Messages from 1998
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To: banach at littlewood.math.okstate.edu
cc: drm at math.duke.edu
Subject: Forthcoming changes
Date: Fri, 02 Jan 1998 09:03:42 -0600
From: Alspach Dale <alspach at littlewood.math.okstate.edu>
Sender: owner-banach at littlewood.math.okstate.edu
Precedence: bulk
Dear Banach space BBS subscribers,
There is a move to consolidate several of the preprint servers into one
mathematics server. Under this arrangement the current contents of the
Banach space archive will be included in the archive at Los Alamos,
http://xxx.lanl.gov/new/math.html
The complete details are not yet available, but I intend to maintain an
interface as before with links into the new archive. Preprint submission
will change and preprints will be available in multiple forms, TeX, pdf,
and postscript. The archive will be mirrored and preprints will be more
widely circulated. When the details are more complete, I will send out
further information.
The target date for the change is February 1, 1998.
IF YOU DO NOT WANT YOUR PREPRINTS ON THE CURRENT SERVER
TO BE AVAILABLE ON THE NEW SERVER, SEND ME
A MESSAGE BEFORE JANUARY 25, 1998 STATING THAT YOU WANT THE PREPRINT WITHDRAWN.
Dale Alspach
*********************************************************************
Email: alspach at math.okstate.edu
Post:
Oklahoma State University
Department of Mathematics
401 Math Science
Stillwater, OK 74078-1058 USA
Telephone: 405-744-5784
FAX: 405-744-8275
*********************************************************************
From alspach Fri Jan 2 11:41:31 1998
To: banach
Subject: Abstract of a paper by S.A. Argyros and V. Felouzis
Content-Length: 775
This is the abstract of the paper "Interpolating hereditarily
indecomposable Banach spaces" by S.A. Argyros and V. Felouzis. The
paper is typed in LaTeX2e. There are some problems with the laTeX so the
postscript file is also available. The paper may be downloaded from the
bulletin board by ftp to ftp.math.okstate.edu or transmitting the
command
get banach argyrosfelouzisintrphi.latex
or
get banach argyrosfelouzisintrphi.ps
to: majordomo at littlewood.math.okstate.edu.
Abstract:It is shown that every Banach space either contains $\ell ^1$
or it has an infinite dimensional closed subspace which is a quotient
of a H.I. Banach space.Further on, $L^p(\lambda )$, $1<p<\infty $, is
a quotient of a H.I Banach space.
File Length: 235187 bytes, 614948 bytes
From alspach Mon Jan 19 15:22:25 1998
To: banach
Subject: Abstract of a paper by M. Meyer and E. Werner
Content-Length: 648
This is the abstract of the paper "On the p-affine surface area" by M.
Meyer and E. Werner. The paper is typed in LaTeX2e. The paper may be
downloaded from the bulletin board by ftp to ftp.math.okstate.edu or
transmitting the command
get banach meyerwern2.latex
to: majordomo at littlewood.math.okstate.edu.
Abstract:We give geometric interpretations of certain affine
invariants of convex bodies. The affine invariants are the p-affine
surface areas introduced by Lutwak. The geometric interpretations
involve generalizations of the Santal${\mbox{\'o}}$-bodies introduced
by the authors in a previous paper.
File Length: 112130 bytes
From alspach Tue Jan 27 15:28:28 1998
To: banach
Subject: Abstract of a paper by Denka Kutzarova
Content-Length: 607
This is the abstract of the paper "Remarks about Schlumprecht space" by
Denka Kutzarova. 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 kutzarremschl.latex
to: majordomo at littlewood.math.okstate.edu.
Abstract:We prove that Schlumprecht space $S$ is isomorphic to $(
\sum_{k=1}^\infty \oplus \ell_infty ^{n_k} )_S $ for any sequence of
integers $(n_k)$. We also show that every complemented subspace of $S$
which has some subsymmetric basis, is isomorphic to $S$.
File Length: 16803 bytes
From alspach Fri Feb 6 09:40:32 1998
To: banach
Subject: Abstract of a paper by F. Barthe, M. Fradelizi and B. Maurey
Content-Length: 594
This is the abstract of the paper "Elementary solution to the
Busemann-Petty problem" by F. Barthe, M. Fradelizi and B. Maurey. 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 barthefradmaureyBP.latex
to: majordomo at littlewood.math.okstate.edu.
Abstract:A unified analytic solution to the Busemann-Petty problem was
recently found by Gardner, Koldobsky and Schlumprecht.
We give an elementary proof of their formulas for the inverse Radon
transform.
File Length: 10193 bytes
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Subject: INFORMAL ANALYSIS SEMINAR at KENT STATE UNIVERSITY
To: banach at littlewood.math.okstate.edu
Date: Mon, 09 Feb 1998 14:37:04 -0600
From: Alspach Dale <alspach at littlewood.math.okstate.edu>
Sender: owner-banach at littlewood.math.okstate.edu
Precedence: bulk
INFORMAL ANALYSIS SEMINAR at KENT STATE UNIVERSITY
FRIDAY AND SATURDAY, MARCH 6 - 7, 1998
This will be a special meeting, with an emphasis on
Hypercyclic Operators and also, somewhat
prematurely, to celebrate St. Patrick's Day.
The following are among confirmed participants:
Juan Bes (Kent State), Kit Chan (Bowling Green), Per Enflo (Kent),
Eva Gallardo (Seville), Fernando Leon (Seville), Ali Mahvidi (Toronto),
Chris Lennard (Pittsburgh), Victor Lomonosov (Kent),
Len Miller (Mississippi State), Alfonso Montes (Seville),
Alfredo Peris (Valencia), Peter Rosenthal (Toronto),
Hector Salas (Puerto Rico), Joel Shapiro (Michigan State),
Angela Spalsbury (Kent State), and Ilya Spitkovsky (Williamsburg)\\
Information on this meeting can also be
found at our website: www.mcs.kent.edu/~tonge/hypercyclic.html
From alspach Tue Feb 10 11:09:42 1998
To: banach
Subject: Abstract of a paper by V. Farmaki
Content-Length: 2547
This is the abstract of the paper "Ramsey dichotomies with ordinal
index" by V. Farmaki. 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 command
get banach farmakirmsydichot.tex
to: majordomo at littlewood.math.okstate.edu.
Abstract:A system of uniform families on an infinite subset $M$ of
$\nn$ is a collection $(\cca_{\xi})_{\xi<\omega_1}$ of families of
finite subsets of $\nn$ (where, $\cca_k$ consists of all $k$--element
subset of $M$, for $k\in \nn$) with the properties that each
$\cca_{\xi}$ is thin (i.e. it does not contain proper initial segments
of any of its element) and the Cantor--Bendixson index, defined for
$\cca_{\xi}$, is equal to $\xi+1$ and stable when we restrict ourselves
to any subset of $M$. We indicate how to extend the generalized
Schreier families to a system of uniform families.
