of Toronto, Toronto, Canada) - IMU representative Chairman of the Organising Committee: Prof J Swart (University of Pretoria) Conference secretariat The Conference Secretary : ICAA 93 Department of Mathematics and Applied Mathematics University of Pretoria 0002 PRETORIA SOUTH AFRICA Tel: (+12) 420 2520 Fax: (+12) 43 4853 E mail: wsk0007 at upvm2.up.ac.za or kharpur at scinet.up.ac.za
From banach-request at hardy.math.okstate.edu Fri Nov 13 09:32:16 1992 To: banach-dist at hardy.math.okstate.edu Subject: Abstract of a paper by A. Koldobsky Date: Fri, 13 Nov 92 9:22:18 CST From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Content-Length: 809 X-Lines: 23 Status: RO
This is the abstract of the paper " Common subspaces of $L_{p}$-spaces" by A. Koldobsky The paper is typed in TeX. The paper may be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or transmitting the command send koldobskycmsbsp.tex to: banach-files at math.okstate.edu. Abstract: For $n\geq 2, p<2$ and $q>2,$ does there exist an $n$-dimensional Banach space different from Hilbert spaces which is isometric to subspaces of both $L_{p}$ and $L_{q}$? Generalizing the construction from the paper "Zonoids whose polars are zonoids" by R.Schneider we give examples of such spaces. Moreover, for any compact subset $Q$ of $(0,\infty)\setminus \{2k, k\in N\},$ we can construct a space isometric to subspaces of $L_{q}$ for all $q\in Q$ simultaneously. This paper requires vanilla.sty
From banach-request at hardy.math.okstate.edu Tue Nov 17 10:40:43 1992 To: banach-dist at hardy.math.okstate.edu Subject: Abstract of paper by J.Farmer and W.B.Johnson Date: Tue, 17 Nov 92 10:25:14 CST From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Content-Length: 1102 X-Lines: 26 Status: RO
This is the abstract of the paper "Polynomial Schur and Polynomial Dunford-Pettis Properties " by J.Farmer and W.B.Johnson. The paper is typed in TeX. The paper may be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or transmitting the command send farmerjohnsonpoly.atx to: banach-files at math.okstate.edu. Abstract: A Banach space is {\it polynomially Schur} if sequential convergence against analytic polynomials implies norm convergence. Carne, Cole and Gamelin show that a space has this property and the Dunford-Pettis property if and only if it is Schur. Herein is defined a reasonable generalization of the Dunford--Pettis property using polynomials of a fixed homogeneity. It is shown, for example, that a Banach space will has the $P_N$ Dunford--Pettis property if and only if every weakly compact $N-$homogeneous polynomial (in the sense of Ryan) on the space is completely continuous. A certain geometric condition, involving estimates on spreading models and implied by nontrivial type, is shown to be sufficient to imply that a space is polynomially Schur.
From banach-request at hardy.math.okstate.edu Wed Nov 18 14:58:26 1992 To: banach-dist at hardy.math.okstate.edu Subject: Abstracts of two papers by J. Szulga Date: Wed, 18 Nov 92 14:47:04 CST From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Content-Length: 1573 X-Lines: 52 Status: RO
This is the abstract of the paper ``Infinite order decoupling of random chaoses in Banach space'' by Jerzy Szulga. The paper is typed in LaTeX. The paper may be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or transmitting the commands send szulgainfdec1.ltx send szulgainfdec2.ltx in separate messages to: banach-files at math.okstate.edu. Abstract: We prove a number of decoupling inequalities for nonhomogeneous random polynomials with coefficients in Banach space. Degrees of homogeneous components enter into comparison as exponents of multipliers of terms of certain Poincar\'e-type polynomials. It turns out that the fulfillment of most of types of decoupling inequalities may depend on the geometry of Banach space. -------------------------------------------- This is the abstract of the paper ``Robust decoupling of homogeneous random chaoses'' by Jerzy Szulga. The paper is typed in LaTeX. The paper may be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or transmitting the commands send szulgadechom1.ltx send szulgadechom1.ltx in separate messages to: banach-files at math.okstate.edu. Abstract: Decoupling inequalities are proved for integrable homogeneous random polynomials in independent random variables with coefficients in Banach space. Various means of comparison, including rearrangement invariant norms, tail distributions, tightness, hypercontractivity, etc, are used. So far, the tail decoupling and comparison of tightness has been known only in the Gaussian case.
