Messages from 1996
From banach-request at math.okstate.edu Wed Jan 17 14:06:50 1996
To: banach-dist at math.okstate.edu
Subject: Banach Workshop Announcement
Date: Wed, 17 Jan 96 13:55:47 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
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WORKSHOP IN THE GEOMETRY
OF BANACH SPACES
11,12,13 April 1996
(Thursday, Friday, Saturday)
at
Departement of Mathematics
University College London
Gower Street
London WC1E 6BT
England
This workshop is part of the "Banach space network" supported
by a
grant from the European Economic Community programme of Human Capital
and
Mobility. In addition to University College London the network includes
the
Universities of Paris VI and VII, University of Murcia, the University
of
Lancaster, the University of Mons, and the University of
Marne-La-Vallee.
Mathematicians from outside of the network are welcome to participate.
We plan to have four talks of 40 minutes each on each of the
three
mornings. The afternoons on Thursday and Friday will be devoted to
various
topic sessions.
A provisional partial list of speakers from outside of the network
includes:
Spiros Argyros
Bill Johnson
Bor-Luh Lin
Joram Lindenstrauss
Stanimir Troyanski
Vaclav Zizler
There will be no conference fee. We have reserved 60 single
rooms
in a University Hall of Residence a short walk from the College. Those
wishing to participate and/or to reserve a room are requested to send
e-mail to <banach at math.ucl.ac.uk> as soon as possible. The cost for a
single room will be approximately =A350.00 for the three nights 10th,
11th
and 12th, or =A366.00 for the four nights 10th through 13th (i.e. about
=A316.50 per night).
Some financial support for accommodation may be available for
people from outside of the network.
Organizing Committee
John Jayne Tel.+44-171-380 7322
jej at math.ucl.ac.uk
David Preiss +44-171-387 7050 ext.
2850
dp at math.ucl.ac.uk
From banach-request at math.okstate.edu Tue Jan 16 14:48:38 1996
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by G. Pisier
Date: Tue, 16 Jan 96 13:23:46 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
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<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "A polynomially bounded operator on
Hilbert space which is not similar to a contraction " by Gilles
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
begin
send pisierpolybdd.tex
end
to: banach-files at math.okstate.edu.
Abstract: Let $\eps >0$. We prove that there exists an operateur
$T_\eps:\ell_2\to\ell_2$, such that for any polynomial $P$ we have
$\|{P(T)}\| \leq(1+\eps)\|{P}\|_\infty$, but which is not similar to a
contraction, {\it i.e.} there does not exist an invertible operator
$S:\ \ell_2\to\ell_2$ such that $\|{ S^{-1}T_\eps S}\|\leq 1$. This
answers negatively a question attributed to Halmos after his well
known 1970 paper (``Ten problems in Hilbert space").
File length:34K
From banach-request at math.okstate.edu Mon Jan 22 08:50:36 1996
Date: Mon, 22 Jan 1996 08:37:20 -0600 (CST)
From: Dale Alspach <alspach at math.okstate.edu>
To: banach-dist at math.okstate.edu
Subject: Banach Workshop Announcement (fwd)
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Corrected accommodation prices:
WORKSHOP IN THE GEOMETRY
OF BANACH SPACES
11,12,13 April 1996
(Thursday, Friday, Saturday)
at
Departement of Mathematics
University College London
Gower Street
London WC1E 6BT
England
This workshop is part of the "Banach space network" supported by a
grant from the European Economic Community programme of Human Capital and
Mobility. In addition to University College London the network includes the
Universities of Paris VI and VII, University of Murcia, the University of
Lancaster, the University of Mons, and the University of Marne-La-Vallee.
Mathematicians from outside of the network are welcome to participate.
We plan to have four talks of 40 minutes each on each of the three
mornings. The afternoons on Thursday and Friday will be devoted to various
topic sessions.
A provisional partial list of speakers from outside of the network includes:
Spiros Argyros
Bill Johnson
Bor-Luh Lin
Joram Lindenstrauss
Stanimir Troyanski
Vaclav Zizler
There will be no conference fee. We have reserved 60 single rooms
in a University Hall of Residence a short walk from the College. Those
wishing to participate and/or to reserve a room are requested to send
e-mail to <banach at math.ucl.ac.uk> as soon as possible. The cost for a
single room will be approximately 50.00 English pounds for the three nights
10th, 11th and 12th, or 66.00 English pounds for the four nights 10th
through 13th (i.e. about 16.50 English pounds per night).
Some financial support for accommodation may be available for
people from outside of the network.
Organizing Committee
John Jayne Tel.+44-171-380 7322
jej at math.ucl.ac.uk
David Preiss +44-171-387 7050 ext. 2850
dp at math.ucl.ac.uk
From banach-request at math.okstate.edu Wed Jan 24 14:07:40 1996
To: banach-dist at math.okstate.edu
Subject: Job oportunity at Kent State East Liverpool
Date: Wed, 24 Jan 96 13:50:53 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
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Status: RO
The Kent State University Regional Campuses invite applications
for a position in mathematics at the East Liverpool Campus. This
position is a tenure-track appointment at the Assistant Professor
rank requiring a Ph.D. and teaching experience with evidence of
scholarship established. Salary is competitive and the fringe
benefits package is excellent. Application deadline is
February 15, 1996. To apply, please submit vita, transcripts,
and the names and addresses of three references to:
Suzanne B. Fitzgerald, Dean
Kent State University East Liverpool Campus
400 East 4th Street
East Liverpool, OH 43920.
From banach-request at math.okstate.edu Fri Jan 26 19:05:17 1996
Date: Fri, 26 Jan 1996 18:59:21 -0600 (CST)
From: Dale Alspach <alspach at math.okstate.edu>
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by V. Ferenczi
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This is the abstract of the paper "Q.H.I. spaces" by V.Ferenczi.
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
begin
send ferencziqhi.ltx
end
to: banach-files at math.okstate.edu.
Abstract:A Banach space $X$ is said to be Q.H.I. if eve\-ry infinite
dimensional quo\-tient spa\-ce of $X$ is H.I.: that is,
a space is Q.H.I. if the H.I. property is not only
stable passing to subspaces, but also passing
to quotients and to the dual.
We show that Gowers-Maurey's space is Q.H.I.; then we
provide an example
of a reflexive H.I. space ${\cal X}$
whose dual is not H.I., from which it follows
that $\cal X$ is not Q.H.I.
File length:56K
From banach-request at math.okstate.edu Fri Feb 23 16:03:17 1996
Date: Fri, 23 Feb 1996 15:52:43 -0600 (CST)
From: Dale Alspach <alspach at math.okstate.edu>
To: banach-dist at math.okstate.edu
Subject: 3rd International Competition for Univ. Students (fwd)
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THIRD INTERNATIONAL COMPETITION
FOR UNIVERSITY STUDENTS
IN MATHEMATICS
Plovdiv, Bulgaria
31 July - 5 August 1996
FIRST COMMUNICATION
The aim of the competition is to compare undergraduate education
levels in different European universities and provide an opportunity for
university students of mathematics from across Europe to meet one another.
This year's competition is being jointly organized by Sofia
University and University College London. It will take place in Plovdiv,
Bulgaria from the 31st of July to the 5th of August, 1996. Every University
is invited to send several students and one teacher. The competition is
planned for students completing their first, second, third or fourth year
of education and will consist of 2 Sessions of 4-5 hours each. Problems
will be from the fields of Algebra and Analysis (Real and Complex). The
working language will be English.
Please inform us of Organizations or Institutions that may be able
to provide financial support for participants. For additional information,
please do not hesitate to contact us.
In Sofia: In London:
Dr. M. Takev Prof. J.E. Jayne
Department of Mathematics and Informatics Department of Mathematics
University of Sofia "St. Kliment Ohridski" University College London
5 James Bourchier Blvd. Gower Street
1126 Sofia London WC1E 6BT
Bulgaria England
e-mail Takev at bgearn.bitnet e-mail jej at math.ucl.ac.uk
Tel. +44 171 380 7322
TIMETABLE
July 31 -- arrival
August 1 -- meeting of the Jury
August 2 -- first session
August 3 -- second session
August 4 -- announcement of the results and official dinner
August 5 -- departure
TEAMS
Although this is not strictly speaking a team event, the Bulgarian
Universities traditionally divide their participants into teams of four
each. For example, Sofia University may have three teams of four students
each. The number of students in the teams is, however, not fixed. The
professor that accompanies the students, is expected to be a member of the
Jury. In the last two competitions we have had teams from universities in
Bulgaria, the Czech Republic, England, France, Greece, Moldova, Slovenia,
Spain and Russia.
SELECTION OF THE PROBLEMS
The problems will be chosen from those presented at the Meeting of
the Jury on August 1, or received in advance by the President of the Jury,
Prof. John Jayne. The problems proposed should be precisely formulated and
accompanied by a detailed solution.
The problems should be in fields of Algebra and Analysis (Real and
Complex). The problems given at the First and Second Competitions are
available on request to give a general idea, but additional topics may be
also included.
EVALUATION
The students' work will be evaluated by Professors and Assistant
Professors from Bulgaria using criteria provided by the Jury.
ARRIVAL
Participants are asked to provide detailed information about their
arrival in Bulgaria at least 3 weeks in advance. The organizers will meet
them at the relevant airport or railway station and will arrange
transportation to Plovdiv.
VISAS
The participants from some countries will need a visa to enter
Bulgaria. The fee is usually, but not always, lower if the visit is a part
of educational or scientific program. Please, contact your travel agent or
the Bulgarian Consulate in your country for details. If necessary, the
organizers will post formal invitations for participation in the
Competition.
LOCAL EXPENSES
The living expenses (room, board and local transportation) for the
whole period will be approximately US Dollars 150 per person.
TEMPUS
The Competition is supported in part by Tempus-Phare Grant No.
JEP-01980BG-94.
The following universities are a part of this TEMPUS contract and
the local expenses of their participants will be covered from the grant:
University of Athens, Athens
Sofia University 'St. Kliment Ohridski', Sofia
Universit=E9 Pierre et Marie Curie (Paris VI), Paris
Universit=E9 de Franche-Comt=E9 (Besan=E7on), Besancon
Universit=E0 degli studi di Trieste, Trieste
Universidad de Zaragoza, Zaragoza
University of the Aegean -- Samos, Samos
Higher Pedagogical Institute 'Konstantin Preslavski', Shoumen
University of Plovdiv 'Paisii Hilendarski', Plovdiv
FINANCIAL SUPPORT
The organizers are applying for additional financial support. To
increase the chances of getting this support we would appreciate an
official letter from each university intending to participate declaring
their intention to take part in the Competition. Please sent this letter to
the following address:
Prof. Peter Binev
Faculty of Mathematics and Informatics
Sofia University 'St. Kliment Ohridski'
5 James Bourchier Blvd.
1126 Sofia
Bulgaria
COMMUNICATIONS
It is quickest to contact us by e-mail.
M. Takev: takev at bgearn.acad.bg
Peter Binev: binev at ipx.fmi.uni-sofia.bg
John Jayne: jej at math.ucl.ac.uk
Yours sincerely,
John Jayne
From banach-request at math.okstate.edu Fri Feb 16 12:36:25 1996
Date: Fri, 16 Feb 1996 12:27:37 -0600 (CST)
From: Dale Alspach <alspach at math.okstate.edu>
To: banach-dist at math.okstate.edu
Subject: NATO Advanced Study Institute (fwd)
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The following information might be of interest to people working
in the theory of Banach spaces who have seen arguments using the
Banach space ultraproduct construction and want to find out more about
how these methods can be used in analysis.
I am one of the organizers of a NATO Advanced Study Institute on
Nonstandard Analysis and its Applications which will be held in
Edinburgh during July 1-12, 1996. This is an excellent opportunity
for young mathematicians (advanced graduate students and recent PhDs)
to learn about this subject; lectures, tutorials, and group
discussions will take participants from the foundations of NSA to the
research frontiers in the directions that are currently most
successful.
There are still some places available in this ASI, and we will take
applications at least to the end of February. If you know of an
advanced graduate student or a recent PhD who might be interested in
this apportunity, I ask that you give them the enclosed information.
Note that most of the cost of the ASI can be rebated in the form of a
stipend (for participants from NATO countries and from NATO
Cooperation Partners). Moreover, for USA citizens and permanent
residents, there is the possibility of a $1,000 travel grant. (Grants
are made by the US National Science Foundation on nomination by the
organizers.) Applicants who want to be considered for these forms of
financial support should read the materials below and fill out the
appropriate sections of the application form.
Thank you for your help in circulating the information about this
Advanced Study Institute.
Ward Henson, University of Illinois
********************************
NATO ADVANCED STUDY INSTITUTE on NONSTANDARD ANALYSIS AND ITS
APPLICATIONS
Edinburgh, 1-12 July 1996
This message contains
1. Further information about the ASI
2. An application form
Please note that the deadline for applications is advanced to February
29, 1996. Applications can be sent by email and they are available
online at the WWW sites mentioned below.
***************
1. Further information
ORGANISERS
N.J.Cutland (Hull), Director L.Arkeryd (Goteborg) C.W.Henson (Illinois)
AIMS
The aim of the Institute is to present an exposition of the techniques
of modern Nonstandard Analysis (NSA) and its Applications, including
current developments, to enable research mathematicians in all fields
to use this methodology in their own work. No previous knowledge of
NSA will be assumed. The format will be lectures together with
tutorial and discussion sessions.
The ASI is aimed at research mathematicians at the postdoctoral level
and beyond, but will be accessible to good research students. Because
of its advanced instructional nature, there will be no contributed
papers, but participants will be encouraged to explore ways in which
NSA might be applicable in their own research work, and informal
sessions will be arranged to allow this. It will be appropriate for
participants to give presentations in this context.
The ASI is open to participants from non-NATO countries although
numbers may be restricted. Financial support will only be available
to participants from NATO and NATO Cooperation Partner countries - see
below.
PROGRAMME
There will be courses and tutorial sessions covering:
Foundations of nonstandard analysis and nonstandard models
Nonstandard real analysis
Topological applications
Loeb measure theory
Applications in probability and stochastic analysis
Functional analysis
Differential equations (ODEs, PDEs, SDEs and SPDEs)
Applications in mathematical physics
Applications in mathematical finance theory
LECTURERS
L.Arkeryd (Goteborg) E.Benoit (Valbonne)
M.Capinski (Krakow) N.J.Cutland (Hull)
C.W.Henson (Illinois) R.Jin (Rutgers)
H.J.Keisler (Wisconsin) P.E.Kopp (Hull)
T.Lindstrom (Oslo) P.A.Loeb (Illinois)
D.A.Ross (Hawaii) M.Wolff (Tubingen)
DATES
Arrival Sunday 30 June; departure Saturday 13th July
Lectures will take place from Monday 1st July to Friday 5th July, and
from Monday 8th July to Friday 12th July.
The weekend 6th/7th July is free; some social activities or excursions
may be planned.
Participants admitted to the ASI are required to attend for the whole
of the period 1st-12th July.
LOCATION
The ASI will be held at the University of Edinburgh, hosted by the
International Centre for Mathematical Sciences (ICMS). Lectures will
take place in the James Clerk Maxwell Building. Participants will be
accommodated in the Pollock Halls of Residence.
COST
The total cost for the entire ASI including full board in standard
accommodation, lecture notes and a copy of the published proceedings
will be at most 425 pounds sterling. For an extra charge de luxe
accommodation can be provided. There will be a small additional
registration fee for participants from industry and commerce.
APPLICATIONS
NATO regulations restrict the number of participants to a maximum of
80. It is essential that those wishing to participate complete all
sections of the application form below. Participants will be selected
by the organisers, taking into account their mathematical background
and ability to benefit from the ASI, and in accordance with the NATO
rules for participation. All applicants must arrange for two referees
to provide a statement in support of their application.
Applicants who are selected for participation will be expected to pay
a deposit of 50 pounds sterling to confirm their acceptance of the
offer of a place on the ASI.
FINANCIAL SUPPORT
Successful applicants from NATO and NATO Cooperation Partner countries
will be eligible for financial support up to the balance of the total
cost after the deposit has been paid (i.e. 375 pounds).