Using that notion we establish the correct (countable) ordinal index
generalization of the classical Ramsey theorem (which corresponds to
the finite ordinal indices). Indeed, for a family $\ccf$ of finite
subsets of $\nn$, we obtain the following: \begin{enumerate} \item
[(i)] For every infinite subset $M$ of $\nn$ and every countable
ordinal $\xi$, there is an infinite subset $L$ of $M$ such that either
$\cca_{\xi}\cap [L]^{<\omega}\subseteq\ccf$ or $\cca_{\xi}\cap
[L]^{<\omega}\subseteq [\nn]^{<\omega}\smallsetminus\ccf$;\\ (where
$[L]^{<\omega}$ denotes the family of all finite subsets of $L$).
\item [(ii)] If, in addition $\ccf$ is hereditary and pointwise closed,
then for every infinite subset $M$ of $\nn$ there is a countable
ordinal number $\xi$ such that: \begin{enumerate} \item [(a)] For
every ordinal number $\zeta$ with $\zeta+1<\xi$ there is an infinite
subset $L$ of $M$ such that $\cca_{\xi}\cap
[L]^{<\omega}\subseteq\ccf$. \item [(b)] For every ordinal number
$\zeta$ with $\xi<\zeta+1$ there is an infinite subset $L$ of $M$ such
that $\ccf\cap [L]^{<\omega}\subseteq (\cca_{\zeta})^{*}\smallsetminus
\cca_{\zeta}$; which gives $\cca_{\xi}\cap [L]^{<\omega}\subseteq
[\nn]^{<\omega}\smallsetminus\ccf$;\\ (where generally $\cca^{*}$
denotes the family of all initial segments of elements of $\cca$).
\item [(c)] For $\zeta=\xi+1$, both alternatives ((a) and (b)) may
materialize. \end{enumerate} \item [(iii)] If $\ccf$ is hereditary,
then $\ccf$ is not closed if and only if there is an infinite subset
$M$ of $\nn$ such that $[M]^{<\omega}\subseteq \ccf$. \end{enumerate}
File Length: 78546 bytes
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To: banach at littlewood.math.okstate.edu
Subject: Address change for Frank Oertel
Date: Wed, 25 Feb 1998 14:28:13 -0600
From: Alspach Dale <alspach at littlewood.math.okstate.edu>
Sender: owner-banach at littlewood.math.okstate.edu
Precedence: bulk
Dear Colleagues,
Please note my new (university-)address which I am going to submit to you,
using the WWW-sheet of the BBS; I am no longer working at Swiss
Re.
Frank Oertel
######################################################################
## Dr. Frank Oertel ##
## Department of Statistics ##
## University of Bonn ##
## Adenauerallee 24-42 ##
## D-53113 Bonn ##
## GERMANY ##
## e-mail: oertel at addi.finasto.uni-bonn.de ##
## Tel.: +49-228-739270 ##
## Fax.: +49-228-735050 ##
######################################################################
From alspach Mon Mar 9 12:57:24 1998
To: banach
Subject: Abstract of a paper by H. Rosenthal
Content-Length: 1510
This is the abstract of the paper "The complete separable extension
property" by H. 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 rosenthalcomplete.tex
to: majordomo at littlewood.math.okstate.edu.
Abstract:This work introduces operator space analogues of the
Separable Extension Property (SEP) for Banach spaces; the Complete
Separable Extension Property (CSEP) and the Complete Separable
Complemention Property (CSCP). The results use the technique of a new
proof of Sobczyk's Theorem, which also yields new results for the SEP
in the non-separable situation, e.g., $(\oplus_{n=1}^\infty Z_n)_{c_0}$
has the $(2+\ep)$-SEP for all $\ep>0$ if $Z_1,Z_2,\ldots$ have the
1-SEP; in particular, $c_0 (\ell^\infty)$ has the SEP. It is proved
that e.g., $c_0(\bR\oplus\bC)$ has the CSEP (where $\bR$, $\bC$ denote
Row, Column space respectively) as a consequence of the general
principle: if $Z_1,Z_2,\ldots$ is a uniformly exact sequence of
injective operator spaces, then $(\oplus_{n=1}^\infty Z_n)_{c_0}$ has
the CSEP. Similarly, e.g., $\bK_0 \defeq (\oplus_{n=1}^\infty
M_n)_{c_0}$ has the CSCP, due to the general principle:
$(\oplus_{n=1}^\infty Z_n)_{c_0}$ has the CSCP if $Z_1,Z_2,\ldots$ are
injective separable operator spaces. Further structural results are
obtained for these properties, and several open problems and
conjectures are discussed.
File Length: 118843 bytes
From alspach Mon Mar 9 13:08:08 1998
To: banach
Subject: Abstract of a paper by P.G. Casazza and M.C. Lammers
Content-Length: 781
This is the abstract of the paper "Genus n Banach spaces" by P.G.
Casazza and M.C. Lammers. 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 casazzalammersgen.latex
to: majordomo at littlewood.math.okstate.edu.
Abstract:We show that the classification problem for genus~$n$ Banach
spaces can be reduced to the unconditionally primary case and that the
critical case there is $n=2$. It is further shown that a genus~$n$
Banach space is unconditionally primary if and only if it contains a
complemented subspace of genus~$(n-1)$. We begin the process of
classifying the genus~2 spaces by showing they have a strong
decomposition property.
File Length: 46421 bytes
From alspach Mon Mar 9 13:12:46 1998
To: banach
Subject: Abstract of a paper by R. Vershynin
Content-Length: 863
This is the abstract of the paper "On constructions of strong and
uniformly minimal M-bases in Banach spaces" by R. Vershynin. 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 command
get banach vershyninstrmbases.latex
to: majordomo at littlewood.math.okstate.edu.
Abstract:We find a natural class of transformations ("flattened
perturbations") of a norming M-basis in a Banach space $X$, which give
a strong norming M-basis in $X$. This simplifies and generalizes the
positive answer to the "strong M-basis problem" solved by P.~Terenzi.
We also show that in general one cannot achieve uniformly minimality
applying standard transformations to a given norming M-basis, despite
of the existence in $X$ a uniformly minimal strong M-bases.
File Length: 34685 bytes
From alspach Thu Mar 26 09:18:01 1998
To: banach
Subject: Abstract of a paper by George Androulakis, Peter G. Casazza, and Denka N. Kutzarova
Content-Length: 448
This is the abstract of the paper "Some more weak Hilbert spaces" by
George Androulakis, Peter G. Casazza, and Denka N. Kutzarova. 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 androulcaskutzwkhlbrt.latex
to: majordomo at littlewood.math.okstate.edu.
Abstract:We give new examples of weak Hilbert spaces.
File Length: 30854 bytes
From alspach Thu Mar 26 09:45:58 1998
To: banach
Subject: Abstract of a paper by P. Hitczenko and S. Montgomery-Smith
Content-Length: 752
This is the abstract of the paper "A note on sums of independent random
variables" by P. Hitczenko and S. Montgomery-Smith. 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 hitczmontsmithsumrand.tex
to: majordomo at littlewood.math.okstate.edu.
Abstract:In this note a two sided bound on the tail probability of
sums of independent, and either symmetric or nonnegative, random
variables is obtained. We utilize a recent result by Lata{\l}a on
bounds on moments of such sums. We also give a new proof of Lata{\l}a's
result for nonnegative random variables, and improve one of the
constants in his inequality.