From banach-request at hardy.math.okstate.edu Mon Nov 30 09:43:35 1992 To: banach-dist at hardy.math.okstate.edu Subject: Abstract of a paper by H. Konig and N. Tomczak Date: Mon, 30 Nov 92 9:27:44 CST From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Content-Length: 782 X-Lines: 22 Status: RO
This is the abstract of the paper "Norms of Minimal Projections" by H. Konig and N. Tomczak. The paper is typed in LATeX. The paper may be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or transmitting the commands send konigtomczakminproj1.ltx send konigtomczakminproj2.ltx in separate messages to: banach-files at math.okstate.edu. Abstract: It is proved that the projection constants of two- and three-dimensional spaces are bounded by $4/3$ and $(1+\sqrt 5)/2$, respectively. These bounds are attained precisely by the spaces whose unit balls are the regular hexagon and dodecahedron. In fact, a general inequality for the projection constant of a real or complex $n$-dimensional space is obtained and the question of equality therein is discussed. (Preliminary Announcement) The Department of Mathematics at the University of Missouri-Columbia announces a Conference On the Interaction Between Functional Analysis, Harmonic Analysis, and Probability. May 30- June 3, 1994 Supported by The University of Missouri Further funding will be sought from NSF The following people have tentatively agreed to speak. We are still in the process of contacting additional main speakers. An updated list will be sent later. Earl Berkson (University of Illinois) Jean Bourgain (I H E S, France) Don Burkholder (University of Illinois) Robert Fefferman (University of Chicago) William B. Johnson (Texas A&M) Peter Jones (Yale University) Gilles Pisier (University of Paris/Texas A&M) Richard Rochberg (Washington University) Michel Talagrand (University of Paris/Ohio-State University) Lior Tzafriri (Hebrew University of Jerusalem) Guido Weiss (Washington University) For Additional Information send an e-mail message to: conf at esaab.cs.missouri.edu
From banach-request at hardy.math.okstate.edu Fri Dec 4 13:30:00 1992 To: banach-dist at hardy.math.okstate.edu Subject: Abstracts of three papers by G. Pisier Date: Fri, 4 Dec 92 13:18:31 CST From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Content-Length: 3129 X-Lines: 81 Status: RO
This is the abstract of the paper "Interpolation Between $H^p$ Spaces and Non-Commutative Generalizations II" by G. Pisier. The paper is typed in TeX. The paper may be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or transmitting the command send pisierinterpolII.tex to: banach-files at math.okstate.edu. Abstract: We continue an investigation started in a preceding paper. We discuss the classical results of Carleson connecting Carleson measures with the $\d$-equation in a slightly more abstract framework than usual. We also consider a more recent result of Peter Jones which shows the existence of a solution of the $\d$-equation, which satisfies simultaneously a good $L_\i$ estimate and a good $L_1$ estimate. This appears as a special case of our main result which can be stated as follows: Let $(\Omega,\cal{A},\mu)$ be any measure space. Consider a bounded operator $u:H^1\ra L_1(\mu)$. Assume that on one hand $u$ admits an extension $u_1:L^1\ra L_1(\mu)$ bounded with norm $C_1$, and on the other hand that $u$ admits an extension $u_\i:L^\i\ra L_\i(\mu)$ bounded with norm $C_\i$. Then $u$ admits an extension $\w{u}$ which is bounded simultaneously from $L^1$ into $ L_1(\mu)$ and from $L^\i$ into $ L_\i(\mu)$ and satisfies $$\eqalign{&\|\tilde u\colon \ L_\infty \to L_\infty(\mu)\|\le CC_\infty\cr &\|\tilde u\colon \ L_1\to L_1(\mu)\|\le CC_1}$$ where $C$ is a numerical constant. --------------------------------------------------- This is the abstract of the paper "On the ``local theory'' of operator spaces" by G.Pisier. The paper is typed in TeX. The paper may be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or transmitting the command send pisierlocopsp.tex to: banach-files at math.okstate.edu. Abstract: In Banach space theory, the ``local theory'' refers to the collection of finite dimensional methods and ideas which are used to study infinite dimensional spaces (see e.g. [P4,TJ]). It is natural to try to develop an analogous theory in the recently developed category of operator spaces [BP,B1-2,BS,ER1-7,Ru]. The object of this paper is to start such a theory. We plan to present a more thorough discussion of the associated tensor norms in a future publication. --------------------------------------------------------- This is the abstract of the paper "Sur les op\'erateurs factorisables par $OH$" by G. Pisier. The paper is typed in TeX. The paper may be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or transmitting the command send pisieropfactoh.tex to: banach-files at math.okstate.edu. English Abstract: Let $H,K$ be Hilbert spaces. Let $E \subset B(H)$ and $F \subset B(K)$ be operator spaces in the sense of [1,2]. We study the operators $u : E \to F$ which admit a factorization $E \to OH \to F$ with completely bounded maps through the operator Hilbert space $OH$ which we have introduced and studied in a recent note. We give a characterization of these operators which allows to develop a theory entirely analogous to that of operators between Banach spaces which can be factored through a Hilbert space.
From banach-request at hardy.math.okstate.edu Fri Dec 4 16:03:35 1992 To: banach-dist at hardy.math.okstate.edu Subject: abstract of a paper by A. Koldobsky Date: Fri, 4 Dec 92 15:58:37 CST From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Content-Length: 594 X-Lines: 17 Status: RO
This is the abstract of the paper " Operators preserving orthogonality are isometries" by A. Koldobsky. The paper is typed in TeX. The paper may be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or transmitting the command send koldobskyortho.tex to: banach-files at math.okstate.edu. Abstract: Let $E$ be a real Banach space. For $x,y \in E,$ we follow R.James in saying that $x$ is orthogonal to $y$ if $\|x+\alpha y\|\geq \|x\|$ for every $\alpha \in R$. We prove that every operator from $E$ into itself preserving orthogonality is an isometry multiplied by a constant.