NATO countries are: Belgium, Canada, Denmark, France, Germany, Greece,
Iceland, Italy, Luxembourg, Netherlands, Norway, Portugal, Spain,
Turkey, United Kingdom, United States.
NATO Cooperation Partner countries are: Albania, Armenia, Azerbaijan,
Belarus, Bulgaria, Czech Republic, Estonia, Georgia, Hungary,
Kazakhstan, Kyrgyzstan, Latvia, Lithuania, Moldova, Poland, Romania,
Russia, Slovak Republic, Tajikstan, Turkmenistan, Ukraine, Uzbekistan.
Participants from Greece, Portugal, Turkey and USA may apply for
special travel grants that have been made available for students from
these countries. A limited number of travel grants may be available
for other students.
CLOSING DATE FOR APPLICATIONS: advanced to February 29, 1996
Completed application forms should be sent to:
E-mail: icms-conf at maths.ed.ac.uk
FAX: (+44)-(0)131-220-1053
Mail: ICMS (NATO ASI), 14 India Street, Edinburgh, EH3 6EZ
Further information can be obtained form the above addresses.
The application form below can also be accessed on the WWW sites:
http://www.hull.ac.uk/Hull/MA_Web/Hull/natnsa1.htm/
http://www.ma.hw.ac.uk/icms/
which also have information about Edinburgh and the ICMS.
_________________________________________________________________
APPLICATION FORM - NATO ASI on NONSTANDARD ANALYSIS AND ITS
APPLICATIONS
EDINBURGH 1-12 July 1996
Last name:
First name(s):
Nationality:
Affiliation (University, Institute etc):
Mailing address:
E-mail address:
Telephone:
FAX:
Present position:
Brief CV beginning with higher education, and including research
experience and current research interests; include selected publications
where appropriate:
Please indicate why you are interested in this ASI and how you expect to
benefit from it:
Any other information you think may be relevant to assist the Organisers
when selecting participants:
PLEASE ARRANGE FOR TWO REFEREES TO SEND LETTERS OF RECOMMENDATION
DIRECT TO THE ADDRESS BELOW, BY REGULAR MAIL, E-MAIL OR FAX.
APPLICATIONS THAT ARE NOT SUPPORTED IN THIS WAY WILL NOT BE
CONSIDERED.
Names and addresses (mail and e-mail) of the referees you have asked:
1.
2.
REQUEST FOR FINANCIAL SUPPORT
(Only for NATO and NATO Cooperation Partner countries)
If selected to participate in the ASI I should like to request financial
support for the ASI expenses up to ........... pounds (please specify;
maximum 375 pounds)
(For applicants from Greece, Portugal, Turkey and USA only)
If selected for the ASI I should like to be considered for a travel grant
towards the cost of travel to Edinburgh from ....................
PLEASE SEND THE COMPLETED APPLICATION TO THE FOLLOWING ADDRESS EITHER
BY E-MAIL, FAX or MAIL.
E-mail: icms-conf at maths.ed.ac.uk
FAX: (+44)-(0)131-220-1053).
Mail: ICMS (NATO ASI), 14 India Street, Edinburgh, EH3 6EZ
From banach-request at math.okstate.edu Sun Feb 18 20:06:04 1996
Date: Sun, 18 Feb 1996 19:57:17 -0600 (CST)
From: Dale Alspach <alspach at math.okstate.edu>
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by P. Casazza and N. Nielsen
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This is the abstract of the paper "A Gaussian Average Property for Banach
Spaces" by P.G. Casazza and N.J. Nielsen.
by. The paper is typed in LATeX2e. The paper may be downloaded
from the bulletin board by ftp to ftp.math.okstate.edu
or transmitting the commands
begin
send casazzanielsengavg.ltxA
end
to: banach-files at math.okstate.edu.
Abstract:In this paper we investigate a Gaussian average property of Banach
spaces. This property is weaker than the Gordon Lewis property but
closely related to this and other unconditional structures. It is also
shown that this property implies that certain Hilbert space valued
operators defined on subspaces of the given space can be extended.
File length:45K
From banach-request at math.okstate.edu Mon Mar 11 13:23:43 1996
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by L. Labuschagne and V. Mascioni
Date: Mon, 11 Mar 96 13:12:44 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
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<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "Linear maps between C*-algebras
whose adjoints preserve extreme points of the dual ball" by Louis E.
Labuschagne and Vania Mascioni. 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
begin
send labuschagnemascionilinmps.ltx
end
to: banach-files at math.okstate.edu.
Abstract:We give a structural characterisation of linear operators from
one $C^\ast$%
-algebra into another whose adjoints map extreme points of the dual
ball
onto extreme points. We show that up to a $\ast$-isomorphism, such a
map
admits of a decomposition into a degenerate and a non-degenerate part,
the
non-degenerate part of which appears as a Jordan $\ast$-morphism
followed
by a ``rotation'' and then a reduction. In the case of maps whose
adjoints
preserve pure states, the degenerate part does not appear, and the
``rotation'' is but the identity. In this context the results
concerning
such pure state preserving maps depend on and complof St\o rmer [St\o
2; 5.6 \& 5.7]. In conclusion we consider the action of maps with
``extreme
point preserving'' adjoints on some specific $C^\ast$-algebras.
File length:103K
From banach-request at math.okstate.edu Thu Mar 7 12:32:47 1996
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by G. Pisier
Date: Thu, 7 Mar 96 12:08:36 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
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BANACH-DIST.>>>>>>>>>>>
This is the abstract of the revised version of the paper "A
polynomially bounded operator on Hilbert space which is not similar to
a contraction" by Gilles 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
begin
send pisierpolybdd.tex
end
to: banach-files at math.okstate.edu.
Abstract: Let $\eps >0$. We prove that there
exists an operator $T_\eps:\ell_2\to\ell_2$, such that for any
polynomial $P$ we have $\|{P(T)}\| \leq(1+\eps)\|{P}\|_\infty$, but
which is not similar to a contraction, {\it i.e.} there does not exist
an invertible operator $S:\ \ell_2\to\ell_2$ such that $\|{S^{-1}T_\eps
S}\|\leq 1$. This answers negatively a question attributed to Halmos
after his well known 1970 paper (``Ten problems in Hilbert space").
(latest revision 27th of February 1996)
File length:66K
From banach-request at math.okstate.edu Tue Jan 30 11:43:43 1996
Date: Tue, 30 Jan 1996 11:31:21 -0600 (CST)
From: Dale Alspach <alspach at math.okstate.edu>
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by P. Mueller
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This is the abstract of the paper "Rearrangements of the Haar system
which preserve $\BMO$" by Paul M\"uller. 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
begin
send muellerhaarbmo.ltx
end
to: banach-files at math.okstate.edu.
Abstract: In this paper general rearrangements of the Haar
system in BMO are considered. Several,
necessary and suficient, conditions for the boundednes
of the induced permutation operator are given. Using analytic
families of operators extensions to the case of $L^p$ are obtained .
File length:47K
From banach-request at math.okstate.edu Wed Mar 13 10:44:43 1996
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by D. Leung
Date: Wed, 13 Mar 96 10:29:01 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
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<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "Property $\text{(u)}$ in
$JH\tilde{\otimes}_\epsilon JH$" by Denny Leung. 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 commands
begin
send leungJHxJH.ltx
end
to: banach-files at math.okstate.edu.
Abstract:It is shown that the tensor product $JH\epten JH$ fails
Pe\l cz\'{n}yski's property (u). The proof uses a result of
Kwapie\'{n}
and Pe\l cz\'{n}yski on the main triangle projection in matrix spaces.
File length:14K
From banach-request at math.okstate.edu Mon Mar 18 12:04:07 1996
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by Y.Gordon, S. Reisner, and C. Schutt
Date: Mon, 18 Mar 96 11:42:45 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 776
X-Lines: 31
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "Umbrellas and polytopal
approximation of the euclidean ball" by Yehoram Gordon, Shlomo Reisner,
and Carsten Sch\"utt. 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
begin
send gordonreisnerschuttumbrl.atx
end
to: banach-files at math.okstate.edu.
Abstract:There are two positive, absolute constants $c_{1}$ and $c_{2}$
so that
the volume of the difference set of the $d$-dimensional Euclidean
ball and an inscribed polytope with n vertices is larger than
$$
c_{2}\ d\ {n}^{-\frac{2}{d-1}}vol_d(B^d_2)
$$
for $n \geq (c_{1}\ d)^{\frac{d-1}{2}}$.
File length:28K
From banach-request at math.okstate.edu Thu Mar 21 14:10:33 1996
To: banach-dist at math.okstate.edu
Subject: Spring School on Functional Analysis - Paseky
Date: Thu, 21 Mar 96 13:47:54 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 3304
X-Lines: 140
Status: RO
Spring School 96 -- Functional Analysis
Last Announcement
Dear Colleague,
We are very pleased to learn that you are interested in the
Spring School on Functional Analysis, which will be organized by
the Faculty of Mathematics and Physics, Charles University, Prague.
The Spring School will be held at Paseky, April 21-27, 1996.
The village Paseky lies in the slopes of the Krkonose Mountains,
in the North Bohemia. Lodging is in two or three bed rooms
in a chalet. There are excellent conditions for sport activities:
walking trips in the immediate surroudings, mini-golf and sauna.
Wearing of slippers in the chalet is absolutely necessary!
The program will consist of the following series of lectures:
Sequences in Banach Spaces
delivered by
Joe Diestel
Kent State University, Ohio, U.S.A.
Summing Operators and Some New Relatives
delivered by:
Hans Jarchow
Institut fur Mathematik, Universitat Zurich
Infinite dimensional function theory
delivered by:
Richard Aron
Kent State University, Ohio, U.S.A.
There will be also lectures on Coanalytic sets in Functional
Analysis by Gilles Godefroy (University of Paris VI)
and on Eberlein compacts and smooth norms by
Vaclav Zizler (University of Alberta, Edmonton).
Moreover, it is not supposed to fill all the time by lectures;
many informal discussions in a fruitful working atmosphere are
expected.
The conference fee is $ 260,- (or an equivalent). Reduced rate of
$ 230,- applies provided the registration form reached organizers
before February 29, 1996. The conference fee includes all local
expenses
(board and lodging) and transport between Prague and Paseky.
For the accompanying persons the conference fee is the same.
The payment of the fee will be done at the registration desk
at Paseky by cash, or it may be remitted by a bank transfer to
Komercni banka, Praha 1, Vaclavske nam. 42,
account No. 38330--021/0100, v.s. 810
(a copy of the transfer should be presented at the
registration desk at Paseky).
Unfortunately, cheques cannot be used and will not be accepted.
A special bus from Prague to Paseky and back is booked
for the beginning and for the end of the Spring School.
The bus from Prague will depart April 21, 1996 at 4 p. m. from Prague.
All participants are to meet at vestibule of metro
station Krizikova (station of line B). To get there from the airport,
take bus No 119 to the metro terminal Dejvicka, then take line A
to Mustek and change the line. From the railway station take metro C
and B to Krizikova.
Bus from Paseky will depart April 27, at 9 a. m. and will be getting
to Prague at 11.30 a. m.
In case of any difficulty you should contact the organizers.
Up-to-date information can be found on URL:
http://www.karlin.mff.cuni.cz/veda/akce/ss96/ss96.html
We are looking forward to meeting you in Czech Republic.
Jaroslav Lukes, Jiri Kottas
Mailing address:
Katedra matematicke analyzy
Matematicko-fyzikalni fakulta UK
Sokolovska 83, 186 00 Praha 8
Czech Republic
Phone/Fax: 42 -- 2 -- 232 3390
E-mail: kottas at karlin.mff.cuni.cz
Please, confirm your participation in a short note!
(e.g. by e-mail or fax.)
We are using this means of communication and we hope that it will not
be
inconvenient for you.
From banach-request at math.okstate.edu Sat Mar 23 21:38:04 1996
Date: Sat, 23 Mar 1996 21:26:49 -0600 (CST)
From: Dale Alspach <alspach at math.okstate.edu>
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by A. Koldobsky
MIME-Version: 1.0
Status: RO
X-Status:
X-Lines: 40
Content-Type: TEXT/PLAIN; charset="US-ASCII"
Content-Length: 1349
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "A correlation inequality for the
expectations of norms of stable vectors" by Alexander Koldobsky. 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
begin
send koldobskycorineq.atx
end
to: banach-files at math.okstate.edu.
Abstract: For $0<q\le 2,\ 1\le k < n,$ let
$X=(X_1,...,X_n)$ and $Y=(Y_1,...,Y_n)$ be symmetric
$q$-stable random vectors so that the joint distributions of
$X_1,...,X_k$ and $X_{k+1},...,X_n$ are equal to the joint
distributions of $Y_1,...,Y_k$ and $Y_{k+1},...,Y_n,$ respectively,
but $Y_i$ and $Y_j$ are independent for every
$1\le i \le k,\ k+1\le j \le n.$
We prove that $\Bbb E (f(X)) \ge \Bbb E (f(Y))$
where $f$ is any continuous, positive, homogeneous of the order
$p\in (-n,0)$ function on $\Bbb R^n\setminus \{0\}$
such that $f$ is a positive definite distribution in $\Bbb R^n,$
and $f(u,v)=f(u,-v)$ for every $u\in \Bbb R^k,\ v\in \Bbb R^{n-k}.$
As a particular case, we show that
$$\Bbb E\ (\max_{i=1,...,n} |X_i|)^p \ge
\Bbb E\ (\max_{i=1,...,n} |Y_i|)^p$$
for every $p\in (-n,-n+1).$ The latter inequality is
related to Slepian's Lemma and to the Gaussian correlation
problem.
File length:27K
From banach-request at math.okstate.edu Mon Apr 8 14:11:02 1996
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by D. Alspach
Date: Mon, 8 Apr 96 13:58:43 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 958
X-Lines: 31
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "Tensor products and independent sums
of $\Cal L_p$-spaces, $1<p<\infty$" by Dale 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 commands
begin
send atx
end
to: banach-files at math.okstate.edu.
Abstract:Two methods of constructing infinitely many isomorphically
distinct $\Cal L_p$-spaces have been published. In this article we show
that these constructions yield very different spaces and in the process
develop
methods for dealing with these spaces from the isomorphic viewpoint. We
use these methods to give a complete isomorphic classification of the
spaces $R_p^\alpha$ constructed by Bourgain, Rosenthal, and Schechtman
and
to show that $X_p\otimes X_p$ is not isomorphic to a complemented
subspace
of any $R_p^\alpha.$
File length:202K
From banach-request at math.okstate.edu Tue Apr 9 12:21:47 1996
To: banach-dist at math.okstate.edu
Subject: Graduate fellowships at U. Missouri
Date: Tue, 9 Apr 96 12:13:49 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1876
X-Lines: 54
Status: RO
============================================================================
Subject: Graduate Fellowships in Mathematics
Please forward this to your undergraduate seniors in mathematics
or any person who might be interested in the announcement below.
Thanks.
Elias Saab
====================================================================
GRADUATE FELLOWSHIPS IN MATHEMATICS
UNIVERSITY OF MISSOURI-COLUMBIA
FOR FALL 1996
====================================================================
The Department of Mathematics at the University of Missouri,
Columbia, announces several Teaching and Research
Fellowships starting Fall 1996 for new graduate students.
1) The research fellowships carry a yearly
stipend of $12,500 and require no teaching.
They are not renewable beyond the first year.
In the second year the student will receive a regular teaching
assistant
stipend and will be required to teach two three-hour courses each
semester.
2) The teaching fellowships carry a yearly stipend of $15,000
and require teaching one three-hour course per semester.
They are renewable for one additional year.
In the third year the student will receive a regular teaching assistant
stipend and will be required to teach two three-hour courses each
semester.
All fellowships provide a tuition waiver
and summer support is additional.
The Department of Mathematics offers Masters and Ph.D. degrees
in Pure and Applied Mathematics.
The University of Missouri at Columbia, the most comprehensive
campus of the University of Missouri, is located midway between
Saint Louis and Kansas City.