File Length: 15143 bytes
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id aa19403; 31 Mar 98 11:01 CST
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To: banach at littlewood.math.okstate.edu
Subject: Announcement from George Anastassiou of a new journal
Date: Tue, 31 Mar 1998 09:31:36 -0600
From: Alspach Dale <alspach at littlewood.math.okstate.edu>
Sender: owner-banach at littlewood.math.okstate.edu
Precedence: bulk
COMPUTATIONAL ANALYSIS AND APPLICATIONS
A quarterly international publication of PLENUM publishing corporation.
EDITOR IN-CHIEF: GEORGE A ANASTASSIOU,Department of Mathematical
Sciences,The University of Memphis,Memphis,TN 38152,U.S.A.
Tel.no.'s 901-678-3144(office),901-678-2482(secretary),901-371-
9752(home),901-678-2480(Fax).
E-Mail:anastasg at hermes.msci.memphis.edu
SCOPE OF THE JOURNAL
The main purpose of "Computational Analysis and Applications" is
to publish high quality research articles from all subareas of
Computational Mathematical Analysis and its many potential
applications and connections to other areas of Mathematical Sciences.
Any paper whose approach and proofs are computational,using methods
from Mathematical Analysis in the broadest sense is suitable and
welcome for consideration in our journal,except from Applied Numerical
Analysis articles.The list of possibly connected mathematical areas
with this publication includes and is not restricted to:Applied
Analysis,Applied Functional Analysis,Approximation Theory,Asymptotic
Analysis,Difference Equations,Differential Equations,Partial
Differential Equations,Fourier Analysis,Fractals,Fuzzy Sets,Harmonic
Analysis,Inequalities,Integral Equations,Measure Theory,Moment Theory,
Neural Networks,Numerical Functional Analysis,Potential
Theory,Probability Theory,Real and Complex Analysis,Signal Analysis,
Special Functions,Splines,Stochastic Analysis,Stochastic Processes,
Summability,Tomography,Wavelets,any combination of the above,e.t.c.
Working Analytically and Computationally in Mathematical Sciences
has become a main trend in the last years,as well as mixing different
branches,so we can understand better and deeper the important and
complex problems of our real and scientific world.
"Computational Analysis and Applications" will be a peer-reviewed
Journal.
We are calling for papers for possible publication.
The contributor should send four copies of the contribution to the
editor in-Chief typed in TEX,LATEX double space.
Sincerely Yours
George Anastassiou
Computational Analysis And Applications
Editorial Board(short list)
G.Anastassiou(editor-in-chief and
assoc.editor)(Memphis),I.Argyros(Lawton,OK),M.Ash(Chicago),M.Balas
(Boulder),J.Bona(Austin),P.Butzer(Aachen-
Germany),L.Caffarelli(Austin),V.Corradi(Philadelphia),G.Cybenko
(Hanover,NH),Ding-Xuan Zhou(Hong Kong),S.Elaydi(San Antonio),
A.Esogbue(Atlanta),C.Floudas(Princeton),J.Goldstein(Memphis),
H.Gonska(Duisburg,Germany),J.Higgins(Cambridge,UK),
C.Houdre(Atlanta),M.Ismail(Tampa),J.Kemperman(New Brunswick,NJ),
B.Lenze(Dortmund,Germany),H.Mhaskar(Los Angeles),Z.Nashed
(Newark,DE),M.Nkashama(Birmingham,AL),C.Pearce(Adelaide,Australia),
J.Pecaric(Zagreb,Croatia),E.Rodin(St.Louis,MO),M.Tasche(Rostock,
Germany),G.Walter(Milwaukee),H.White(San Diego),
Xin-long Zhou(Duisburg,Germany),X.M.Yu(Springfield,MO).
Deadlines for Contributors:1st issue May 1st,2nd issue July 1st,
3rd issue September 1st,4rth issue November 1st,1998.
Instructions to Contributors(subject to possible minor changes)
1.Manuscripts,hard copies in quadruplicate and in English,should be
submitted to the Editor-in-Chief:
Prof.George A. Anastassiou
Department of Mathematical Sciences
The University of Memphis
Memphis,TN 38152
USA.
Authors may want to recommend an associate editor the most related
to the submission to possibly handle it.
Also authors may want to submit a list of six possible referees, to
be used in case we cannot find related referees by ourselves.
2.Manuscripts should be typed using any of TEX,LaTEX,AMS-TEX,or AMS-
LaTEX.They should be carefully prepared in all respects.Submitted
copies should be brightly printed(not dot-matrix) double space on one
side high quality paper 8(1/2)x11 inch.Manuscripts should have
generous margins on all sides and should not exceed 24 pages.
3.Submission is a representation that the manuscript has not been
published previously in this or any other similar form and is not
currently
under consideration for publication elsewhere.A statement transferring
from the authors(or their employers,if they hold the copyright) to
Plenum Publishing Corporation will be required before the manuscript
can be accepted for publication.The Editor-in-Chief will supply the
necessary forms for this transfer.Such a written transfer of
copyright,which previously was assumed to be implicit in the act of
submitting a manuscript,is necessary under the U.S.Copyright Law in
order for the publisher to carry through the dissemination of research
results and reviews as widely and effective as possible.
4.A title page is to be provided and should include the title of
the article,author's name(no degrees),author's
affiliation,appropriate 1991 Mathematics Subject Classification
numbers (as a first footnote),and suggested running head.The
affiliation should comprise the department,institution(usually
university or company),city,and state(or nation) and should be
displayed directly under the author's name.The suggested running head
should be less than 80 characters(including spaces) and should
comprise the article title or an abbreviated version thereof.For
office purposes,the title page should include the complete mailing
address,telephone number,fax number,and e-mail address of the
"contact" author.
5.An abstract is to be provided,preferably no longer than 150 words.
6.A list of 5 key words is to be provided directly below the
abstract.Key words should express the precise content of the
manuscript,as they are used for indexing purposes.
7.All sections should be numbered with Arabic numerals(such as
1.INTRODUCTION).Subsections should be identified with section and
subsection numbers(such as 6.1. Second-Value Subheading).If
applicable,an independent single-number system(one for each category)
should be used to label all theorems,lemmas,propositions,corrolaries,
definitions,remarks,examples,etc.The label(such as Lemma 7) should be
typed with paragraph indentation,followed by a period and the lemma
itself.
8.Mathematical notation should be typewritten wherever possible.
If handwritten notation must be used,it should be clear and
legible,with any necessary explanatory notes located in the margin.
Equations should be numbered consecutively with Arabic numerals in
parentheses placed flush right,and should be thusly referred to in the
text [such as Eqs.(2) and (5)].
9.Illustrations (photographs,drawings,diagrams,and charts) are to be
numbered in one consecutive series of Arabic numerals.The captions for
illustrations should be typed on a separate sheet of paper.All
illustrations must be complete and final,i.e.,camera ready.Photographs
should be large,glossy prints,showing high contrast.Drawings should
be high-quality laser prints or should be prepared with india ink.