From banach-request at hardy.math.okstate.edu Wed Dec 9 10:16:02 1992 To: banach-dist at hardy.math.okstate.edu Subject: Abstracts of two papers by G. Pisier Date: Wed, 9 Dec 92 10:06:43 CST From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Content-Length: 2078 X-Lines: 58 Status: RO
This is the abstract of the paper "Multipliers and lacunary sets in non-amenable groups" by G.Pisier. The paper is typed in TeX. The paper may be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or transmitting the commands send pisiermult1.tex send pisiermult2.tex in separate messages to: banach-files at math.okstate.edu. Abstract: Let $G$ be a discrete group. Let $\lambda : G \to B(\ell_2(G),\ell_2(G))$ be the left regular representation. A function $\ph : G \to \comp$ is called a completely bounded multiplier (= Herz-Schur multiplier) if the transformation defined on the linear span $K(G)$ of $\{\lambda(x),x \in G\}$ by $$\sum_{x \in G} f(x) \lambda(x) \to \sum_{x \in G} f(x) \ph(x) \lambda(x)$$ is completely bounded (in short c.b.) on the $C^*$-algebra $C_\lambda^*(G)$ which is generated by $\lambda$ ($C_\lambda^*(G)$ is the closure of $K(G)$ in $B(\ell_2(G),\ell_2(G))$.) One of our main results gives a simple characterization of the functions $\ph$ such that $\eps \ph$ is a c.b. multiplier on $C_\lambda^*(G)$ for any bounded function $\eps$, or equivalently for any choice of signs $\eps(x) = \pm 1$. We also consider the case when this holds for ``almost all" choices of signs. ---------------------------------------------------------------------- This is the abstract of the paper "Espace de Hilbert d'op\'erateurs et Interpolation complexe" by G. Pisier. The paper is typed in TeX. The paper may be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or transmitting the command send pisierhopsp.tex to: banach-files at math.okstate.edu. Abstract: Let $H$ be an infinite dimensional Hilbert space. We show that there exists a subspace of $B(H)$ which is isometric to $\ell_2$ and completely isometric to its antidual in the sense of the theory of operator spaces recently developed by Blecher-Paulsen and Effros-Ruan. Moreover this space is unique up to a complete isometry. We denote it by $OH$. This space has several remarkable properties in particular with respect to the complex interpolation method.
From banach-request at hardy.math.okstate.edu Thu Dec 24 16:38:49 1992 To: banach-dist at hardy.math.okstate.edu Subject: Abstract of a paper by S.J. Montgomery-Smith and V.H. de la Pena Date: Thu, 24 Dec 92 16:28:15 CST From: alspach at hardy.math.okstate.edu Sender: alspach at hardy.math.okstate.edu Content-Length: 2110 X-Lines: 58 Status: RO
This is the abstract of the paper "Decoupling Inequalities for Tail Probabilities of Multilinear Forms of Symmetric and Hypercontractive Variables " by V.H.~de la Pe\~na and S.J.~Montgomery-Smith. The paper is typed in TeX. The paper may be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or transmitting the commands send montsmithpenadecoup1.tex and send montsmithpenadecoup2.tex in separate messages to: banach-files at math.okstate.edu. Abstract: In this paper we present two methods for deriving tail probability comparisons between random variables. Our first approach deals with strict tail probability comparisons, and is based on a result of Asmar and Montgomery-Smith (1992) along with extensions. We use this to show that the tail probabilities of multilinear forms of random variables are equivalent to the tail probabilities of their decoupled counterparts when the variables of interest are independent and either symmetric or hypercontractive. We also obtain a result for symmetrized multilinear forms of correlated variables as well as an extension of Levy's inequality. Our second approach deals with the extremes of the distributions. In particular, we show that if for all $t>0$ the following domination inequality is satisfied, $E\Phi _t (|X|) \le E \Phi _t (c|Y|), $ where $\Phi _t(s) = (s-1)^+/t$, then we have similar rearrangement invariant space inequalities. By considering a special case, this result implies that, $\limsup_{\lambda\to\infty} \Psi (\lambda ) P(|X| >\lambda ) \le \limsup_{\lambda\to\infty} \Psi (\lambda ) P(c_p|Y|>\lambda ), $ for a constant $c_p$ depending on $p$ only and all continuous, increasing functions $\Psi $\ such that $\Psi ( \lambda^{1\over p} )$ is convex for some $p >1$. As an application of this approach we present a new two sided decoupling inequality for a class of generalized U-statistics taking values in a separable Banach space. A.M.S.\ (1991) subject classification: 60-02, 60E15, 46E30. Key words and Phrases:\ \ Multilinear Forms, U-Statistics, Rearrangement Invariant Spaces, Decoupling, Tail Probabilities.