For more information and to apply,
please contact:
Professor Nakhle Asmar
E-Mail Address:
nakhle at asmar.math.missouri.edu
For more information about our graduate prrogram visit:
http://math.missouri.edu/curr/grad/
Department Phone Number 573-882-6221 Fax 573-882-1869
From banach-request at math.okstate.edu Mon Apr 22 10:06:51 1996
To: banach-dist at math.okstate.edu
Subject: Changes
Date: Mon, 22 Apr 96 9:55:08 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 856
Status: RO
X-Lines: 18
There are some changes being made in the Banach space bulletin board.
1. To comply with mime standards mime file extensions will be used. For
TeX files there are only two types .tex and .latex. For ordinary text
files the extension will be .txt. This will help web browsers to
correctly identify the file types. All AMSTeX files will be designated
as .tex so they should contain the line to input AMSTeX.
2. Each new TeX file contains a special header. This header provides
the basic information about the paper and will be used to automatically
generate mail messages, index files, etc. The instructions and header
are in the file paperhead.txt. Please add the header to any TeX file
that you want posted on the bulletin board.
Forthcoming changes: new email access software and web pages. These
will be described when then come online.
Dale Alspach
From banach-request at math.okstate.edu Thu Apr 25 09:19:08 1996
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by Frank Oertel
Date: Thu, 25 Apr 96 9:05:13 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 616
X-Lines: 21
Status: RO
This is the abstract of the paper "Operators with extension property
and the principle of local reflexivity " by Frank Oertel. The paper
is typed in LaTeX2.09. The paper may be downloaded from the bulletin
board by ftp to ftp.math.okstate.edu or transmitting the commands
begin
send oertelopxtprp.latex
end
to: banach-files at math.okstate.edu.
Abstract:Given an arbitrary $p$-Banach ideal $(0 < p \leq 1)$, we ask
for geometrical properties of this ideal which are sufficient (and
necessary) to allow a transfer of the principle of local reflexivity to
this operator class.
File Length: 37079 bytes
From banach-request at math.okstate.edu Thu Apr 25 12:06:10 1996
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by Frank Oertel
Date: Thu, 25 Apr 96 9:32:02 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1001
Status: RO
X-Status:
X-Lines: 27
This is the abstract of the paper "Composition of operator ideals and
their regular hulls " by Frank Oertel. The paper is typed in LaTeX2.09
. The paper may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the commands
begin
send oertelcmpopidl.latex
end
to: banach-files at math.okstate.edu.
Abstract:Given two quasi-Banach ideals \oid{A}{}{} and \oid{B}{}{} we
investigate the regular hull of their composition - $(\oid{A}{}{} \circ
\oid{B}{}{})^{reg}$. In concrete situations this regular hull appears
more often than the composition itself. As a first example we obtain a
description for the regular hull of the nuclear operators which is a
"reflected" Grothendieck representation:\\ $\oid{N}{}{reg}
\stackrel{1}{=} \oid{I}{}{} \circ \oid{W}{}{}$ (theorem 2.1). Further
we recognize that the class of such ideals leads to interesting
relations concerning the question of the accessibility of (injective)
operator ideals.
File Length: 18235 bytes
From banach-request at math.okstate.edu Fri Apr 26 09:43:54 1996
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by Frank Oertel
Date: Fri, 26 Apr 96 9:31:36 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1695
Status: RO
X-Status:
X-Lines: 37
This is the abstract of the paper "Local properties of accessible
injective operator ideals" by Frank Oertel. The paper is typed in
LaTeX2.09. The paper may be downloaded from the bulletin board by ftp
to ftp.math.okstate.edu or transmitting the commands
begin
send oertelacsblopidl.latex
end
to: banach-files at math.okstate.edu.
Abstract:In addition to Pisier's counterexample of a non-accessible
maximal Banach ideal, we will give a large class of maximal Banach
ideals which {\it{are accessible}}. The first step is implied by the
observation that a "good behaviour" of trace duality, which is
canonically induced by conjugate operator ideals can be extended to
adjoint Banach ideals, if and only if these adjoint ideals satisfy an
accessibility condition (theorem 3.1). This observation leads in a
natural way to a characterization of accessible injective Banach
ideals, where we also recognize the appearance of the ideal of
{\it{absolutely summing operators}} (prop. 4.1). By the famous
{\it{Grothendieck inequality}}, every operator from $L_1$ to a Hilbert
space is absolutely summing, and therefore our search for such ideals
will be directed towards Hilbert space factorization - via an operator
version of Grothendieck's inequality (lemma 4.2). As a consequence,we
obtain a class of injective ideals, which are "quasi-accessible", and
with the help of {\it{tensor stability}}, we improve the corresponding
norm inequalities, to get accessibility (theorem 4.1 and 4.2). In the
last chapter of this paper we give applications, which are implied by a
non-trivial link of the above mentioned considerations to normed
products of operator ideals.
File Length: 57438 bytes
From banach-request at math.okstate.edu Mon Apr 22 16:02:41 1996
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by G. Androulakis and E. Odell
Date: Mon, 22 Apr 96 16:00:04 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 928
Status: RO
X-Status:
X-Lines: 27
This is the abstract of the paper "Distorting Mixed Tsirelson Spaces"
by G. Androulakis and E. Odell. The paper is typed in LaTeX2.09. The
paper may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the commands
begin
send androulakisodellmxdtsrlsn.latex
end
to: banach-files at math.okstate.edu.
Abstract: Any regular mixed Tsirelson space $T(\theta_n,S_n)_{\N}$
for which $\frac{ \theta_n}{\theta^n} \rightarrow 0$, where
$\theta=\lim_n \theta_n^{1/n}$, is shown to be arbitrarily
distortable.
Certain asymptotic $\ell_1$ constants for those and other mixed
Tsirelson spaces are calculated. Also a combinatorial result on the
Schreier families $(S_{\alpha})_{\alpha < \omega_1}$ is proved and an
application is given to show that for every Banach space $X$ with a
basis $(e_i)$, the two $\Delta$-spectrums $\Delta(X)$ and
$\Delta(X,(e_i))$ coincide.
File Length: 80522 bytes
From banach-request at math.okstate.edu Mon Apr 22 17:04:52 1996
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by E. Odell and Th. Schlumprecht
Date: Mon, 22 Apr 96 16:16:21 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 572
Status: RO
X-Status:
X-Lines: 21
This is the abstract of the paper "A Banach space block finitely
universal for monotone bases" by E. Odell and Th. Schlumprecht. 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
begin
send odellschlumpblkunvrsl.tex
end
to: banach-files at math.okstate.edu.
Abstract:A reflexive Banach space $X$ with a basis $(e_i)$ is
constructed having the property that every monotone basis is block
finitely representable in each block basis of $X$.
File Length: 80691 bytes
From banach-request at math.okstate.edu Mon Apr 22 12:25:05 1996
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by R. Judd and E. Odell
Date: Mon, 22 Apr 96 11:18:09 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 898
X-Status:
X-Lines: 31
Status: RO
This is the abstract of the paper "Concerning the Bourgain $ell_1$
index of a Banach space" by R. Judd and E. Odell.
The paper is typed in LaTeX2.09. The paper may be downloaded
from the bulletin board by ftp to ftp.math.okstate.edu
or transmitting the commands
begin
send juddodellbrgnl1.latex
end
to: banach-files at math.okstate.edu.
Abstract:
A well known argument of James yields that if a Banach space $X$
contains
$\ell_1^n$'s uniformly then $X$ contains $\ell_1^n$'s almost
isometrically.
In the first half of the paper we extend this idea to the ordinal
$\ell_1$-indices of Bourgain. In the second half we use our results to
calculate the $\ell_1$-index of certain Banach spaces. Furthermore we
show
that the $\ell_1$-index of a separable Banach space not containing
$\ell_1$
must be of the form $\omega^{\alpha}$ for some countable ordinal \al.
File Length: 78086 bytes
From banach-request at math.okstate.edu Mon Apr 22 14:40:06 1996
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by Edward Odell, Nicole Tomczak-Jaegermann, and Roy Wagner
Date: Mon, 22 Apr 96 14:31:59 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1278
Status: RO
X-Status:
X-Lines: 31
This is the abstract of the paper "Proximity to $\ell_1$ and Distortion
in Asymptotic $\ell_1$ Spaces" by Edward Odell, Nicole
Tomczak-Jaegermann, and Roy Wagner. The paper is typed in LaTeX2e. The
paper may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the commands
begin
send odelltomczakwagnerprxdsrtl1.latex
end
to: banach-files at math.okstate.edu.
Abstract:For an asymptotic $\ell_1$ space $X$ with a basis $(x_i)$
certain asymptotic $\ell_1$ constants, $\delta_\alpha (X)$ are defined
for $\alpha <\omega_1$. $\delta_\alpha (X)$ measures the equivalence
between all normalized block bases $(y_i)_{i=1}^k$ of $(x_i)$ which are
$S_\alpha$-admissible with respect to $(x_i)$ ($S_\alpha$ is the
$\alpha^{th}$-Schreier class of sets) and the unit vector basis of
$\ell_1^k$. This leads to the concept of the delta spectrum of $X$,
$\Delta (X)$, which reflects the behavior of stabilized limits of
$\delta_\alpha (X)$. The analogues of these constants under all
renormings of $X$ are also defined and studied. We investigate
$\Delta (X)$ both in general and for spaces of bounded distortion. We
also prove several results on distorting the classical Tsirelson's
space $T$ and its relatives.
File Length: 139449 bytes
From banach-request at math.okstate.edu Mon Apr 8 15:38:48 1996
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by S.J. Dilworth and Maria Girardi
Date: Mon, 8 Apr 96 14:58:43 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1161
Status: RO
X-Status:
X-Lines: 38
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "On Various Modes of Scalar
Convergence in L_0(X)" by S.J. Dilworth and Maria Girardi. 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
begin
send dilworthgirardisclrcnvrg.atx
end
to: banach-files at math.okstate.edu.
Abstract:A sequence $\{f_n\}$ of strongly-measurable functions
taking values in
a Banach space $\X$ is scalarly null a\.e\.
(resp. scalarly null in measure)
if $x^*f_n \rightarrow0$ a\.e\. (resp. $x^*f_n \rightarrow 0$ in
measure)
for every $x^*\in \X^*$. Let $1\le p\le \infty$.
The main questions addressed in this paper are
whether an $L_p(\X)$-bounded sequence that is scalarly null a\.e\.
will converge weakly
a\.e\. (or have a subsequence which converges weakly a\.e\.),
and whether an $L_p(\X)$-bounded sequence that is
scalarly null in measure will
have a subsequence that is scalarly null a\.e.
The answers to these
and other similar questions
often
depend upon $p$ and upon the geometry of $\X$.
File length:69K
From alspach Thu May 9 12:06:09 1996
To: banach-dist |cat>>$HOME/banachl/1996mes.txt
Subject: Abstract of a paper by Alexander Koldobsky
Content-Length: 1364
X-Lines: 32
Status: RO
This is the abstract of the paper "Inverse formula for the
Blaschke-Levy representation with applications to zonoids and sections
of star bodies" by Alexander Koldobsky. 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
begin
send koldobskyinvzonsect.tex
end
to: banach-files at math.okstate.edu.
Abstract:We say that an even continuous function $H$ on the unit
sphere $\Omega$ in $R^n$ admits the Blaschke-Levy representation with
$q>0$ if there exists an even function $b\in L_1(\Omega)$ so that
$H^q(x)=\int_\Omega |(x,\xi)|^q b(\xi)\ d\xi$ for every $x\in \Omega.$
This representation has numerous applications in convex geometry,
probability and Banach space theory. In this paper, we present a simple
formula (in terms of the derivatives of $H$) for calculating $b$ out of
$H.$ We use this formula to give a sufficient condition for isometric
embedding of a space into $L_p$ which contributes to the 1937 P.Levy's
problem and to the study of zonoids. Another application gives a
Fourier transform formula for the volume of $(n-1)$-dimensional central
sections of star bodies in $R^n.$ We apply this formula to find the
minimal and maximal volume of central sections of the unit balls of the
spaces $\ell_p^n$ with $0<p<2.$
File Length: 57085 bytes
From alspach Thu May 9 13:10:37 1996
To: banach-dist |cat>>$HOME/banachl/1996mes.txt
Subject: Abstract of a paper by Pradipta Bandyopadhyay and Sudeshna Basu
Content-Length: 1136
X-Lines: 28
Status: RO
This is the abstract of the paper "On nicely smooth Banach spaces" by
Pradipta Bandyopadhyay and Sudeshna Basu. The paper is typed in
LaTeX2.09. The paper may be downloaded from the bulletin board by ftp
to ftp.math.okstate.edu or transmitting the commands
begin
send bandybasunclysmth.latex
end
to: banach-files at math.okstate.edu.
Abstract:In this work, we obtain some necessary and some sufficient
conditions for a space to be nicely smooth, and show that they are
equivalent for separable or Asplund spaces. We obtain a sufficient
condition for the Ball Generated Property (BGP), and conclude that
Property $(II)$ implies the BGP, which, in turn, implies the space is
nicely smooth. We show that the class of nicely smooth spaces is stable
under $c_o$ and $\ell_p$ sums and also under finite $\ell_1$ sums; that
being nicely smooth is not a three space property; and that the Bochner
$L_p$ spaces are nicely smooth if and only if $X$ is both nicely smooth
and Asplund. A striking result obtained is that every equivalent
renorming of a space is nicely smooth if and only if it is reflexive.
File Length: 28725 bytes
From alspach Fri May 10 10:09:26 1996
To: banach-dist
Subject: Abstract of a paper by Beata Randrianantoanina
Content-Length: 1297
X-Lines: 35
Status: RO
This is the abstract of the paper "${\bf 1}$-complemented subspaces of
spaces with ${\bf 1}$-unconditional bases" by Beata
Randrianantoanina. The paper is typed in LaTeX2e. The paper may be
downloaded from the bulletin board by ftp to ftp.math.okstate.edu or
transmitting the commands
begin
send brandri1comp.latex
end
to: banach-files at math.okstate.edu.
Abstract:We prove that if $X$ is a complex strictly monotone sequence
space with $1$-unconditional basis, $Y \subseteq X$ has no bands
isometric to $\ell_2^2$ and $Y$ is the range of norm-one projection
from $X$, then $Y$ is a closed linear span a family of mutually
disjoint vectors in $X$.
We completely characterize $1$-complemented subspaces and norm-one
projections in complex spaces $\ell_p(\ell_q)$ for $1 \leq p, q <
\infty$.
Finally we give a full description of the subspaces that are spanned by
a family of disjointly supported vectors and which are $1$-complemented
in (real or complex) Orlicz or Lorentz sequence spaces. In particular
if an Orlicz or Lorentz space $X$ is not isomorphic to $\ell_p$ for
some $1 \leq p < \infty$ then the only subspaces of $X$ which are
$1$-complemented and disjointly supported are the closed linear spans
of block bases with constant coefficients.
File Length: 67659 bytes
From alspach Mon May 27 11:57:16 1996
To: alspach
Subject: Abstract of a paper by Manuel Gonzalez and Joaquin M. Gutierrez
Content-Length: 1329
X-Lines: 32
Status: RO
This is the abstract of the paper "Factorization of weakly continuous
holomorphic mappings" by Manuel Gonzalez and Joaquin M. Gutierrez. The
paper is typed in LaTeX2.09. The paper may be downloaded from the
bulletin board by ftp to ftp.math.okstate.edu or transmitting the
commands
begin
send gonzagutierfctwkcnthlmp.latex
end
to: banach-files at math.okstate.edu.
Abstract:We prove a basic property of continuous multilinear mappings
between topological vector spaces, from which we derive an easy proof
of the fact that a multilinear mapping (and a polynomial) between
topological vector spaces is weakly continuous on weakly bounded sets
if and only if it is weakly {\it uniformly\/} continuous on weakly
bounded sets. This result was obtained in 1983 by Aron, Herv\'es and
Valdivia for polynomials between Banach spaces, and it also holds if
the weak topology is replaced by a coarser one. However, we show that
it need not be true for a stronger topology, thus answering a question
raised by Aron. As an application of the first result, we prove that a
holomorphic mapping $f$ between complex Banach spaces is weakly
uniformly continuous on bounded subsets if and only if it admits a
factorization of the form $f=g\circ S$, where $S$ is a compact operator
and $g$ a holomorphic mapping.