Either original drawings or good-quality photographic prints are
acceptable.Artwork for each figure should be provided on a separate
sheet of paper.Identify figures on the back with author's name and
number of the illustration.
10.Tables should be numbered(with Roman numerals) and referred to by
number in the text.Each table should be typed on a separate sheet of
paper.Center the title above the table,and type explanatory footnotes
(indicated by superscript lowercase letters) below the table.
11.List references alphabetically at the end of the paper and number
them with numbers in square brackets, refer to them in the text by
the square bracketted numbers in parentheses.References should
include in the following order first name,middle name,last name of
authors,title of article in italics,name of publication,volume number,
year of publication in parenthesis,and inclusive pages.Authors should
follow the next examples:
Journal Article
[1] H.H.Gonska,"Degree of simultaneous approximation of bivariate
functions by Gordon operators",J.Approx.Theory,62(1990),170-191.
Book
[2]G.G.Lorentz(1986),"Bernstein Polynomials"(2nd
edition),Chelsea,New York.
Contribution to a book
[3]M.K.Khan,"Approximation properties of Beta operators",in:
Progress in Approximation Theory (ed.by P.Nevai and A.Pinkus),
New York:Academic Press (1991),483-495.
12.All acknowledgements (including those for a grant and financial
support)should be typed in one paragraph on a separate page that
directly precedes the References section.
13.Footnotes should be avoided.When their use is absolutely
necessary,footnotes should be numbered consecutively using Arabic
numerals and should be typed at the bottom of the page to which they
refer.Place a line above the footnote,so that it is set off from the
text.Use the appropriate superscript numeral for citation in the text.
14.After each revision is made please again submit four hard
copies of the revised manuscript,including in the final one.And after
a manuscript has been accepted for publication and with all revisions
incorporated,manuscripts should be submitted to the
Editor's Office also on personal-computer disks,3.5 inch size,in
dublicate.Label the disks with clearly written identifying
information such as:your
name,title of article,kind of computer used,kind of software and
version number,disk format and files names of article,as well as
abbreviated journal name.Package the disks in a disk mailer or
protective cardboard.Make sure contents of disks are identical
with the ones of final hard copies submitted!The Editor's Office
cannot accept the disks without the accompanying matching hard copies
of manuscript.No e-mail submissions are allowed!Disks will be used on
a case by case basis where efficient and feasible.
All the above described rules will be strictly applied to the
benefit of authors and journal.
15.The journal makes no page charges. Reprints are available to
authors,and order forms with the current price schedule are sent by
the Editor-in-Chief to the "contact" author of accepted papers.
16.This journal will consider for publication only papers that
contain proofs for their listed results.
Computational Analysis and Applications
Editorial Board
Editor -in-Chief
George A.Anastassiou
Mepartment of Mathematical Sciences
The University of Memphis
Memphis,TN 38152,U.S.A
Tel.901-678-3144
e-mail: anastasg at hermes.msci.memphis.edu
Associate Editors
1) George A.Anastassiou
Approximations,Real Analysis,Wavelets,Neural Networks,Probability,
Inequalities.
2) Ioannis Argyros
Department of Mathematical Sciences
Cameron University
Lawton,OK 73505
405-581-2908
ioannisa at cua.cameron.edu
Applied Functional Analysis,Fixed point Theory,Numerical
Functional Analysis.
3) Marshall J.Ash
Department of Mathematics
De Paul University
2219 North Kenmore Ave.
Chicago,IL 60614-3504
312-362-8000,ext 4216
mash at condor.depaul.edu
Real and Harmonic Analysis
4)Mark J.Balas
AES Department
University of Colorado
Boulder,CO 80309
303-492-3177
balas at stripe.colorado.edu
Control Theory,Nonlinear Systems,Neural Networks,Ordinary and
Partial Differential Equations,Functional Analysis and Operator Theory
5)Jerry L.Bona
Department of Mathematics
The University of Texas at Austin
Austin,Texas 78712-1082
512-471-7162,512-471-2157
bona at math.utexas,edu,bona at ticam.utexas.edu
Partial Differential Equations,Fluid Dynamics
6)Paul L.Butzer
Lehrstuhl A fur Mathematik
RWTH Aachen
52056 Aachen,Germany
011-49-241-72833
Butzer at RWTH-Aachen.de
Approximation Theory,Sampling Theory,Semigroups of Operators,
Signal Theory
7)Luis A.Caffarelli
Department of Mathematics
The University of Texas at Austin
Austin,Texas 78712-1082
512-471-3160
caffareli at math.utexas.edu
Partial Differential Equations
8)Valentina Corradi
Department of Economics
University of Pennsylvania
Philadelphia,PA 19104
215-898-1505
corradi at econ.sas.upenn.edu
Econometric Theory,Neural Networks and Approximation
Theory,Stochastic Processes
9)George Cybenko
Thayer School of Engineering
Dartmouth College
8000 Cummings Hall,
Hanover,NH 03755-8000
603-646-2238
gvc at witness.dartmouth.EDU
Approximation Theory and Neural Networks
10)Ding-Xuan Zhou
Department Of Mathematics
City University of Hong Kong
83 Tat Chee Avenue
Kowloon,Hong Kong
mazhou at cityu.edu.hk
Approximation Theory,Spline functions,Wavelets
11)Saber N.Elaydi
Department Of Mathematics
Trinity University
715 Stadium Dr.
San Antonio,TX 78212-7200
210-736-8246
selaydi at trinity.edu
Ordinary Differential Equations,Difference Equations
12)Augustine O.Esogbue
School of Industrial and Systems Engineering
Georgia Institute of Technology
Atlanta,GA 30332
404-894-2323
augustine.esogbue at isye.gatech.edu
Control Theory,Fuzzy sets,Mathematical Programming,Dynamic
Programming,Optimization
13)Christodoulos A.Floudas
Department of Chemical Engineering
Princeton University
Princeton,NJ 08544-5263
609-258-4595(x4619 assistant)
floudas at titan.princeton.edu
Optimization Theory & Applications,Global Optimization
14)J.A.Goldstein
Department of Mathematical Sciences
The University of Memphis
Memphis,TN 38152
901-678-3130
goldstej at hermes.msci.memphis.edu
Partial Differential Equations,Semigroups of Operators
15)H.H.Gonska
Department of Mathematics
University of Duisburg
Duisburg,D-47048
Germany
011-49-203-379-3542
gonska at informatik.uni-duisburg.de
Approximation Theory,Computer Aided Geometric Design
16)John R.Higgins
Department of Mathematics
Anglia Polytechnic University
Rosemead,105 Caxton End,
Bourn,Cambridge,England
rhiggins at bridge.anglia.ac.uk
Fourier Analysis,Sampling Theory,Signal Theory
17)Christian Houdre
School of Mathematics
Georgia Institute of Technology
Atlanta,Georgia 30332
404-894-4398
houdre at math.gatech.edu
Probability,Mathematical Statistics,Wavelets
18)Mourad E.H.Ismail
Department of Mathematics
University of South Florida
Tampa,FL 33620-5700
813-974-2655,813-974-2643
ismail at math.usf.edu
Approximation Theory,Polynomials,Special Functions
19)J.H.B.Kemperman
Department of Statistics
Rutgers University
New Brunswick,NJ 08903
732-390-4537
jkemperman at aol.com
Probability,Math.Statistics,Stochastic Processes,Tomography,
Functional Equations
20)Burkhard Lenze
Fachbereich Informatik
University of Applied Sciences(FH)
Postfach 105018
D-44047 Dortmund
Germany
lenze at fh-dortmund.de
Real Analysis,Neural Networks,Fourier Analysis,Approximation Theory
21)Hrushikesh N.Mhaskar
Department Of Mathematics
California State University
Los Angeles,CA 90032
626-914-7002
hmhaska at calstatela.edu
Orthogonal Polynomials,Approximation Theory,Splines,Wavelets,
Neural Networks
22)Zuhair M.Nashed
Department Of Mathematics
University of Delaware
Newark,DE 19716-0001
302-831-1877
nashed at math.udel.edu
Inverse problems,Signal Analysis
23)Mubenga N.Nkashama
Department OF Mathematics
University of Alabama at Birmingham
Birmingham,AL 35294-1170
205-934-2154
nkashama at math.uab.edu
Ordinary Differential Equations,Partial Differential Equations
24)Charles E.M.Pearce
Applied Mathematics Department
University of Adelaide
Adelaide 5005,
Australia
cpearce at maths.adelaide.edu.au
Stochastic Processes,Probability Theory,Harmonic Analysis,Measure
Theory,Special Functions,Inequalities
25)Josip Pecaric
Faculty of Textile Technology
University of Zagreb
Pierottijeva 6,11000
Zagreb,Croatia
pecaric at hazu.hr
Inequalities,Convexity
26)Ervin Y.Rodin
Department of Systems Science and Applied Mathematics
Washington University,Campus Box 1040
One Brookings Drive,St.Louis,MO 63130-4899
314-935-6007
rodin at rodin.wustl.edu
Systems Theory,Control,Partial Differential Equations,Calculus of
Variations,Optimal Control,Computer Science,Economics,Operations
Research,Math.Programming,Games
27)Manfred Tasche
Department of Mathematics
University of Rostock
D-18051 Rostock,Germany
manfred.tasche at mathematik.uni-rostock.de
Numerical Fourier Analysis,Fourier Analysis,Harmonic Analysis,Signal
Analysis, Spectral Methods,Wavelets,Splines,Approximation Theory
28)Gilbert G.Walter
Department Of Mathematical Sciences
University of Wisconsin-Milwaukee,Box 415,
Milwaukee,WI 53201-0413
414-229-5077
ggw at csd.uwm.edu
Distribution Functions,Generalised Functions,Wavelets
29)Halbert White
Department of Economics
University of California at San Diego
La Jolla,CA 92093-0508
619-534-3502
hwhite at albert.ucsd.edu
Economic Theory,Approximation Theory,Neural Networks
30)Xin-long Zhou
Fachbereich Mathematik,Fachgebiet Informatik
Gerhard-Mercator-Universitat Duisburg
Lotharstr.65,D-47048 Duisburg,Germany
Xzhou at informatik.uni-duisburg.de
Fourier Analysis,Computer-Aided Geometric Design,
Computational Complexity,Multivariate Approximation Theory,
Approximation and Interpolation Theory
31)Xiang Ming Yu
Department of Mathematical Sciences
Southwest Missouri State University
Springfield,MO 65804-0094
417-836-5931
xmy944f at cnas.smsu.edu
Classical Approximation Theory,Wavelets
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Reply-To: math at xxx.lanl.gov
To: banach at littlewood.math.okstate.edu
Subject: Abstract of a paper by R. Deville, R. Gonzalo, and J.A. Jaramillo
Date: Thu, 02 Apr 1998 10:14:37 -0600
From: Alspach Dale <alspach at littlewood.math.okstate.edu>
Sender: owner-banach at littlewood.math.okstate.edu
Precedence: bulk
Dear Subscribers,
This is the first posting to the merged archive. Older papers should be
available at xxx.lanl.gov in the near future. There are some instructions
for retrieving the paper at the end of this message.
------------------------------------------------------------------------------
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use a single `get' to request multiple papers, `list macros' for available
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Operator Algebras
received from Wed 1 Apr 98 01:00:02 GMT to Thu 2 Apr 98 01:00:01 GMT
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\\
Paper: math.FA/9804002
From: =?iso-8859-1?Q?Jes=FAs_Angel_Jaramillo?= <jaramil at eucmax.sim.ucm.es>
Date: Wed, 1 Apr 1998 15:57:54 GMT (14kb)
Title: Renormings of $L^p(L^q)$
Authors: R. Deville (Univ. Bordeaux), R. Gonzalo (Univ. Complutense) and J.A.
Jaramillo (Univ. Complutense)
Comments: 18 pages; AMS-Tex
Subj-class: Functional Analysis
\\
We investigate the best order of smoothness of $L^p(L^q)$. We prove in
particular that there exists a $C^\infty$-smooth bump function on $L^p(L^q)$ if
and only if $p$ and $q$ are both even integers and $p$ is a multiple of $q$.
\\ ( http://xxx.lanl.gov/abs/math/9804002 , 14kb)
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%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---
For general information on the new math archive (partitioned by
keyword subject classification), see http://xxx.lanl.gov/new/math.html
For subscribe options to combined math archives,
e-mail To: math at xxx.lanl.gov, Subject: subscribe
-----------------------------------------------------------
Instructions for Retrieving Papers
Below "number" should be replaced by the paper number, 9804002.
To retrieve the TeX file for this paper by email in uuencoded gz compressed form
(suitable for unpacking on UNIX machines and others)
send a message with subject line
> Subject: get number
to: math at xxx.lanl.gov
If you need these utilities for unpacking for UNIX, VMS, DOS, Windows, or
Mac see
http://xxx.lanl.gov/help/uufiles
To retrieve the file by email in unpacked form use subject line
> Subject: uget number
To retrieve the file by using a web browser go to
http://xxx.lanl.gov/abs/math/number
Anonymous ftp access is possible but not recommended.
ftp xxx.lanl.gov
cd to math/papers/first_four_digits_of_number
The files have names of the form number.gz, number.tar.gz, number.abs.
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To: banach at littlewood.math.okstate.edu
Subject: Old papers
Date: Sat, 04 Apr 1998 13:37:28 -0600
From: Alspach Dale <alspach at littlewood.math.okstate.edu>
Sender: owner-banach at littlewood.math.okstate.edu
Precedence: bulk
Most of the papers from the Banach archive are now available at
xxx.lanl.gov. The ones missing are from the transition period of
February and March 1998. These will be added shortly. If there are
others missing let me know. Note that papers from the years before 1992
are archived in the 1992 section. No new papers will be added at the
old site.
Note that the new archive uses gzipped files. This is not a proprietary
format and is distributed for many machines as part of the GNU project.
(see http://www.netlib.no/netlib/gnu/gzip/) This is not the same format as
pkzip files. The Infozip unzip will also unzip these files and is
available for many operating systems. UNIX systems usually have
gunzip, WinZip works on windows machines and MacGzip works for Macs.