File Length: 50173
From alspach Thu Jun 13 10:36:25 1996
Subject: Abstract of a paper by Y. A. Abramovich and A. W. Wickstead
Content-Length: 1517
X-Lines: 37
Status: RO
This is the abstract of the paper "When each continuous operator is
regular, II" by Y. A. Abramovich and A. W. Wickstead. 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
begin
send abramovichwicksteadcntop.tex
end
to: banach-files at math.okstate.edu.
Abstract:The following theorem is essentially due to L.~Kantorovich
and B. Vulikh and it describes one of the most important classes of
Banach lattices between which each continuous operator is regular.
{\bf Theorem 1.1.} {\sl Let $E$ be an arbitrary L-space and $F$ be an
arbitrary Banach lattice with Levi norm. Then ${\cal L}(E,F)={\cal
L}^r(E,F),\ (\star) $ that is, every continuous operator from $E$ to
$F$ is regular.}
In spite of the importance of this theorem it has not yet been
determined to what extent the Levi condition is essential for the
validity of equality $(\star)$. Our main aim in this work is to prove
a converse to this theorem by showing that for a Dedekind complete
$F$ the Levi condition is necessary for the validity of $(\star)$.
As a sample of other results we mention the following. {\bf
Theorem~3.6.} {\sl For a Banach lattice $F$ the following are
equivalent: {\rm (a)} $F$ is Dedekind complete; {\rm (b)} For all
Banach lattices $E$, the space ${\cal L}^r(E,F)$ is a Dedekind
complete vector lattice; {\rm (c)} For all L-spaces $E$, the space
${\cal L}^r(E,F)$ is a vector lattice.}
File Length: 46118 bytes
From alspach Thu Jun 13 12:30:10 1996
To: banach-dist |cat>>/public/ftp/pub/banach/1996mes.txt
Subject: Abstract of a paper by Lutz Weis and Dirk Werner
Content-Length: 606
X-Lines: 21
Status: RO
This is the abstract of the paper "The Daugavet equation for operators
not fixing a copy of $C(S)$" by Lutz Weis and Dirk Werner. The paper
is typed in LaTeX2.09. The paper may be downloaded from the bulletin
board by ftp to ftp.math.okstate.edu or transmitting the commands
begin
send weiswernerdgvt.latex
end
to: banach-files at math.okstate.edu.
Abstract:We prove the norm identity $\|Id+T\| = 1+\|T\|$, which is
known as the Daugavet equation, for operators $T$ on $C(S)$ not fixing
a copy of $C(S)$, where $S$ is a compact metric space without isolated
points.
File Length: 28766 bytes
From alspach Tue Jul 9 09:19:22 1996
To: banach-dist |cat>>/public/ftp/pub/banach/1996mes.txt
Subject: Abstract of a paper by Ryszard A. Komorowski and Nicole Tomczak-Jaegermann
Content-Length: 620
X-Lines: 21
Status: RO
This is the abstract of the paper "Erratum to: ``Banach spaces without
local unconditional structure''" by Ryszard A. Komorowski and Nicole
Tomczak-Jaegermann. The paper is typed in LaTeX2.09. The paper may be
downloaded from the bulletin board by ftp to ftp.math.okstate.edu or
transmitting the commands
begin
send komorowskitomczakrtmwolust.latex
end
to: banach-files at math.okstate.edu.
Abstract:This note contains a corrected proof of the main result
(which remains unchanged) from [K-T]. It was recently observed that
an argument in a basic technical criterium has a gap.
File Length: 23445 bytes
From banach-request at math.okstate.edu Mon Jul 8 12:40:22 1996
To: banach-dist at math.okstate.edu
Subject: Death of N T Peck
Date: Mon, 8 Jul 96 12:26:45 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 354
Status: RO
X-Status:
X-Lines: 18
************************
Tenney Peck died Friday, July 5, after more than a
year of a spirited fight with cancer. For those who knew
him well and would like to convey condolences to his wife,
here is her address:
Emily Peck
202 East Pennsylvania Avenue
Urbana, Illinois 61801
Telephone: 217-328-1436
e-mail: e-peck at math.uiuc.edu
From banach-request at math.okstate.edu Mon Jul 8 17:01:32 1996
To: banach-dist at math.okstate.edu
Subject: PRELIMINARY ANNOUNCEMENT OF SUMIRFAS'96
Date: Mon, 8 Jul 96 16:56:11 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Status: RO
X-Status:
Content-Length: 1696
X-Lines: 35
PRELIMINARY ANNOUNCEMENT OF SUMIRFAS'96
The Informal Regional Functional Analysis Seminar
will meet August 2 - 4 at Texas A&M in College Station.
SCHEDULE: TBA. We expect the first talk on Friday to start at eleven. The
schedule will be posted and updated periodically on the Home Page of the
Workshop in Linear Analysis and Probability,
http://www.math.tamu.edu/conferences/linanalysis/mainpage.html
The Home Page also contains other information about the Workshop,
including a list of participants and a schedule of seminars, so check it out
even if you cannot participate in SUMIRFAS.
HOUSING: We have reserved some rooms at Hampton Inn. You will need to
go through Karen Cole, (kcole at math.tamu.edu, (409) 845-6752,
(409) 845-4160 FaX) to get one of these rooms. Please tell Karen the type
of accomodation you desire (smoking or nonsmoking), which night(s) you
need the room, and give her a roommate preference. Our "hold" expires
July 18; Karen will try to book rooms after that date, but cannot guarantee
success.
We expect to be able to cover housing, possibly in a double room, for most
participants, from support the National Science Foundation has provided
the Workshop. Preference will be given to participants who do not have
other sources of support, such as sponsored research grants. When you
ask Karen to book your room, please tell her if you are requesting support.
If you are not, please give Karen a credit card number because the
Hampton Inn requires that the rooms be guaranteed.
W. Johnson, johnson at math.tamu.edu
D. Larson, larson at math.tamu.edu
G. Pisier, pisier at math.tamu.edu
J. Zinn, jzinn at math.tamu.edu
From alspach Tue Jul 16 08:51:11 1996
To: banach
Subject: Abstract of a paper by E. Odell and Th. Schlumprecht
Content-Length: 968
X-Lines: 23
Status: RO
This is the abstract of the paper "A problem on spreading models" by E.
Odell and Th. Schlumprecht. 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
get banach odellschlumprechtspmd.tex
to: majordomo at littlewood.math.okstate.edu.
Abstract:It is proved that if a Banach space $X$ has a basis $(e_n)$
satisfying every spreading model of a normalized block basis of $(e_n)$
is 1-equivalent to the unit vector basis of $\ell_1$ (respectively,
$c_0$) then $X$ contains $\ell_1$ (respectively, $c_0$). Furthermore
Tsirelson's space $T$ is shown to have the property that every infinite
dimensional subspace contains a sequence having spreading model
1-equivalent to the unit vector basis of $\ell_1$. An equivalent norm
is constructed on $T$ so that $\|s_1+s_2\|<2$ whenever $(s_n)$ is a
spreading model of a normalized basic sequence in $T$.
File Length: 44142 bytes
From alspach Tue Jul 16 09:02:55 1996
To: banach
Subject: Abstract of a paper by E. Odell and Th. Schlumprecht
Content-Length: 975
X-Lines: 23
Status: RO
This is the abstract of the paper "On asymptotic properties of Banach
spaces under renormings" by E. Odell and Th. Schlumprecht. 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
get banach odellschlumprechtasmrnrm.tex
to: majordomo at littlewood.math.okstate.edu.
Abstract:It is shown that a separable Banach space $X$ can be given an
equivalent norm $\dotnormm$ with the following properties:\quad If
$(x_n)\subseteq X$ is relatively weakly compact and $\lim_{m\to\infty}
\lim_{n\to\infty}\break \normm x_m+x_n\normm = 2\lim_{m\to\infty}
\normm x_m\normm$ then $(x_n)$ converges in norm. This solves a
problem of Milman. In addition it is shown that some spreading model
of a sequence in $(X,\dotnormm)$ is 1-equivalent to the unit vector
basis of $\ell_1$ (respectively, $c_0$) iff $X$ contains an isomorphic
of $\ell_1$ (respectively, $c_0$).
File Length: 34250 bytes
From alspach Tue Jul 16 09:11:30 1996
To: banach
Subject: Abstract of a paper by Denny H. Leung
Content-Length: 881
X-Lines: 22
Status: RO
This is the abstract of the paper "Purely non-atomic weak L^p spaces"
by Denny H. Leung. 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
get banach leungnonatomwlp.latex
to: majordomo at littlewood.math.okstate.edu.
Abstract:Let $\msp$ be a purely non-atomic measure space, and let $1 <
p < \infty$. If $\weakLp\msp$ is isomorphic, as a Banach space, to
$\weakLp\mspp$ for some purely atomic measure space $\mspp$, then there
is a measurable partition $\Omega = \Omega_1\cup\Omega_2$ such that
$(\Omega_1,\Sigma\cap\Omega_1,\mu_{|\Sigma\cap\Omega_1})$ is countably
generated and $\sigma$-finite, and that $\mu(\sigma) = 0$ or $\infty$
for every measurable $\sigma \subseteq \Omega_2$. In particular,
$\weakLp\msp$ is isomorphic to $\ell^{p,\infty}$.
File Length: 37375 bytes
From owner-banach at littlewood.math.okstate.edu Mon Jul 15 11:34:21 1996
Received: from littlewood.math.okstate.edu by hardy.math.okstate.edu id aa15351;
15 Jul 96 11:34 CDT
Received: from hardy.math.okstate.edu by littlewood.math.okstate.edu id aa25032;
15 Jul 96 09:31 CDT
To: banach at littlewood.math.okstate.edu
Subject: New list server software
Date: Mon, 15 Jul 96 9:29:13 CDT
From: owner-banach at littlewood.math.okstate.edu
Sender: owner-banach at littlewood.math.okstate.edu
Precedence: bulk
Content-Length: 1006
X-Lines: 38
Status: RO
The Banach space bulletin board is switching to the Majordomo software
for email access. Addresses and command syntax will be different.
Each command should be in the body of an email message. The sofware
serves several lists so the list name banach must appear in the
command. The main commands are
a. To obtain a file named filename send the message
get banach filename
to majordomo at littlewood.math.okstate.edu.
b. To add a new email address email_address to the distribution
list send the message
subscribe banach email_address
to majordomo at littlewood.math.okstate.edu
c. To remove your email address email_address from the distribution
list send the message
unsubscribe banach email_address
to majordomo at littlewood.math.okstate.edu
d. To send a message to all subscribers email the message to
banach at littlewood.math.okstate.edu
Messages will still be checked prior to distribution.
If you have any problems with the new software let me know.
Dale Alspach
alspach at math.okstate.edu
From alspach Thu Jul 18 12:34:58 1996
To: banach
Subject: Abstract of a paper by P. Hitczenko, S. Kwapien, W. Li, G. Schechtman, Th. Schlumprecht and J. Zinn
Content-Length: 827
This is the abstract of the paper "Hypercontractivity and comparison of
moments of iterated maxima and minima of independent random variables"
by P. Hitczenko, S. Kwapien, W. Li, G. Schechtman, Th. Schlumprecht and
J. Zinn. The paper is typed in Plain. The paper may be downloaded from
the bulletin board by ftp to ftp.math.okstate.edu or transmitting the
command
get banach hklsszhyperc.tex
to: majordomo at littlewood.math.okstate.edu.
Abstract:We provide necessary and sufficient conditions for
hypercontractivity of the minima of nonnegative, i.i.d. random
variables and of both the maxima of minima and the minima of maxima for
such r.v.'s. It turns out that the idea of hypercontractivity for
minima is closely related to small ball probabilities and Gaussian
correlation inequalities.
File Length: 62321 bytes
From alspach Thu Jul 18 12:46:16 1996
To: banach
Subject: Abstract of a paper by G. Schechtman, Th. Schlumprecht and J. Zinn
Content-Length: 1191
This is the abstract of the paper "On the Gaussian measure of the
intersection of symmetric, convex sets" by G. Schechtman, Th.
Schlumprecht and J. Zinn. The paper is typed in Plain. The paper may
be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or
transmitting the command
get banach sszgaussianmeasinterconv.tex
to: majordomo at littlewood.math.okstate.edu.
Abstract:The Gaussian Correlation Conjecture states that for any two
symmetric, convex sets in n-dimensional space and for any centered,
Gaussian measure on that space, the measure of the intersection is
greater than or equal to the product of the measures. In this paper we
obtain several results which substantiate this conjecture. For example,
in the standard Gaussian case, we show there is a positive constant, c,
such that the conjecture is true if the two sets are in the Euclidean
ball of radius $c\sqrt{n}$. Further we show that if for every n the
conjecture is true when the sets are in the Euclidean ball of radius
$\sqrt{n}$, then it is true in general. Our most concrete result is
that the conjecture is true if the two sets are (arbitrary) centered
ellipsoids.
File Length: 31539 bytes
From owner-banach at littlewood.math.okstate.edu
Received: from littlewood.math.okstate.edu by hardy.math.okstate.edu id aa25200;
24 Jul 96 13:54 CDT
Received: from littlewood.math.okstate.edu by littlewood.math.okstate.edu
id aa27460; 24 Jul 96 13:23 CDT
Received: from littlewood.math.okstate.edu by littlewood.math.okstate.edu
id aa27134; 24 Jul 96 13:11 CDT
To: banach at littlewood.math.okstate.edu
Subject: ANNOUNCEMENT OF SUMIRFAS'96
Date: Wed, 24 Jul 1996 13:11:01 -0500
From: Alspach Dale <alspach at littlewood.math.okstate.edu>
Sender: owner-banach at littlewood.math.okstate.edu
Precedence: bulk
ANNOUNCEMENT OF SUMIRFAS'96
The Informal Regional Functional Analysis Seminar
will meet August 2 - 4 at Texas A&M in College Station.
SCHEDULE: A schedule appears below. All talks will be in Blocker 120.
The first talk on Friday will be at 1:40 p.m. THIS IS A CHANGE FROM THE
PRELIMINARY ANNOUNCEMENT. The schedule will be posted and updated
periodically on the Home Page of the Workshop in Linear Analysis and
Probability,
http://www.math.tamu.edu/conferences/linanalysis/mainpage.html
The Home Page also contains other information about the Workshop,
including a list of participants and a schedule of seminars.
HOUSING: Contact Karen Cole, (kcole at math.tamu.edu, (409) 845-6752,
(409) 845-4160 FaX) for help with housing. Please tell Karen the type of
accomodation you desire (smoking or nonsmoking), which night(s) you
need the room, and give her a roommate preference.
DINNER: There will be a dinner at China Light Restaurant at 7:00 p.m. on
Saturday, August 3. Please tell Karen Cole if you (and spouse or
companion, if applicable) will attend. There is a $10 per person charge for
the (partially subsidized) dinner; please send a check made out to
Department of Mathematics, TAMU, to
Karen Cole
Department of Mathematics
Texas A&M University
College Station, TX 77843-3368.
RESERVATIONS MUST BE MADE BY JULY 31! Although not absolutely
necessary, it would be helpful if you arrange to make payment by Aug. 1.
We expect to be able to cover housing, possibly in a double room, for most
participants, from support the National Science Foundation has provided
the Workshop. Preference will be given to participants who do not have
other sources of support, such as sponsored research grants. When you
ask Karen to book your room, please tell her if you are requesting support.
If you are not, please give Karen a credit card number because local hotels
requires that the rooms be guaranteed for the Aug. 2-4 weekend.
W. Johnson, johnson at math.tamu.edu
D. Larson, larson at math.tamu.edu
G. Pisier, pisier at math.tamu.edu
J. Zinn, jzinn at math.tamu.edu
PRELIMINARY SCHEDULE SUMIRFAS-96
Friday, August 2
1:20-1:40 Coffee, Blocker 119
1:40-2:30 Joram Lindenstrauss, The Hebrew University of Jerusalem,
Nonlinear quotients
2:40-3:30 Nik Weaver, The University of California at Santa Barbara,
Seven ways to look at the CCR algebra
3:40-4:00 Vishnu Kamat, Texas A&M University,
Operators and multiwavelets
4:00-4:20 COFFEE BREAK
4:20-5:10 Alexander Koldobsky, University of Texas at San Antonio,
The Blaschke-Levy representation and its applications
5:20-5:40 Timur Oikhberg, Texas A&M University, Projections in direct
sums of homogeneous Hilbertian operator spaces
5:50-6:10 Deguang Han, Texas A&M University, Wandering
multiplier group for irrational rotation unitary system
Saturday, August 3
9:30-10:00 Coffee & Donuts
10:00-10:50 Wenbo Li, University of Delaware, A shift inequality for
Gaussian measures
11:00-11:50 Haskell Rosenthal, The University of Texas at Austin,
On substantial invariant subspaces for operators with
infinite point spectrum
11:50-2:00 BREAK FOR LUNCH
1:45-2:00 Coffee & Cookies
2:00-2:50 Narcisse Randrianatonina, The University of Texas at Austin
and Miami University of Ohio, Analytic Radon-Nikodym
property for spaces of compact operators
3:00-3:20 Darrin Speegle, Texas A&M University, Banach spaces failing
the almost isometric universal extension property
3:30-3:50 Vasile Lauric, Texas A&M University, On operators 'lambda'-
commuting with a compact
3:50-4:20 COFFEE BREAK
4:20-5:10 TBA
5:20-5:40 Eugen Ionascu, Texas A&M University, Rank-one perturbations
of diagonal operators
5:50-6:10 Antonio Martinez, The University of Texas at Austin,
Characterizations and examples of tauberian operators on L_1
7:00- Dinner at China Light Restaurant, 1673 Briarcrest Dr., 776-8584
Sunday, August 4
9:30-10:00 Coffee & Donuts
10:00-10:50 Ileana Ionascu, University of Waterloo and University of
Texas at Austin,
11:00-11:20 Anda Gadidov, Texas A&M University, The strong law of large
numbers for a class of U-statistics
11:30-12:20 Gilles Pisier, Texas A&M University and Universite Paris VI,
Similarity problems and related questions
END OF SUMIRFAS-96
From owner-banach at littlewood.math.okstate.edu
Received: from littlewood.math.okstate.edu by hardy.math.okstate.edu id aa00997;
25 Jul 96 9:09 CDT
Received: from littlewood.math.okstate.edu by littlewood.math.okstate.edu
id aa09359; 25 Jul 96 08:31 CDT
Received: from littlewood.math.okstate.edu by littlewood.math.okstate.edu
id aa09246; 25 Jul 96 08:21 CDT
To: banach at littlewood.math.okstate.edu
Subject: Web pages
Date: Thu, 25 Jul 1996 08:21:17 -0500
From: Alspach Dale <alspach at littlewood.math.okstate.edu>
Sender: owner-banach at littlewood.math.okstate.edu
Precedence: bulk
Most of the facilities of the Banach space BBS are now available on the
worldwide web. For those of you with slow connections there are no images
that must be loaded and the pages are usable with text based browsers like
lynx. The homepage is at URL
http://www.math.okstate.edu/~alspach/banach/
There is one form which is not yet available for general use. This form
will allow you to update your entry in the addressbook and will require
passwords. The subscription form which is on the same web page is
functional.
Dale Alspach
From owner-banach at littlewood.math.okstate.edu
Received: from littlewood.math.okstate.edu by hardy.math.okstate.edu id aa11233;
26 Jul 96 11:42 CDT
Received: from littlewood.math.okstate.edu by littlewood.math.okstate.edu
id aa02089; 26 Jul 96 10:54 CDT
Received: from littlewood.math.okstate.edu by littlewood.math.okstate.edu
id aa01771; 26 Jul 96 10:38 CDT
To: banach at littlewood.math.okstate.edu
Subject: SUMIRFAS'96 Schedule
Reply-To: johnson at math.tamu.edu
Date: Fri, 26 Jul 1996 10:38:21 -0500
From: Alspach Dale <alspach at littlewood.math.okstate.edu>
Sender: owner-banach at littlewood.math.okstate.edu
Precedence: bulk
ANNOUNCEMENT OF SUMIRFAS'96
The Informal Regional Functional Analysis Seminar
will meet August 2 - 4 at Texas A&M in College Station.
SCHEDULE: A schedule appears below. All talks will be in Blocker 120.
The first talk on Friday will be at 1:40 p.m. THIS IS A CHANGE FROM THE
PRELIMINARY ANNOUNCEMENT. The schedule will be posted and updated
periodically on the Home Page of the Workshop in Linear Analysis and
Probability,
http://www.math.tamu.edu/conferences/linanalysis/mainpage.html
The Home Page also contains other information about the Workshop,
including a list of participants and a schedule of seminars.
HOUSING: Contact Karen Cole, (kcole at math.tamu.edu, (409) 845-6752,
(409) 845-4160 FaX) for help with housing. Please tell Karen the type of
accomodation you desire (smoking or nonsmoking), which night(s) you
need the room, and give her a roommate preference.
DINNER: There will be a dinner at China Light Restaurant at 7:00 p.m. on
Saturday, August 3. Please tell Karen Cole if you (and spouse or
companion, if applicable) will attend. There is a $10 per person charge for
the (partially subsidized) dinner; please send a check made out to
Department of Mathematics, TAMU, to
Karen Cole
Department of Mathematics
Texas A&M University
College Station, TX 77843-3368.
RESERVATIONS MUST BE MADE BY JULY 31! Although not absolutely
necessary, it would be helpful if you arrange to make payment by Aug. 1.
We expect to be able to cover housing, possibly in a double room, for most
participants, from support the National Science Foundation has provided
the Workshop. Preference will be given to participants who do not have
other sources of support, such as sponsored research grants. When you
ask Karen to book your room, please tell her if you are requesting support.
If you are not, please give Karen a credit card number because local hotels
requires that the rooms be guaranteed for the Aug. 2-4 weekend.
W. Johnson, johnson at math.tamu.edu
D. Larson, larson at math.tamu.edu
G. Pisier, pisier at math.tamu.edu
J. Zinn, jzinn at math.tamu.edu
SCHEDULE SUMIRFAS-96
Friday, August 2
1:20-1:40 Coffee, Blocker 119
1:40-2:30 Joram Lindenstrauss, The Hebrew University of Jerusalem,
Nonlinear quotients
2:40-3:30 Nik Weaver, The University of California at Santa Barbara and
the University of California at Los Angeles,
Seven ways to look at the CCR algebra
3:40-4:00 Vishnu Kamat, Texas A&M University,
Operators and multiwavelets
4:00-4:20 COFFEE BREAK
4:20-5:10 Alexander Koldobsky, University of Texas at San Antonio,
The Blaschke-Levy representation and its applications
5:20-5:40 Timur Oikhberg, Texas A&M University, Projections in direct
sums of homogeneous Hilbertian operator spaces
5:50-6:10 Deguang Han, Texas A&M University, Wandering
multiplier group for irrational rotation unitary system
Saturday, August 3
9:30-10:00 Coffee & Donuts
10:00-10:50 Wenbo Li, University of Delaware, A shift inequality for
Gaussian measures
11:00-11:50 Haskell Rosenthal, The University of Texas at Austin,
On substantial invariant subspaces for operators with
infinite point spectrum
11:50-2:00 BREAK FOR LUNCH
1:45-2:00 Coffee & Cookies
2:00-2:50 Narcisse Randrianatonina, The University of Texas at Austin
and Miami University of Ohio, Analytic Radon-Nikodym
property for spaces of compact operators
3:00-3:20 Darrin Speegle, Texas A&M University, Banach spaces failing
the almost isometric universal extension property
3:30-3:50 Vasile Lauric, Texas A&M University, On operators 'lambda'-
commuting with a compact
3:50-4:20 COFFEE BREAK
4:20-5:10 Charles Akemann, University of California at Santa Barbara and
the National Science Foundation, Projection production,
Lyapunov's theorem meets the spectral theorem in a finite factor
5:20-5:40 Eugen Ionascu, Texas A&M University, Rank-one perturbations
of diagonal operators
5:50-6:10 Antonio Martinez, The University of Texas at Austin,
Characterizations and examples of tauberian operators on L_1
7:00- Dinner at China Light Restaurant, 1673 Briarcrest Dr., 776-8584
Sunday, August 4
9:10-9:40 Coffee & Donuts
9:40-10:30 Ileana Ionascu, University of Waterloo and University of
Texas at Austin, Hyper-reflexivity of free group algebras
10:40-11:30 Anda Gadidov, Texas A&M University, The strong law of large
numbers for a class of U-statistics
11:30-11:45 Coffee Break
11:45-12:35 Thomas Schlumprecht, Texas A&M University, On asymptotic
properties of Banach spaces under renormings
12:45-1:35 Gilles Pisier, Texas A&M University and Universite Paris VI,
Similarity problems and related questions
END OF SUMIRFAS-96
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To: banach at littlewood.math.okstate.edu
Subject: Abstract of a paper by Jyh-Shyang Jeang and Ngai-Ching Wong
Reply-To: majordomo at math.okstate.edu
Date: Tue, 30 Jul 1996 08:45:26 -0500
From: Alspach Dale <alspach at littlewood.math.okstate.edu>
Sender: owner-banach at littlewood.math.okstate.edu
Precedence: bulk
This is the abstract of the paper "Into isometries of $C_0(X,E)$'s" by
Jyh-Shyang Jeang and Ngai-Ching Wong. 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
get banach JeangWongBSV.latex
to: majordomo at littlewood.math.okstate.edu.
Abstract:Suppose $X$ and $Y$ are locally compact Hausdorff spaces, $E$
and $F$ are Banach spaces and $F$ is strictly convex. We show that
every linear isometry $T$ from $C_0(X,E)$ {\em into} $C_0(Y,F)$ is
essentially a weighted composition operator $Tf(y) = h(y)
(f(\varphi(y)))$. This supplements results of Jerison (when $T$ is
onto) and Cambern (when $X,Y$ are compact).
File Length: 15151 bytes
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To: banach at littlewood.math.okstate.edu
Subject: Abstract of a paper by Jyh-Shyang Jeang and Ngai-Ching Wong
Reply-To: majordomo at math.okstate.edu
Date: Tue, 30 Jul 1996 08:15:59 -0500
From: Alspach Dale <alspach at littlewood.math.okstate.edu>
Sender: owner-banach at littlewood.math.okstate.edu
Precedence: bulk
This is the abstract of the paper "Weighted composition operators of
$C_0(X)$'s" by Jyh-Shyang Jeang and Ngai-Ching Wong. 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
get banach jeangwongwcmpop.latex
to: majordomo at littlewood.math.okstate.edu.
Abstract:In this paper, we prove that into isometries and disjointness
preserving linear maps from $C_0(X)$ into $C_0(Y)$ are essentially
weighted composition operators $Tf = h\cdot f\circ\varphi$ for some
continuous map $\varphi$ and some continuous scalar-valued function
$h$.
File Length: 36342 bytes
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To: banach at littlewood.math.okstate.edu
Subject: Vacation
Date: Wed, 31 Jul 1996 17:05:53 -0500
From: Alspach Dale <alspach at littlewood.math.okstate.edu>
Sender: owner-banach at littlewood.math.okstate.edu
Precedence: bulk
Dear Subscribers,
I will be away from computers for the next two weeks,
consequently, no new papers will
be added to the archive or messages sent during this time.
Dale Alspach
alspach at math.okstate.edu
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To: banach at littlewood.math.okstate.edu
Subject: Conference on MODERN BANACH SPACE THEORY at Kent State University
Reply-To: banach at mcs.kent.edu
Date: Wed, 14 Aug 1996 13:09:39 -0500
From: Alspach Dale <alspach at littlewood.math.okstate.edu>
Sender: owner-banach at littlewood.math.okstate.edu
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The Department of Mathematics at Kent State University
announces a Conference on MODERN BANACH SPACE THEORY,
December 17 - 20, 1996. The meeting is being supported
by the Institute for Mathematics and its Applications,
the National Science Foundation, the Central States
Universities, Inc., and Kent State University.
Main topics: Recent developments in Banach space
theory, in the broadest sense, combined with the celebration of
an honorary doctorate for Aleksander Pelczynski.
Invited speakers: Grahame Bennett, Czeslaw Bessaga,
Ted Gamelin, Vladimir Gurarii, Krzysztof Jarosz,
William B. Johnson, Nigel Kalton, Staszek Kwapien,
Joram Lindenstrauss, Edward Odell, Aleksander Pelczynski,
Narcisse Randrianantoanina, Haskell Rosenthal,
Joel Shapiro, Staszek Szarek, Nicole Tomczak-Jaegermann.
Note: Financial aid for well-qualified mathematicians,
especially graduate students and those with recent PhD's,
will be available.
Organizing Committee: R. M. Aron, J. Q. Diestel,
P. H. Enflo, R. H. Lohman, V. Lomonosov, and A. M. Tonge.
Information: For further information, contact the
Modern Banach Space Theory Conference, Department of Mathematics,
Kent State University, Kent, Ohio 44242
e-mail: banach at mcs.kent.edu
website: http://www.mcs.kent.edu/banach (updated infrequently)
From alspach Wed Aug 21 12:21:36 1996
To: banach
Subject: Abstract of a paper by Yossi Lonke
Content-Length: 566
This is the abstract of the paper "On zonoids whose polars are zonoids"
by Yossi Lonke. 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
get banach lonkezonopolar.tex
to: majordomo at littlewood.math.okstate.edu.
Abstract:Zonoids whose polars are zonoids cannot have proper faces of
dimension other than $n-1$ or zero ($n\geq 3$). However, there exist
non smooth zonoids whose polars are zonoids. Examples in $R^3$ and
$R^4$ are given.
File Length: 31388 bytes
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To: banach at littlewood.math.okstate.edu
Subject: New E-mail address for V. Ferenczi
Reply-To: ferenczi at math.univ-mlv.fr
Date: Wed, 21 Aug 1996 12:59:12 -0500
From: Alspach Dale <alspach at littlewood.math.okstate.edu>
Sender: owner-banach at littlewood.math.okstate.edu
Precedence: bulk
To all subscribers,
My new E-mail address is ferenczi at ccr.jussieu.fr.
Valentin Ferenczi.
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To: banach at littlewood.math.okstate.edu
Subject: Handbook on the Geometry of Banach Spaces
Date: Wed, 28 Aug 1996 09:13:27 -0500
From: Alspach Dale <alspach at littlewood.math.okstate.edu>
Sender: owner-banach at littlewood.math.okstate.edu
Precedence: bulk
Dear Colleagues,
We recently agreed with Elsevier Science Publishers, who have
published handbooks in various areas of mathematics, to edit a
Handbook on the Geometry of Banach Spaces. We would like to
solicit input from other experts in Banach space theory as to
the contents of the book.
The Elsevier Handbooks consist of 20 to 30 articles, written by
experts in the field, on some of the main parts of the subject
area. Our intention is that the Handbook be an introduction to
Banach space theory which is accessible to graduate students.
One goal is that a beginning PhD student could peruse the
Handbook in order to pick an area of research. Another goal is
that the Handbook serve as reference for researchers in Banach
space theory and other areas. As such, the articles should
include some indication of proofs of basic results as well as an
overview of the topic covered and references for further
reading.
Our main problem presently is to select the subareas that
should be represented in the Handbook, as well as to prepare
general outlines for the topics to be covered in each article.
The volume can be 800-2000 pages. Shorter is better both to
keep the price down, so that individual researchers can afford
the volume, and to make it more likely that the Handbook will
actually be read. Consequently, we intend to devote little space
to directions of research to which there already exist good
introductions. We also do not intend to cover at any length
subjects closely related to Banach space theory (such as locally
convex spaces, operator theory, convex geometry, harmonic
analysis, probability theory, etc.) for their own sake. On the
other hand, we are definitely interested in covering in detail,
possibly even in separate articles, those aspects of subjects
which were influenced substantially by Banach space theory.
It is in these connections between Banach space theory and
other areas where we are most eager to receive advice.
As mentioned at the beginning, we solicit your input. Please
write either or both of us your comments and
recommendations.