There are probably many other unarchivers which will work.
Below is a list of mirrors of the archive. If you experience problems or
you have suggestions, let me know. I am adding some web pages about the new
archive and links to help.
Dale
Mirrors of the Los Alamos Preprint Archive
If you are not in the United States you may want to substitute one of the
mirror sites for xxx.lanl.gov. If you are using the
friendly interface at UC Davis, you can set the location for download from
the preferences page.
Augsburg, Germany xxx.uni-augsburg.de
Beijing, China xxx.itp.ac.cn
Sao Paulo, Brazil xxx.if.usp.br
Trieste, Italy xxx.sissa.it
Hsinchu, Taiwan xxx.sf.nchc.gov.tw
Southampton, UK xxx.soton.ac.uk
Moscow, Russia xxx.itep.ru
Seoul, South Korea xxx.snu.ac.kr
Zaragoza, Spain xxx.unizar.es
Tel Aviv, Israel xxx.tau.ac.il
Adelaide, Australia xxx.adelaide.edu.au
Paris, France xxx.lpthe.jussieu.fr
Chennai, India xxx.imsc.ernet.in
Kyoto, Japan xxx.yukawa.kyoto-u.ac.jp
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To: banach at littlewood.math.okstate.edu
Subject: Papers in Banach space added to the archive on April 8, 1998
Date: Thu, 09 Apr 1998 08:40:05 -0500
From: Alspach Dale <alspach at littlewood.math.okstate.edu>
Sender: owner-banach at littlewood.math.okstate.edu
Precedence: bulk
--------------------------------------
------------------------------------------------------------------------------
send mail only to math at xxx.lanl.gov, do not reply to no-reply at ...
send any complaints regarding submissions directly to submitter.
use a single `get' to request multiple papers, `list macros' for available
macro packages, and `help' for a list of available commands and other info.
------------------------------------------------------------------------------
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Submissions to:
Functional Analysis
received from Wed 8 Apr 98 00:00:03 GMT to Thu 9 Apr 98 00:00:01 GMT
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\\
Paper: math.FA/9804044
From: Roman Vershynin <roman at decnt.mate.polimi.it>
Date: Wed, 8 Apr 1998 14:25:12 GMT (11kb)
Title: Absolutely representing systems, uniform smoothness, and type
Authors: R. Vershynin
Comments: 15 pages
Subj-class: Functional Analysis
MSC-class: 46B03; 46B07; 52A21
\\
Absolutely representing system (ARS) in a Banach space $X$ is a set $D
\subset X$ such that every vector $x$ in $X$ admits a representation by an
absolutely convergent series $x = \sum_i a_i x_i$ with $(a_i)$ reals and $(x_i)
\subset D$. We investigate some general properties of ARS. In particular, ARS
in uniformly smooth and in B-convex Banach spaces are characterized via
$\epsilon$-nets of the unit balls. Every ARS in a B-convex Banach space is
quick, i.e. in the representation above one can achieve $\|a_i x_i\| <
cq^i\|x\|$, $i=1,2,...$ for some constants $c>0$ and $q \in (0,1)$.
\\ ( http://xxx.lanl.gov/abs/math/9804044 , 11kb)
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%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%
%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---
For general information on the new math archive (partitioned by
keyword subject classification), see http://xxx.lanl.gov/new/math.html
For subscribe options to combined math archives,
e-mail To: math at xxx.lanl.gov, Subject: subscribe
----------------------------------------------
Instructions for Retrieving Papers
Below "number" should be replaced by the paper number, e.g., 9804044.
The instructions below are for the main site sustitute mirror sites as
needed.
To retrieve the file by using a web browser go to
http://xxx.lanl.gov/abs/math/number
If you click on Source, you get a gzip compressed file of the TeX.
If you would prefer a different resolution of postscript, pdf or dvi format,
click on other.
To retrieve the file by email in unzipped form send a message with subject line
> Subject: uget number
to:math at xxx.lanl.gov
To retrieve the TeX file for this paper by email in uuencoded gz compressed form
(suitable for unpacking on UNIX machines and others)
send a message with subject line
> Subject: get number
to: math at xxx.lanl.gov
If you need the utilities for unpacking files on UNIX, VMS, DOS, Windows, or
Mac see
http://xxx.lanl.gov/help/uufiles
Anonymous ftp access is possible but not recommended.
ftp xxx.lanl.gov
cd to math/papers/first_four_digits_of_number
The files have names of the form number.gz, number.tar.gz, number.abs
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To: banach at littlewood.math.okstate.edu
Subject: which abstracts
Date: Thu, 09 Apr 1998 13:25:55 -0500
From: Alspach Dale <alspach at littlewood.math.okstate.edu>
Sender: owner-banach at littlewood.math.okstate.edu
Precedence: bulk
Dear Subscribers,
In the merged archive at xxx.lanl.gov Banach spaces is in the larger
category functional analysis (FA). As a result I am filtering the
postings and crosslistings to FA and forwarding only those that seem to
fit within the general area of Banach spaces. Because I am doing the
filtering, my ignorance and prejudices may cause me to eliminate some
postings that you might feel really should be forwarded.
Postings with MSC-class 46A-E will almost always be forwarded. Also
postings to MG (metric geometry) and OA (operator algebras) which are
crosslisted to FA will get serious consideration. However if one of
these is your main area of interest you should consider subscribing
directly to xxx.lanl.gov.
You can help alleviate problems caused by my filtering by alerting me to
omissions and if you submit a paper to the archive that you want advertised
on this list which you think I might not forward, send me a note.
As with anything new there will no doubt be some problems. Feel free to
make suggestions.
Dale Alspach
alspach at math.okstate.edu
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To: banach at littlewood.math.okstate.edu
Subject: Papers in Banach spaces added to the archive on April 9, 1998
Date: Fri, 10 Apr 1998 13:45:12 -0500
From: Alspach Dale <alspach at littlewood.math.okstate.edu>
Sender: owner-banach at littlewood.math.okstate.edu
Precedence: bulk
send mail only to math at xxx.lanl.gov, do not reply to no-reply at ...
send any complaints regarding submissions directly to submitter.
use a single `get' to request multiple papers, `list macros' for available
macro packages, and `help' for a list of available commands and other info.
------------------------------------------------------------------------------
point your www client at http://xxx.lanl.gov/
------------------------------------------------------------------------------
Submissions to:
Functional Analysis
received from Thu 9 Apr 98 00:00:01 GMT to Fri 10 Apr 98 00:00:03 GMT
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\\
Paper: math.FA/9804057
From: combs at fireant.ma.utexas.edu
Date: Thu, 9 Apr 1998 16:06:22 GMT (17kb)
Title: On certain equivalent norms on Tsirelson's space
Authors: Edward Odell and Nicole Tomczak-Jaegermann
Comments: 19 pp., LaTeX
Report-no: ut-ma/980006
Subj-class: Functional Analysis
MSC-class: 46B03
\\
Tsirelson's space $T$ is known to be distortable but it is open as to
whether
or not $T$ is arbitrarily distortable. For $n\in {\Bbb N}$ the norm
$\|\cdot\|_n$ of the Tsirelson space $T(S_n,2^{-n})$ is equivalent to the
standard norm on $T$. We prove there exists $K<\infty$ so that for all $n$,
$\|\cdot\|_n$ does not $K$ distort any subspace $Y$ of $T$.
\\ ( http://xxx.lanl.gov/abs/math/9804057 , 17kb)
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%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---
For general information on the new math archive (partitioned by
keyword subject classification), see http://xxx.lanl.gov/new/math.html
For subscribe options to combined math archives,
e-mail To: math at xxx.lanl.gov, Subject: subscribe
----------------------------------------------
Instructions for Retrieving Papers
Below "number" should be replaced by the paper number, e.g., 9804057.
The instructions below are for the main site sustitute mirror sites as
needed.
To retrieve the file by using a web browser go to
http://xxx.lanl.gov/abs/math/number
If you click on Source, you get a gzip compressed file of the TeX.
If you would prefer a different resolution of postscript, pdf or dvi format,
click on other.
To retrieve the file by email in unzipped form send a message with subject line
> Subject: uget number
to:math at xxx.lanl.gov
To retrieve the TeX file for this paper by email in uuencoded gz compressed form
(suitable for unpacking on UNIX machines and others)
send a message with subject line
> Subject: get number
to: math at xxx.lanl.gov
If you need the utilities for unpacking files on UNIX, VMS, DOS, Windows, or
Mac see
http://xxx.lanl.gov/help/uufiles
Anonymous ftp access is possible but not recommended.
ftp xxx.lanl.gov
cd to math/papers/first_four_digits_of_number
The files have names of the form number.gz, number.tar.gz, number.abs
From alspach Tue Apr 21 10:43:55 1998
To: banach
Subject: Abstract of a paper by Corran Webster
Content-Length: 1551
This is an announcement for the paper "Matrix compact sets and operator
approximation properties" by Corran Webster.
Abstract: The relationship between the operator approximation property
and the strong operator approximation property has deep significance in
the theory of operator algebras. The original definitions of Effros and
Ruan, unlike the classical analogues, make no mention of compact
operators or compact sets. In this paper we introduce ``compact matrix
sets'' which correspond to the two different operator approximation
properties, and show that a space has the operator approximation
property if and only if the ``operator compact'' operators are
contained in the closure of the finite rank operators. We also
investigate when the two types of compactness agree, and introduce a
natural condition which guarantees that they do.
Archive classification: Functional Analysis; Operator Algebras
Mathematics Subject Classification: 46B28; 47B07; 47D15
Remarks: 37 pages
The source file, opapproxlanl.tex, has length 96518 bytes and is
stored in gzipped form as 9804093.gz with size 26kb. The corresponding
postcript file has gzipped size 96kb.
Submitted from: corran.webster at math.tamu.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/9804093
or
http://xxx.lanl.gov/abs/math/9804093
or by email in unzipped form by transmitting an empty message with
subject line
uget 9804093
or in gzipped form by using subject line
get 9804093
to: math at xxx.lanl.gov.
From alspach Tue May 19 09:31:36 1998
To: banach
Subject: Abstract of a paper by Dale Alspach
Content-Length: 1189
This is an announcement for the paper "The dual of the Bourgain-Delbaen
space" by Dale Alspach.
Abstract: It is shown that a script L_infty-space with separable dual
constructed by Bourgain and Delbaen has small Szlenk index and thus
does not have a quotient isomorphic to C(omega^omega). It follows that
this is a script L_infty-space which is the same size as c_0 in the
sense of the Szlenk index but does not contain c_0. This has some
consequences in the theory of uniform homeomorphism of Banach spaces.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B20
Remarks: 18 pages, LaTeX2e
The source file, bdspace, has length 49584 bytes and is stored in
gzipped form as 9805081.gz with size 16kb. The corresponding postcript
file has gzipped size 76kb.
Submitted from: alspach at littlewood.math.okstate.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/9805081
or
http://xxx.lanl.gov/abs/math/9805081
or by email in unzipped form by transmitting an empty message with
subject line
uget 9805081
or in gzipped form by using subject line
get 9805081
to: math at xxx.lanl.gov.
From alspach Wed Jun 3 13:47:43 1998
To: banach
Subject: Abstract of a paper by Vladimir G. Troitsky
Content-Length: 1128
This is an announcement for the paper "On the modulus of C. J. Read's
operator" by Vladimir G. Troitsky.
Abstract: Let T be the quasinilpotent operator on ell_1 without an
invariant subspace constructed by C. J. Read in [R3]. We prove that the
modulus of this operator has an invariant subspace (and even an
eigenvector). This answers a question posed by Y. Abramovich, C.
Aliprantis and O. Burkinshaw in [AAB1,AAB3]
Archive classification: Functional Analysis
Mathematics Subject Classification: 47A15, 47B60, 47B65
Remarks: 8 pages, LaTeX2e, to appear in Positivity
The source file, read-modul.ltx, has length 24009 bytes and is stored
in gzipped form as 9805124.gz with size 8kb. The corresponding
postcript file has gzipped size 49kb.
Submitted from: vladimir at math.uiuc.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/9805124
or
http://xxx.lanl.gov/abs/math/9805124
or by email in unzipped form by transmitting an empty message with
subject line
uget 9805124
or in gzipped form by using subject line
get 9805124
to: math at xxx.lanl.gov.
From alspach Wed Jun 3 13:51:50 1998
To: banach
Subject: Abstract of a paper by Denny H. Leung
Content-Length: 1430
This is an announcement for the paper "The normed and Banach envelopes
of Weak L^1" by Denny H. Leung.
Abstract: The space Weak L^1 consists of all measurable functions on
[0,1] such that
q(f) = sup_{c>0} c \lambda{t : |f(t)| > c} is finite, where \lambda
denotes Lebesgue measure. Let \rho be the gauge functional of the
unit ball {f : q(f) \leq 1} of the quasi- norm q, and let N be the null
space of \rho. The normed envelope of Weak L^1, which we denote by W,
is the space (Weak L^1/N, \rho). The Banach envelope of Weak L^1,
\overline{W}, is the completion of W. We show that \overline{W} is
isometrically lattice isomorphic to a sublattice of W. It is also shown
that all rearrangement invariant Banach function spaces are
isometrically isomorphic to a sublattice of W.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46E30, 46B42, 46B40
The source file, wl1,3.TEX, has length 57461 bytes and is stored in
gzipped form as 9806009.gz with size 15kb. The corresponding postcript
file has gzipped size 80kb.
Submitted from: matlhh at nus.edu.sg
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/9806009
or
http://xxx.lanl.gov/abs/math/9806009
or by email in unzipped form by transmitting an empty message with
subject line
uget 9806009
or in gzipped form by using subject line
get 9806009
to: math at xxx.lanl.gov.
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To: banach at littlewood.math.okstate.edu
Subject: ANNOUNCEMENT OF SUMIRFAS'98
Reply-to: judyg at math.tamu.edu
Date: Wed, 08 Jul 1998 08:23:51 -0500
From: Alspach Dale <alspach at littlewood.math.okstate.edu>
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ANNOUNCEMENT OF SUMIRFAS'98
The Informal Regional Functional Analysis Seminar
will meet July 24-26 at Texas A&M in College Station.