Bill Johnson johnson at math.tamu.edu
Joram Lindenstrauss joram at math.huji.ac.il
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Reply-to: Elias Saab <MATHES at mizzou1.missouri.edu>
To: banach at littlewood.math.okstate.edu
Subject: Positions at U. of Missouri
Date: Fri, 30 Aug 1996 11:37:27 -0500
From: Alspach Dale <alspach at littlewood.math.okstate.edu>
Sender: owner-banach at littlewood.math.okstate.edu
Precedence: bulk
University of Missouri-Columbia
Department of Mathematics
Columbia, MO 65211
Our department is now in the last stage of completing its
enhancement program. In the last three years, we have
successfully hired 11 outstanding young faculty members in
competition with some of the best departments in the country.
We have created several postdoctoral positions and several graduate
fellowships. Salary increases for our department averaged between
6.5% to 9% during the last three years.
To join a successful department, you are invited to apply
for two tenure-track positions at the Advanced Assistant
Professor level and several postdoctoral positions
beginning August 1997. The tenure-track positions require a
Ph.D. in Mathematics, two to three years experience after
the Ph.D., quality teaching, and a distinguished research
record in Algebra/Algebraic Geometry or Mathematical Physics.
The postdoctoral positions will be in the three enhanced areas
which include Modern Analysis/Harmonic Analysis, Algebra/Algebraic
Geometry and Mathematical Physics for a period of one to
three years.
Send a curriculum vitae along with a letter
of application, a completed AMS Standard Cover Sheet, and arrange
for three letters of recommendation to be sent to:
Elias Saab, Chair, at the address above. The application deadline
is January 31, 1997, or until the positions are filled thereafter.
Applications after February 28, 1997, will not be guaranteed
consideration.
Visit our homepage at http://math.missouri.edu. and read
our recent newsletter at
http://math.missouri.edu/~news/issue1/front.html AA/EEO.
From alspach Fri Sep 6 09:21:34 1996
To: banach
Subject: Abstract of a paper by Carsten Sch\"utt
Content-Length: 1152
This is the abstract of the paper "Floating body, illumination body,
and polytopal approximation" by Carsten Sch\"utt. 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
get banach schuttfloat.tex
to: majordomo at littlewood.math.okstate.edu.
Because this paper contains several figures in Postscript
which require the BoxedEPS package to process, the complete Postscript
version is also available for downloading. For this file use
get banach schuttfloat.ps
Abstract:Let $K$ be a convex body in $\Bbb R^{d}$ and $K_{t}$ its
floating bodies. There is a polytope with at most $n$ vertices that
satisfies $$ K_{t} \subset P_{n} \subset K $$ where $$ n \leq e^{16d}
\frac{vol_{d}(K \setminus K_{t})}{t\ vol_{d}(B_{2}^{d})} $$ Let $K^{t}$
be the illumination bodies of $K$ and $Q_{n}$ a polytope that contains
$K$ and has at most $n$ $d-1$-dimensional faces. Then $$ vol_{d}(K^{t}
\setminus K) \leq cd^{4} vol_{d}(Q_{n} \setminus K) $$ where $$ n \leq
\frac{c}{dt} \ vol_{d}(K^{t} \setminus K) $$
File Length: 296198 bytes and 551916 bytes (Postscript)
From alspach Wed Sep 11 11:48:05 1996
To: banach
Subject: Abstract of a paper by Haskell Rosenthal
Content-Length: 1930
This is the abstract of the paper "On wide-$(s)$ sequences and their
applications to certain classes of operators" by Haskell Rosenthal.
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
get banach rosenthalwidesseq.tex
to: majordomo at littlewood.math.okstate.edu.
Abstract:A basic sequence in a Banach space is called wide-$(s)$ if it
is bounded and dominates the summing basis. These sequences and their
quantified versions, termed $\lambda$-wide-$(s)$ sequences, are used to
characterize various classes of operators between Banach spaces, such
as the weakly compact, Tauberian, and super-Tauberian operators, as
well as a new intermediate class introduced here, the strongly
Tauberian operators. This is a nonlocalizable class which nevertheless
forms an open semigroup and is closed under natural operations such as
taking double adjoints. It is proved for example that an operator is
non-weakly compact iff for every $\varepsilon >0$, it maps some
$(1+\varepsilon)$-wide-$(s)$-sequence to a wide-$(s)$ sequence. This
immediately yields the quantitative triangular arrays result
characterizing reflexivity, due to R.C.~James. It is shown that an
operator is non-Tauberian (resp. non-strongly Tauberian) iff for every
$\varepsilon>0$, it maps some $(1+\varepsilon)$-wide-$(s)$ sequence
into a norm-convergent sequence (resp. a sequence whose image has
diameter less than $\varepsilon$). This is applied to obtain a direct
``finite'' characterization of super-Tauberian operators, as well as
the following characterization, which strengthens a recent result of
M.~Gonz\'alez and A.~Mart{\'\i}nez-Abej\'on: An operator is
non-super-Tauberian iff there are for every $\varepsilon>0$, finite
$(1+\varepsilon)$-wide-$(s)$ sequences of arbitrary length whose images
have norm at most $\varepsilon$.
File Length: 72354 bytes
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To: banach at littlewood.math.okstate.edu
Subject: Special Session on Geometric Functional Analysis, Oct 5-6, 1996
Reply-to: odell at fireant.ma.utexas.edu
Date: Thu, 12 Sep 1996 16:06:50 -0500
From: Alspach Dale <alspach at littlewood.math.okstate.edu>
Sender: owner-banach at littlewood.math.okstate.edu
Precedence: bulk
Here is the speaker schedule for the special session on Geometric
Functional Analysis at the Lawrenceville meeting of the AMS, October
5-6, 1996. Following the schedule is the travel/hotel info provided
by the AMS.
Saturday October 5, 1996
8:00 a.m.-10:50 a.m. Special Session on Geometric Functional Analysis, I
Organizers:
N. Tomczak-Jaegermann, University of Alberta
mailto: ntomczak at vega.math.ualberta.ca
Edward Odell, University of Texas, Austin
mailto: odell at math.utexas.edu
8:00 a.m. On Various Modes of Scalar Convergence in $L_0(X)$
Stephen J Dilworth,
Department of Mathematics, University of South Carolina
8:30 a.m. Distances between Banach spaces
Nigel J. Kalton*, University of Missourii
Mikhailo I. Ostrovskii
9:00 a.m. Nonlinear Quotients
Sean M. Bates, Columbia University
William B. Johnson*, Texas A&M University
Joram Lindenstrauss, The Hebrew University of Jerusalem
David Preiss, University College London
Gideon Schechtman, The Weizmann Institute of Science
9:30 a.m. Invertible disjointness preserving operators.
Yuri Abramovich*,
Arkady Kitover,
10:00 a.m. Stability problems and some solutions of some properties
in Banach spaces.
Elias Saab*, University of Missouri
10:30 a.m. Convolution Operators Associated to Vector Measures
Mangatiana A. Robedera,
Paulette Saab*,
************
Saturday October 5, 1996,
11:10 a.m.-12:00 p.m. INVITED ADDRESS
Geometric and linear structures in infinite-dimensional Banach spaces.
Nicole Tomczak-Jaegermann*, University of Alberta
************
Saturday October 5, 1996, 2:30 p.m.-5:50 p.m.
Special Session on Geometric Functional Analysis, II
Organizers:
N. Tomczak-Jaegermann, University of Alberta
Edward Odell, University of Texas, Austin
2:30 p.m. On Asymptotic Properties of Banach spaces under Renormings
Thomas Schlumprecht*, Texas A&M University
Edward Odell, University of Texas at Austin
3:00 p.m. On certain renormings of Tsirelson's space
Edward Odell*, University of Texas at Austin
Nicole Tomczak Jaegermann, University of Alberta
3:30 p.m. Modified mixed Tsirelson spaces
Spiros A. Argyros
Irene Deliyanni*
Denka Kutzarova
Antonis Manoussakis
4:00 p.m. The Krivine Theorem in Asymptotic Setting
Petr Habala*, University of Alberta
Nicole Tomczak-Jaegermann, University of Alberta
4:30 p.m. On the geometry of sequences in certain Banach spaces
Vladimir Gurariy*, Kent State University
5:00 p.m. $1-$complemented subspaces of $\ell_p(\ell_q)$
Beata Randrianantoanina*, University of Texas, Austin
5:30 p.m. Maximal Norm of $C(S)$"
Pei-Kee Lin*
************
Sunday October 6, 1996, 8:00 a.m.-10:50 a.m.
Special Session on Geometric Functional Analysis, III
Organizers:
N. Tomczak-Jaegermann, University of Alberta
Edward Odell, University of Texas, Austin
8:00 a.m. Angelic spaces and the boundary problem
Gilles B. Godefroy*, University of Paris VI
8:30 a.m. Almost orthogonal submatrices of an orthogonal matrix
Mark Rudelson*, MSRI
9:00 a.m. On the diameter of proportional sections of a symmetric
convex body
Apostolos A. Giannopoulos*,
Vitali D. Milman
9:30 a.m. Inverse formula for the Blaschke representation
Alexander Koldobsky*, University of Texas at San Antonio
10:00 a.m. The Santaloregion of a convex body
Elisabeth M. Werner*
Mathieu Meyer
10:30 a.m. Remarks on Moser-Aubin-Onofri inequalities on $S^2$
Nassif A. Ghoussoub*, University of British Columbia
************
Sunday October 6, 1996, 2:30 p.m.-5:20 p.m.
Special Session on Geometric Functional Analysis, IV
2:30 p.m. Weakly Continuous Vector Functions and Operator Theory
Victor Lomonosov*, Kent State University
3:00 p.m. Extremal vectors and invariant subspaces.
Per Enflo*, Kent State University
3:30 p.m. Some Applications of Banach Space Theory to Economics.
Charalambos D. Aliprantis*, IUPUI
4:00 p.m. Dunford-Pettis property for vector-valued function spaces.
Narcisse Randrianantoanina*, University of Texas at Austin
4:30 p.m. $wc_0^*$-Biorthogonal Systems
S. J. Dilworth, University of South Carolina
Maria Girardi*, University of South Carolina
W. B. Johnson, Texas A&M University
5:00 p.m. Metric Entropy of Homogeneous Spaces
Stanislaw J . Szarek*, Case Western Reserve University
and Mathematical Sciences Research Institute
*********************************
OTHER INFORMATION
Accommodations
Participants should make their own arrangements directly with the
hotel of their choice and state that they will be attending the AMS
meeting. All rooms will be on a space available basis after
the deadline given. The AMS is not responsible for rate changes
or for the quality of
the accommodations. Taxi service is available on a limited basis
between the hotels and the campus.
McIntosh Inn, 3270 US Route 1, Lawrenceville NJ 08648; 609-896-3700 or
800-444-2775; fax: 609-896-2544; $47-52/single or double; about three
miles from campus. Cite Group #3084, American Mathematical Society.
Deadline for reservations is September 6, 1996.
Red Roof Inn, 3203 Brunswick Pike, Lawrenceville, NJ 08648;
609-896-3388; fax: 609-896-4919; $37.99/single, $44.99/regular or king
double or king single; about two miles from campus. You must cite
block #B111RIDER.
Deadline for reservations is September 20, 1996.
Howard Johnson, 2995 US Route 1, Lawrenceville, NJ 08648;
609-896-1100; fax: 609-895-1325; $55/single or double; complimentary
breakfast included; about one mile from campus.
Deadline for reservations is September 18, 1996
Those interested in Bed-and-Breakfast-style accommodations should call
609-924-3189 for the central registry in the Princeton area.
*********
Food Service
Rider University is pleased to provide complimentary pastry to meeting
participants on Saturday and Sunday mornings in the Student Center,
courtesy of the Department of Mathematics and the Science Division.
Student Center Snack Bar: open 11:00 a.m. to 2:00 p.m. provides
complete meals.
*********
Other Activities
AMS Book Sale:
Examine the newest titles from AMS! Most books will be available at
a special 50% discount offered only at meetings. Participants can
discuss membership opportunities as well. Complimentary coffee will be
served, courtesy of AMS Membership Services.
Joint Books, Journals, and Promotional Materials Exhibit:
This exhibit will be open the same hours as the registration desk
and will provide participants with the opportunity to order
publications and other materials from various commercial publishers
not represented at the meeting.
*********
Parking
Enter Rider from the South Gate and proceed to the Visitor's Parking
Lot; there is no charge.
*********
Registration and Meeting Information
Registration is in the Cavalla Room of the Student Center: Saturday,
October 5th, 8:00 a.m. to 5:00 p.m.; and Sunday, October 6th, 8:00 to
1:00. Registration fees (payable on site only): $30/AMS members;
$45/nonmembers; and $10/emeritus members, students, or unemployed
mathematicians. Fees are payable by cash, check, VISA, Mastercard,
Discover, or American Express.
Invited addresses: Student Center;
other sessions: Memorial Hall and Science Hall.
*********
Social Event
The Local Arrangments Committee for this meeting has arranged a
special concert by Canadian soprano Lorna MacDonald, accompanist Gait
Sirguey and clarinettist Robert Annis in a program of song featuring
Schubert's ``Shepherd on the Rock'' at Rider's Westminster Choir
College in Princeton at 8:30 on Saturday evening. Tickets are $10 and
will be available at the Meeting Registration Desk and at the door (if
any remain). Tickets also may be reserved with Mastercard or VISA by
phoning The Westminster Concerts Office at 609-921-7100, ext. 308
(there is a surcharge of $1 for this service).
*********
Transportation
Rider University in Lawrenceville, NJ, is located about five miles
southwest of Princeton. The closest large airports are in Newark and
Philadelphia. Mercer County Airport, a small, regional airport five
miles from campus, features inexpensive flights from Boston and
Greenville, NC, on Eastwinds Airlines. It's about a $15 taxi ride from
there to the hotels.
USAir has been selected as the official airline for the meeting for its
generally convenient schedule. The following specially negotiated
rates are available: 5% discount off first class and any published
USAir promotional round-trip fare, or 10% discount off unrestricted
coach fares with seven-day advance reservations and ticketing
required. These discounts are valid providing all rules and
restrictions are met and are applicable for travel from the
continental U.S., Bahamas, Canada, and San Juan, P.R. Discounts are
not combinable with other discounts or promotions. Additional
restrictions may apply on international travel. For reservations call
(or have your travel agent call) 800-334-8644 between 8:00 a.m. and
9:00 p.m. Eastern Daylight Time. Refer to Gold File Number
41380077.
Train service is provided between Newark/New York and Princeton
Junction (a 45- to 60-minute trip one way) by New Jersey Transit. Call
201-762-5100 for fares and schedules. The Princeton Airporter shuttle
service from Newark and JFK airports stops at IAS and several
Princeton hotels. The cost is $19 one way for the one- to two-hour
trip (depending on pickup point); call 609-586-6600 for reservations.
A taxi is necessary to get to the Lawrenceville hotels.
The Philadelphia airport is about a 55-minute ride by car to the
campus. Commuter train transportation to Trenton is provided by SEPTA;
call 215-580-7800 for fares and instructions. A taxi is necessary to
get to the Lawrenceville hotels from Trenton.
In addition to the public buses available from local hotels to Rider
(check at the front desk of your hotel for fares and schedules), the
university will operate complimentary buses on a very limited schedule
(tentatively on Saturday: two trips from the hotels listed in the
August to the university in the morning, and two return trips in the late
afternoon; Sunday's schedule will be announced at the meeting).
Schedules should be available at your hotel when you check in.
*********
Driving directions
From the north: NJ Turnpike south to exit 9. Take Rt. 18 North 1/4
mile to Rt. 1 South (Rt. 1 is also reached via the Garden State
Parkway South); continue on Rt. 1 for about 20 miles until the I95
junction. Bear right at the junction (following signs to I95 south to
Pennsylvania). Continue to exit 7A (Rt. 206 South, Trenton). Rider is
1/4 mile on your right.
From the south: I295 North to I95 south to exit 7A and follow
directions above.
From the east: I195 West until you pick up I295 North and follow as
above.
From the west: Pennsylvania Turnpike to exit 28 (Philadelphia) and
follow signs for I95 North, crossing the Scudders Fall Bridge into New
Jersey. Take exit 7A (Rt. 206 South, Trenton). Rider is 1/4 mile on
your right.
*********
Weather
You should expect mild East coast fall weather between 65 and 75
degrees; cooler at night.
From owner-banach at littlewood.math.okstate.edu
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To: banach at littlewood.math.okstate.edu
Subject: Positions at Oklahoma State University
Reply-to: alspach at math.okstate.edu
Date: Thu, 19 Sep 1996 16:30:53 -0500
From: Alspach Dale <alspach at littlewood.math.okstate.edu>
Sender: owner-banach at littlewood.math.okstate.edu
Precedence: bulk
Below are two advertisements for positions at Oklahoma State.
The first is for tenure track and the second is for postdocs.
Dale Alspach
--------------
OKLAHOMA STATE UNIVERSITY
Department of Mathematics
Tenure-track or Tenured Positions
The Department invites nominations and applications for tenure-track
(assistant or associate professor level) or tenured (associate or full
professor level) positions beginning Fall, 1997. Tenure-track applicants
should have demonstrated outstanding research potential and have made
major contributions beyond their doctoral dissertation. Applicants for a
tenured position should have demonstrated outstanding leadership in
research. Duties include a blend of research and teaching and all
applicants should have a commitment to excellence in undergraduate and
graduate education; the usual teaching load is 5 or 6 hours each
semester. The Department has several research groups and preference will
be given to applicants with research interest related to one or more of
these groups.
Tenure-track Positions. Applicants should submit a curriculum vitae,
abstracts of completed research, and a statement regarding teaching
experience and philosophy and have four letters of recommendation sent to
the address below. One letter of recommendation should address the
applicant's teaching experiences. Applicants for a tenure-track position
are responsible for having letters of recommendation sent to the Department.
Tenured Positions. Applicants should submit a resume, a curriculum vitae
including a list of publications, abstracts of selected completed
research, a statement regarding educational philosophy, and the names and
addresses of three individuals who may be contacted for recommendations.
Letters of recommendation for individuals applying for only a tenured
position do not need to be sent; the Department will solicit needed
letters of recommendation.
Oklahoma State University is located in Stillwater, a town of
approximately forty thousand in north central Oklahoma. The Department
boasts a very dynamic faculty with over 40 members successfully engaged
in mathematics research and education. An active Ph.D. program, support
for colloquium speakers and other visitors, approximately 6-8
postdoctoral fellows, as well as, involvement of undergraduates in
research experiences add to the lively and scholarly atmosphere of the
Department. The Department has received national recognition for the
research of its faculty and for the faculty's contributions to
mathematics education. More information on the Department and University
can be obtained through its web page, http://www.math.okstate.edu/.
Applicants should use the AMS standardized form: Academic Employment in
Mathematics, Application Cover Sheet, and indicate their subject area
using the AMS subject classification numbers.
Consideration of applications will begin 15 December, 1996; however, full
consideration will be given to all applications until the available
positions are filled. Application materials should be sent to the
address below. Electronic applications are encouraged and may be sent to
mathposition at math.okstate.edu. Oklahoma State University is an Equal
Opportunity/Affirmative Action Employer.
Professor William Jaco, Chair Electronically:
Appointments Committee mathposition at math.okstate.edu
Department of Mathematics
Oklahoma State University
Stillwater, OK 74078
- ----------------------------------------------
OKLAHOMA STATE UNIVERSITY
Department of Mathematics
Postdoctoral Positions
The Department invites applications for several temporary postdoctoral
positions beginning Fall, 1997. The positions are for new or recent
recipients of the Ph.D. and have an expected appointment term of two
years. Applications are welcome from individuals who have held
postdoctoral appointments; an appointment to one of these positions does
not exclude an individual from future consideration for a tenure-track
position. The duties incorporate a blend of research and teaching; the
usual teaching load is 5 or 6 hours each semester. Applicants should
submit a curriculum vitae, abstracts of completed research, and a
statement regarding teaching experience and philosophy and have four
letters of recommendation sent to the address below. One letter of
recommendation should address the applicant's teaching experiences.
Mathematicians with research interest close to a member of the regular
faculty will receive preference. Applicants should use the AMS
standardized form: Academic Employment in Mathematics, Application Cover
Sheet, and indicate their subject area using the AMS subject
classification numbers.
Oklahoma State University is located in Stillwater, a town of
approximately forty thousand in north central Oklahoma. The Department
boasts a very dynamic faculty with over 40 members successfully engaged
in mathematics research and education. An active Ph.D. program, support
for colloquium speakers and other visitors, approximately 6-8
postdoctoral fellows, as well as, involvement of undergraduates in
research experiences add to the lively and scholarly atmosphere of the
Department. The Department has received national recognition for the
research of its faculty and for the faculty's contributions to
mathematics education. More information on the Department and University
can be obtained through its web page, http://www.math.okstate.edu/.
Decisions will be made soon after 1 January, 1997; however, full
consideration will be given to applications until all positions are
filled. Application materials should be sent to the address below.
Electronic applications are encouraged and may be sent to
mathposition at math.okstate.edu. Oklahoma State University is an Equal
Opportunity/Affirmative Action Employer.
Professor William Jaco, Chair Electronically:
Appointments Committee mathposition at math.okstate.edu
Department of Mathematics
Oklahoma State University
Stillwater, OK 74078
From alspach Wed Oct 2 08:53:33 1996
To: banach
Subject: Abstract of a paper by Alexander Koldobsky
Content-Length: 1778
This is the abstract of the paper "Positive definite distributions
and subspaces of $L_{-p}$ with applications to stable processes" by
Alexander Koldobsky. 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
get banach koldobskypdd.tex
to: majordomo at littlewood.math.okstate.edu.
Abstract:We define embedding of an $n$-dimensional normed space into
$L_{-p},\ 0<p<n$ by extending analytically with respect to $p$ the
corresponding property of the classical $L_p$-spaces. The well-known
connection between embeddings into $L_p$ and positive definite
functions is extended to the case of negative $p$ by showing that a
normed space embeds in $L_{-p}$ if and only if $\|x\|^{-p}$ is a
positive definite distribution. Using this criterion, we generalize
the recent solutions to the 1938 Schoenberg's problems by proving that
the spaces $\ell_q^n,\ 2<q\le \infty$ embed in $L_{-p}$ if and only if
$p\in [n-3,n).$ We show that the technique of embedding in $L_{-p}$ can
be applied to stable processes in some situations where standard
methods do not work. As an example, we prove inequalities of
correlation type for the expectations of norms of stable vectors. In
particular, for every $p\in [n-3,n),$ $\Bbb E(\max_{i=1,...,n}
|X_i|^{-p}) \ge \Bbb E(\max_{i=1,...,n} |Y_i|^{-p}),$ where
$X_1,...,X_n$ and $Y_1,...,Y_n$ are jointly $q$-stable symmetric random
variables, $0<q\le 2,$ so that, for some $k\in \Bbb N,\ 1\le k <n,$ the
vectors $(X_1,...,X_k)$ and $(X_{k+1},...,X_n)$ have the same
distributions as $(Y_1,...,Y_k)$ and $(Y_{k+1},...,Y_n),$ respectively,
but $Y_i$ and $Y_j$ are independent for every choice of $1\le i\le
k,\ k+1\le j\le n.$
File Length: 44644 bytes
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To: banach at littlewood.math.okstate.edu
Subject: Abstract of a paper by Alexander Koldobsky
Date: Wed, 02 Oct 1996 11:32:08 -0500
From: Alspach Dale <alspach at littlewood.math.okstate.edu>
Sender: owner-banach at littlewood.math.okstate.edu
Precedence: bulk
This is the abstract of the paper "Positive definite distributions
and subspaces of $L_{-p}$ with applications to stable processes" by
Alexander Koldobsky. 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
get banach koldobskypdd.tex
to: majordomo at littlewood.math.okstate.edu.
Abstract:We define embedding of an $n$-dimensional normed space into
$L_{-p},\ 0<p<n$ by extending analytically with respect to $p$ the
corresponding property of the classical $L_p$-spaces. The well-known
connection between embeddings into $L_p$ and positive definite
functions is extended to the case of negative $p$ by showing that a
normed space embeds in $L_{-p}$ if and only if $\|x\|^{-p}$ is a
positive definite distribution. Using this criterion, we generalize
the recent solutions to the 1938 Schoenberg's problems by proving that
the spaces $\ell_q^n,\ 2<q\le \infty$ embed in $L_{-p}$ if and only if
$p\in [n-3,n).$ We show that the technique of embedding in $L_{-p}$ can
be applied to stable processes in some situations where standard
methods do not work. As an example, we prove inequalities of
correlation type for the expectations of norms of stable vectors. In
particular, for every $p\in [n-3,n),$ $\Bbb E(\max_{i=1,...,n}
|X_i|^{-p}) \ge \Bbb E(\max_{i=1,...,n} |Y_i|^{-p}),$ where
$X_1,...,X_n$ and $Y_1,...,Y_n$ are jointly $q$-stable symmetric random
variables, $0<q\le 2,$ so that, for some $k\in \Bbb N,\ 1\le k <n,$ the
vectors $(X_1,...,X_k)$ and $(X_{k+1},...,X_n)$ have the same
distributions as $(Y_1,...,Y_k)$ and $(Y_{k+1},...,Y_n),$ respectively,
but $Y_i$ and $Y_j$ are independent for every choice of $1\le i\le
k,\ k+1\le j\le n.$
File Length: 44644 bytes
From alspach Tue Oct 8 15:37:06 1996
To: banach
Subject: Abstract of a paper by N. J. Kalton and A. Pelczynski
Content-Length: 1111
This is the abstract of the paper "Kernels of surjections from ${\cal
L}_1$-spaces with an application to Sidon sets" by N. J. Kalton and A.
Pelczynski. The paper is typed in LaTeX2e. The paper may be downloaded
from the bulletin board by ftp to ftp.math.okstate.edu or transmitting
the command
get banach kaltonpelczL1.latex
to: majordomo at littlewood.math.okstate.edu.
Abstract:If $Q$ is a surjection from $L^1(\mu)$, $\mu$
$\sigma$-finite, onto a Banach space containing $c_0$ then (*) $\ker Q$
is uncomplemented in its second dual. If $Q$ is a surjection from an
${\cal L}_1$-space onto a Banach space containing uniformly
$\ell_n^\infty$ ($n=1,2,\dots$) then (**) there exists a bounded linear
operator from $\ker Q$ into a Hilbert space which is not 2-absolutely
summing. Let $S$ be an infinite Sidon set in the dual group $\Gamma$
of a compact abelian group $G$. Then $L^1_{\tilde{S}}(G)=\{f\in
L^1(G): \hat{f}(\gamma)=0$ for $\gamma\in S\}$ satisfies (*) and (**)
hence $L^1_{\tilde{S}}(G)$ is not an ${\cal L}_1$-space and is not
isomorphic to a Banach lattice.
File Length: 75000 bytes
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To: banach at littlewood.math.okstate.edu
Subject: New email adresses at UTSA
Reply-to: koldobsk at sphere.math.utsa.edu
Date: Wed, 09 Oct 1996 14:04:05 -0500
From: Alspach Dale <alspach at littlewood.math.okstate.edu>
Sender: owner-banach at littlewood.math.okstate.edu
Precedence: bulk
Dear colleagues,
Our email addresses have changed. The new addresses are:
arias at math.utsa.edu
koldobsk at math.utsa.edu
Alvaro Arias, Alex Koldobsky
From alspach Thu Oct 10 10:48:14 1996
To: banach
Subject: Abstract of a paper by Denny H. Leung
Content-Length: 905
This is the abstract of the paper "Compact subsets of $\Ps(\N)$ with
applications to the embedding of symmetric sequence spaces into
$C(\alpha)$" by Denny H. Leung. 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
get banach leungcmpct.latex
to: majordomo at littlewood.math.okstate.edu.
Abstract:Let $\Ps(\N)$ be the set of all finite subsets of $\N$,
endowed with the product topology. A description of the compact subsets
of $\Ps(\N)$ is given. Two applications of this result to Banach space
theory are shown : (1) a characterization of the symmetric sequence
spaces which embed into $C(\om^\om)$, and (2) a characterization, in
terms of the Orlicz function $M$, of the Orlicz sequence spaces $h_M$
which embed into $C(K)$ for some countable compact Hausdorff space
$K$.
File Length: 77125 bytes
From alspach Mon Oct 14 13:52:09 1996
To: banach
Subject: Abstract of a paper by George Androulakis
Content-Length: 1271
This is the abstract of the paper "A subsequence characterization of
sequences spanning isomorphically polyhedral Banach spaces" by George
Androulakis. The paper is typed in LaTeX2e. The paper may be
downloaded from the bulletin board by ftp to ftp.math.okstate.edu or
transmitting the command
get banach androulakispoly.latex
to: majordomo at littlewood.math.okstate.edu.
Abstract:Let $(x_n)$ be a sequence in a Banach space $X$ which does
not converge in norm, and let $E$ be an isomorphically precisely
norming set for $X$ such that \[ \sum_n |x^*(x_{n+1}-x_n)|< \infty, \;
\forall x^* \in E. \qquad (*) \] Then there exists a subsequence of
$(x_n)$ which spans an isomorphically polyhedral Banach space. It
follows immediately from results of V. Fonf that the converse is also
true: If a separable Banach space $Y$ is a separable isomorphically
polyhedral then there exists a non norm convergent sequence $(x_n)$
which spans $Y$ and there exists an isomorphically precisely norming
set $E$ for $Y$ such that $(*)$ is satisfied. As an application of this
subsequence characterization of sequences spanning isomorphically
polyhedral Banach spaces we obtain a strengthening of a result of J.
Elton, and an Orlicz-Pettis type result.
File Length: 54518 bytes
From alspach Mon Oct 14 13:55:20 1996
To: banach
Subject: Abstract of a paper by George Androulakis
Content-Length: 937
This is the abstract of the paper "A counterexample to a question of
Haydon, Odell and Rosenthal" by George Androulakis. The paper is typed
in LaTeX209. The paper may be downloaded from the bulletin board by ftp
to ftp.math.okstate.edu or transmitting the command
get banach androulakiscntrex.latex
to: majordomo at littlewood.math.okstate.edu.
Abstract:We give an example of a compact metric space $K$, an open
dense subset $U$ of $K$, and a sequence $(f_n)$ in $C(K)$ which is
pointwise convergent to a non-continuous function on $K$, such that for
every $u \in U$ there exists $n \in \N$ with $f_n(u)=f_m(u)$ for all $m
\geq n$, yet $(f_n)$ is equivalent to the unit vector basis of the
James quasi-reflexive space of order 1. Thus $c_0$ does not embed
isomorphically in the closed linear span $[f_n]$ of $(f_n)$. This
answers in negative a question asked by H. Haydon, E. Odell and H.
Rosenthal.
File Length: 13717 bytes
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Reply-to: Fernando Sanchez <fsanchez at unex.es>
MMDF-Warning: Unable to confirm address in preceding line at hardy.math.okstate.edu
To: banach at littlewood.math.okstate.edu
Date: Wed, 16 Oct 1996 09:02:02 -0500
From: Alspach Dale <alspach at littlewood.math.okstate.edu>
Sender: owner-banach at littlewood.math.okstate.edu
Precedence: bulk
II CONGRESO
Ejemplos y contraejemplos en
espacios de Banach
Universidad de Extremadura, Badajoz (Spain)
6, 7 y 8 de Noviembre de 1996
- ------------------------------------------------------------------------
MIERCOLES, 6 de NOVIEMBRE
Rafael Paya (Univ. de Granada)
Operadores que alcanzan la norma versus formas bilineales
Brahim Boussouis (Univ. Sidi Mohamed ben Abdelah)
Titulo sin confirmar
Carlos Benitez (Univ. de Extremadura)
Normas de polinomios en espacios normados
Pilar Cembranos (Univ. Complutense de Madrid)
c_0, l_1 y l_infty en espacios de funciones
Marilda A. Simoes (Univ. La Sapienza)
Sobre espacios c_0 saturados
JUEVES, 7 de NOVIEMBRE
Angel Rodriguez Palacios (Univ. de Granada)
El problema de la extension de la norma: resultados y limitaciones
Felix Cabello (Univ. de Extremadura)
Una norma imposible (pero equivalente) sobre C[0,1]
Pier Luigi Papini (Univ. de Bologna)
Espacios debilmente uniformemente convexos de Calder
Jose Maria M. Ansemil (Univ. Complutense)
Espacios de polinomios casi normables
Juan Carlos Diaz (Univ. de Cordoba)
Polinomios y formas multilineales sobre espacios isomorfos a su cuadrado
Raquel Gonzalo (Univ. Complutense)
Polinomios (y estimaciones) en espacios de Banach
VIERNES, 8 de NOVIEMBRE
David Yost (Univ. de Lyon)
Sobre el espacio de Johnson-Lindenstrauss
Jesus M.F. Castillo (Univ. de Extremadura)
No lineal, no continuo, no convexo
(y sin embargo... en la teoria de espacios de Banach)
Manuel Gonzalez (Univ. de Cantabria)
Cocientes de L_1[0,1] por subespacios reflexivos
- ---------------------------------------------------------------------------
Para cualquier aspecto relativo al congreso dirigirse a:
Jesus M.F. Castillo
Depto. de Matematicas. Universidad de Extremadura
Avda. de Elvas s/n
06071 Badajoz (Spain)
Telefono: 34-24-289563
Fax: 34-24-272911
e-mail: castillo at ba.unex.es
From alspach Thu Oct 17 12:38:39 1996
To: banach
Subject: Abstract of a paper by Dale E. Alspach
Content-Length: 1063
This is the abstract of the paper "Operators on $C(\omega^\alpha)$
which do not preserve $C(\omega^\alpha)$" by Dale E. Alspach. 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
get banach alspachcwa.latex
to: majordomo at littlewood.math.okstate.edu.
Abstract:It is shown that if $\alpha ,\zeta $ are ordinals such that
$1\leq \zeta <\alpha <\zeta \omega ,$ then there is an operator from
$C(\omega ^{\omega ^\alpha })$ onto itself such that if $Y$ is a
subspace of $C(\omega ^{\omega ^\alpha })$ which is isomorphic to
$C(\omega ^{\omega ^\alpha })$ $,$ then the operator is not an
isomorphism on $Y.$ This contrasts with a result of J. Bourgain that
implies that there are uncountably many ordinals $\alpha $ for which
any operator from $C(\omega ^{\omega ^\alpha })$ onto itself there is a
subspace of $C(\omega ^{\omega ^\alpha })$ which is isomorphic to $%
C(\omega ^{\omega ^\alpha })$ on which the operator is an isomorphism.
File Length: 63114 bytes
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To: banach at littlewood.math.okstate.edu
Reply-to: Elias Saab <elias at math.missouri.edu>
Subject: Postions at U. of Missouri
Date: Sun, 20 Oct 1996 19:50:27 -0500
From: Alspach Dale <alspach at littlewood.math.okstate.edu>
Sender: owner-banach at littlewood.math.okstate.edu
Precedence: bulk
University of Missouri-Columbia
Department of Mathematics
Columbia, MO 65211
TEN POSITIONS AVAILABLE STARTING IN FS97
Our department is now in the last stage of completing its enhancement
program. In the last three years, we have successfully hired 11
outstanding young faculty members in competition with some of the best
departments in the country. We have created several postdoctoral positions
and several graduate fellowships. Salary increases for our department
averaged between 6.5% to 9% during the last three years. To join this
successful department, you are invited to apply for a tenured or
tenured-track position at the Associate Professor level or to one of our
seven (7) postdoctoral positions beginning August 1997. The Associate
Professor position requires a Ph.D. in Mathematics, six to seven years
experience after the Ph.D., quality teaching, and a distinguished research
record in Algebraic Geometry/Number Theory. The postdoctoral positions
will be in the three enhanced areas which include Modern Analysis/Harmonic
Analysis, Algebra/Algebraic Geometry and Mathematical Physics for a period
of one to three years. Applicants for the postdoctoral positions should
have received their Ph.D. in 1995 or after. Send a curriculum vitae along
with a letter of application, a completed AMS Standard Cover Sheet, and
arrange for three letters of recommendation to be sent to: Elias Saab,
Chair, at the address above. The application deadline is January 31, 1997,
or until the positions are filled thereafter. Applications after February
28, 1997, will not be guaranteed consideration. See also our add for two
assistant professors at the advanced assistant professor level by visiting
our homepage at http://math.missouri.edu. For more information about our
department, please read our recent newsletter at
http://math.missouri.edu/~news/issue1/front.html AA/EEO.
Elias Saab, Chair
Department of Mathematics
202 Math Science Building
University of Missouri-Columbia
Columbia, MO 65211
Phone: 573-882-0635 (Office)
573-445-5449 (Home)
Fax: 573-882-1869
e-mail elias at math.missouri.edu
http://math.missouri.edu/~elias
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To: banach at littlewood.math.okstate.edu
Subject: Publication announcement: lecture notes on Banach spaces and integration
Date: Fri, 22 Nov 1996 15:12:01 -0600
From: Alspach Dale <alspach at littlewood.math.okstate.edu>
Sender: owner-banach at littlewood.math.okstate.edu
Precedence: bulk
THIS IS A CORRECTED VERSION OF THE ACTUAL DISTRIBUTED MESSAGE:
\magnification=\magstep1
\input amstex\documentstyle{amsppt}
\parindent=0pt
\NoBlackBoxes
\NoPageNumbers
\font\poc=cmtex10
\rightline{Prague, December 20, 1996}
\medskip
\noindent
\centerline{The publishing house }
\centerline{{\bf MATFYZPRESS\/} of the {\bf FACULTY OF MATHEMATICS AND
PHYSICS\/}}
\centerline{\bf CHARLES UNIVERSITY, PRAGUE, CZECH REPUBLIC}
\centerline{has recently published the following lecture notes:}
\bigskip
\centerline{\bf MEASURE AND INTEGRAL}
\centerline{\it by}
\centerline{\bf Jaroslav Luke\v s and Jan Mal\'y}
\medskip
{\eightpoint
\centerline{(pp. 178, ISBN 80-85863-06-5)}
}
\item{}\ The introductory part, where the
abstract theory of measure and integral is discussed, is followed by a
chapter on integration in locally compact spaces. This culminates with
the Riesz representation theorem. A brief introduction to measure
theory on groups (Haar measure) is appended to this chapter. The study
on integration on the real line contains the Lebesgue differentiation
theorem and the Henstock-Kurzweil integral. From the topics on measure
and integration on $\bold R^n$, the covering theorems, differentiation of
measures, density topology and approximately continuous functions are
included. New proofs of the Rademacher and Besicovitch theorems are
presented. A part of the book is devoted to the study of the theory of
distributions, Fourier transform, approximation in function spaces and
degree theory. The presentation on the line and surface integral is
based on $k$-dimensional measure (possibly Hausdorff measure) and
change of variables for Lipschitz surfaces. The chapter proceeds from an
elementary approach (gradient, divergence, rotation) to more advanced
one (differential forms on manifolds). The book finishes with the theory of
integration of Banach space valued functions, where the Bochner, Pettis
and Dunford integrals are discussed. Each chapter contains notes and
remarks. An ample list of references is included at the end of the
book. The text is intended for graduate and senior undergraduate
students and young researchers.
\medskip
\centerline{\bf INTRODUCTION TO BANACH SPACES I , II}
\centerline{\it by}
\centerline{\bf Petr Habala, Petr H\'ajek and V\'aclav Zizler}
\medskip
{\eightpoint
\centerline{(pp. 329, ISBN:80-85863-14-6)}
}
\item{}\ The first chapters of this two volume text
contain an up-to-date elementary and
self-contained introduction to the basic principles and techniques in Banach
and Hilbert spaces,
spectral theory of selfadjoint compact operators and fixed points.
Besides the results that are usually presented in this area, the book
contains a study on the James boundaries and the results of Asplund, Kadets,
Lindenstrauss and \v Smulyan on the interplay of the differentiability of
convex functions and geometry of Banach spaces. In the chapter on locally
convex spaces, Banach-Dieudonn\'e theorem, Eberlein-\v Smulyan theorem and
Choquet
representation theorem are included.
The second part of the text leads the reader to several
streams of contemporary research in Banach spaces and analysis on them.
One chapter is devoted to the use
of the Schauder basis in Banach spaces. Nonseparable Banach spaces are studied
in the chapter on weak compact generating, where basic results on
projectional resolutions of identity, Marku\v sevi\v c bases and
various types of Corson compacta are discussed. The chapter on superreflexive
spaces contains Enflo's renorming theorem, the local reflexivity principle and
the results of Kadets and Gurarii - Gurarii.
The second volume of the text ends with a chapter on nonlinear analysis on Banach
spaces. It contains the Aharoni, Heinrich, Kadets, Lindenstrauss
and Mankiewicz
results on homeomorphisms and Lipschitz homeomorphisms of Banach spaces,
together with a
brief discussion on the smooth variational principle, smooth approximation
in Banach spaces and norm attaining operators. An important part of the
book is the large number of exercises. They complement the results in
chapters and are all accompanied with detailed hints for their solution.
The text is intended for graduate and senior undergraduate students and
young researchers.
\medskip
\centerline{************************************************************}
More information on these books can be found on
\centerline{\poc http://www.karlin.mff.cuni.cz/katedry/kma/ss/ss.htm}
The price of the Luke\v s-Mal\'y book is US \$ 37.00 and the price of
Habala-H\'ajek-Zizler book
(both volumes together) is US \$ 47.00. Please add US \$ 8.00
(European countries) or US \$ 12.00
(other countries) for packing and postage of each of the texts by air mail
(both volumes of the second text together).
\medskip
To purchase any one of these texts please
1. Order the book(s) at the e mail address:
\medskip
books\ at karlin.mff.cuni.cz
\medskip
2. Ask your bank to write a money order to the name:
\medskip
Helena Pistekova, Faculty of Mathematics and Physics
\medskip
3. Mail the money order to the following address:
\medskip
Mrs. Helena Pistekova
Secretary of the Department of Mathematical Analysis
Faculty of Mathematics and Physics, Charles University
Sokolovsk\'a 83
18600 Praha 8
Prague
Czech Republic
\medskip
As soon as we receive your money order, we will send you the book(s)
together with
the receipt for your total payment for the book(s).
\medskip
\rightline{Sincerely,}
\medskip
\rightline{V\'aclav Zizler}
\rightline{Department of Mathematical Analysis}
\rightline{Faculty of Mathematics and Physics}
\rightline{Charles University}
\rightline{Sokolovsk\'a 83, 18600 Prague}
\rightline{Czech Republic}
\medskip
\rightline{e-mail: vzizler\ at vega.math.ualberta.ca}
\bye
--
Vaclav Zizler University of Alberta, Dept. of Math
vzizler at vega.math.ualberta.ca
From owner-banach at littlewood.math.okstate.edu
Received: from littlewood.math.okstate.edu by moebius.hardy.math.okstate.edu
id aa11145; 10 Dec 96 11:24 CST
Received: from littlewood.math.okstate.edu by littlewood.math.okstate.edu
id aa16943; 10 Dec 96 10:30 CST
Received: from littlewood.math.okstate.edu by littlewood.math.okstate.edu
id aa16836; 10 Dec 96 10:15 CST
To: banach at littlewood.math.okstate.edu
Subject: Chair Position at Oakland University
Reply-to: "Kevin T. Andrews" <andrews at oakland.edu>
Date: Tue, 10 Dec 1996 10:15:27 -0600
From: Alspach Dale <alspach at littlewood.math.okstate.edu>
Sender: owner-banach at littlewood.math.okstate.edu
Precedence: bulk
Applications and nominations are invited for the position of Chairperson
of the Department of Mathematical Sciences, College of Arts and Sciences,
Oakland University starting August 15, 1997.
The Department of Mathematical Sciences is looking for an individual who
will lead the implementation of its recently approved Ph. D. program in
Applied Mathematical Sciences as well one who will foster the other
missions of the Department. The Ph. D. program has concentrations in
applied continuous mathematics, applied discrete mathematics, and applied
statistics, with emphasis on industrial applications and collaboration.
The Department has research and graduate education contracts and
collaborative projects with major firms, such as the Ford Motor Company,
the General Motors Corporation, and Electronic Data Systems, and seeks to
increase this activity in support of the Ph. D. program. The Department
also offers baccalaureate degrees in mathematics and statistics and
masters degrees in mathematics, industrial applied mathematics, and
applied statistics.
The Department of Mathematical Sciences has 26 full-time faculty members
who have a strong record in research and maintain a high level of
scholarly activity. The standard teaching load for regular faculty is two
courses per semester. The research strengths of the Department encompass
many of the classical areas of pure and applied mathematical sciences.
There is significant collaboration among faculty within the Department and
with faculty in Engineering and other areas. In addition to its own
graduate and undergraduate programs, the Department serves graduate and
undergraduate students in all the institution's professional schools:
Business Administration, Education and Human Services, Engineering and
Computer Science, Health Sciences, and Nursing. Further information about
the Department can be obtained at its web site
http://www.acs.oakland.edu/links/math/.
Oakland University is a vital, growing public institution of nearly 14,000
students, offering baccalaureate, masters, and doctoral programs. Located
in Oakland County, one of the most vibrant suburban areas in the country,
on 1500 park-like acres, the university is adjacent to the Oakland
Technology Park which houses the Chrysler Corporation World Headquarters
and Technology Center as well as research and development facilities of
several leading companies involved in computers, data processing, and
robotics. Oakland County is well known for its diversity of culture and
quality of life and is home to over 500 multinational corporations.
The Chairperson is appointed for a three-year, renewable term. Candidates
must have an earned Ph. D. in a mathematical science and significant
post-Ph. D. academic experience in the mathematical sciences or comparable
activity. They must have a substantial research record and an active
commitment to research. Candidates must have a strong commitment to
quality instruction and the ability to foster the development of
innovative and effective teaching including a willingness to explore the
ways to integrate technology into instruction. They must also have
demonstrated experience in various academic or professional leadership
positions and the ability to interact effectively with the various
components of an academic community. The academic record must justify
appointment at the rank of Professor in the Department of Mathematical
Sciences with tenure.
An applicant should submit a curriculum vitae and the names, addresses,
and telephone numbers of at least three references. Please send
nominations and applications to: Darrell Schmidt, Chairperson Search
Committee, Department of Mathematical Sciences, Oakland University,
Rochester, Michigan 48309-4401. [Phone: (810) 370-3433, Email:
schmidt at oakland.edu]. Application review will begin on February 1, 1997,
and will continue until a successful candidate is identified.
Oakland University is an Affirmative Action and Equal Opportunity
Employer. The search committee especially encourages women and minorities
to apply.
Kevin T. Andrews
Department of Mathematical Sciences
Oakland University
Rochester MI 48309-4401
Voice: (810)370-4025 FAX: (810)370-4184
e-mail: andrews at oakland.edu
From alspach Sat Dec 28 09:15:33 1996
To: banach
Subject: Abstract of a paper by W. B. Johnson
Content-Length: 613
This is the abstract of the paper "Extensions of $c_0$" by W. B.
Johnson. 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
get banach johnsonextczero.tex
to: majordomo at littlewood.math.okstate.edu.
Abstract:If $X$ is a closed subspace of a Banach space $L$ which
embeds into a Banach lattice not containing $\ell_\infty^n$'s uniformly
and $L/X$ contains $\ell_\infty^n$'s uniformly, then $X$ cannot have
local unconditional structure in the sense of Gordon-Lewis (GL-{\sl
l.u.st.}).
File Length: 62397 bytes
From alspach Thu Jan 2 10:57:52 1997
To: banach
Subject: Abstract of a paper by S. Saccone
Content-Length: 1028
This is the abstract of the paper "The Pelczynski property for tight
subspaces" by S. Saccone. 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
get banach ssacconetight.tex
to: majordomo at littlewood.math.okstate.edu.
Abstract:We show that if X is a tight subspace of C(K) then X has the
Pelczynski property and X^* is weakly sequentially complete. We apply
this result to the space U of uniformly convergent Taylor series on the
unit circle and using a minimal amount of Fourier theory prove a
theorem of Bourgain, namely that U has the Pelczynski property and U^*
is weakly sequentially complete. Using separate methods, we prove U and
U^* have the Dunford-Pettis property. Some results concerning pointwise
bounded approximation are proved for tight uniform algebras. We use
tightness and the Pelczynski property sto make a remark about inner
functions on strictly pseudoconvex domains in C^n.
File Length: 93444 bytes
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