SCHEDULE (tentative): The first talk will be at 1:30 pm on Friday,
July 24. All talks will be in Blocker 120. Refreshments will be
available in Blocker 112 at 1:00 Friday. SUMIRFAS will end in the
early afternoon on Sunday. The schedule will be posted and updated
periodically on the Home Page of the Workshop in Linear Analysis
and Probability, whose new URL is
http://www.math.tamu.edu/research/workshops/linanalysis/
The Home Page also contains other information about the Workshop,
including a list of participants and a schedule of seminars.
HOUSING: Contact Judy Gloyna, (judyg at math.tamu.edu,
(409) 845-5-4412, (409) 845-6028 FaX) for help with housing.
Please tell Judy the type of accommodation you desire (smoking or
nonsmoking), which night(s) you need the room, and give her a
roommate preference.
DINNER: There will be a 10 course dinner at 7:00 p.m. on Saturday,
July 25, at Imperial Chinese Restaurant, 2232 S. Texas Ave. in College
Station. The charge for the subsidized dinner is $15 per person for
faculty and $10 per person for students. Please tell Judy Gloyna if
you (and spouse or companion, if applicable) will attend. Checks
should be made out to Dept. Math., TAMU. Reservations should be
made by July 20 and payment made by July 24.
Judy Gloyna
Department of Mathematics
Texas A&M University
College Station, TX 77843-3368.
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 Judy to book your room, please tell
her if you are requesting support. Rooms in CS are tight the
weekend of SUMIRFAS, so please act ASAP.
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
Talks: Below are some of the talks.
Petr Hajek, Smooth nonlinear operators on C(K) spaces
Maria Girardi, Banach spaces whose duals contain L_1(0,1) isometrically
Yehoram Gordon, The relations between volume formulas,
ideal norms and local theory
Denka Kutzarova, TBA
David Larson, Operators, wavelets and frames
Timur Oikhberg, TBA
Alain Pajor, The isotropy constants of the Schatten classes
Gilles Pisier, Martingales and Lambda(p) sets in
non-commutative L_p spaces
Haskell Rosenthal, On certain extension properties of the space K(H)
Dmitri Shlyakhtenko, Free entropy with respect to a
completely-positive map
Darrin Speegle, TBA
George Willis, Convexity techniques in abstract harmonic analysis
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Subject: Abstract of a paper by Dilworth, Howard and Roberts
Date: Tue, 28 Jul 1998 13:18:37 -0500
From: Alspach Dale <alspach at littlewood.math.okstate.edu>
Sender: owner-banach at littlewood.math.okstate.edu
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This is an announcement for the paper "Extremal Approximately Convex
Functions and Estimating the Size of Convex Hulls" by S. J. Dilworth,
Ralph Howard, and James W. Roberts.
Abstract: A real valued function $f$ defined on a convex $K$ is an
approximately convex function iff it satisfies
$$
f((x+y)/2) \le (f(x)+f(y))/2 + 1.
$$
A thorough study of approximately convex functions is made. The
principal results are a sharp universal upper bound for lower
semi-continuous approximately convex functions that vanish on the
vertices of a simplex and an explicit description of the unique
largest bounded approximately convex function~$E$ vanishing on the
vertices of a simplex.
A set $A$ in a normed space is an approximately convex set iff for all
$a,b\in A$ the distance of the midpoint $(a+b)/2$ to $A$ is $\le 1$.
The bounds on approximately convex functions are used to show that in
$\R^n$ with the Euclidean norm, for any approximately convex set $A$,
any point $z$ of the convex hull of $A$ is at a distance of at most
$[\log_2(n-1)]+1+(n-1)/2^{[\log_2(n-1)]}$ from $A$. Examples are
given to show this is the sharp bound. Bounds for general norms on
$R^n$ are also given.
Remarks: 39 pages LaTeX2e with two postscript figures
Archive classification: Metric Geometry
Mathematics Subject Classification: 26B25 52A27 (primary), 39B72 41A44
51M16 52A21 52A40 (secondary)
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.MG/9807
or
http://xxx.lanl.gov/abs/math.MG/9807107
or
http://www.math.sc.edu/~howard/
- --
Ralph Howard Phone: (803) 777-2913
Department of Mathematics Fax: (803) 777-3783
University of South Carolina e-mail: howard at math.sc.edu
Columbia, SC 29208 USA http://www.math.sc.edu/~howard/
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Date: Wed, 21 Oct 1998 20:24:49 -0500
From: Dale Alspach <alspach at mail.math.okstate.edu>
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The list software has been down for the last few weeks due to local system
changes. Email file retrieval is still not functional from this list server
however all papers are available from the Los Alamos archive or by using
the web interface at http://www.math.okstate.edu/~alspach/banach/
I will be distributing some messages that were held while the sytem was
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To: banach at mail.math.okstate.edu
Subject: Abstract of a paper by V. Troitsky
Date: Wed, 21 Oct 1998 21:08:34 -0500
From: Dale Alspach <alspach at mail.math.okstate.edu>
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This is an announcement for the paper "Lomonosov's theorem cannot be
extended to chains of four operators" by Vladimir G.Troitsky.
Abstract: We show that the celebrated Lomonosov theorem cannot be improved
by increasing the number of commuting operators. Specifically, we prove
that if T is the operator on l_1 without a non-trivial closed invariant
subspace constructed by C.J.Read, then there are three operators S_1,
S_2 and K (non-multiples of the identity) such that T commutes with
S_1, S_1 commutes with S_2, S_2 commutes with K, and K is compact. It
is also shown that the commutant of T contains only series of T.
Archive classification: Functional Analysis
Mathematics Subject Classification: 47A15
Remarks: 5 pages, to appear in Proceedings of the AMS
The source file, lom-thm.ltx, has length 14884 bytes and is stored in
gzipped form as 9809100.gz with size 5kb. The corresponding postcript
file has gzipped size 39kb.
Submitted from: vladimir at math.uiuc.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/9809100
or
http://xxx.lanl.gov/abs/math/9809100
or by email in unzipped form by transmitting an empty message with
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uget 9809100
or in gzipped form by using subject line
get 9809100
to: math at xxx.lanl.gov.
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To: banach at mail.math.okstate.edu
Subject: International Conference on Mathematical Analysis and its Applications
Reply-to: wong at math.nsysu.edu
Date: Thu, 22 Oct 1998 11:26:15 -0500
From: Dale Alspach <alspach at mail.math.okstate.edu>
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We are organizing the International Conference on Mathematical Analysis and
its Applications, 2000 (ICMAA2000). It is scheduled to be held in the
National Sun Yat-sen University, Kaohsiung 80424, Taiwan for Jan. 17 - 21,
2000. Currently, we have arranged
Keynote and invited speakers: L. de Branges, P. Cohen\footnote{to be
confirmed}, A. Friedman, G. Pisier, and R. T. Rockafellar, L. G. Brown, P.
G. Casazza , J. Chabrowski , M. D. Choi, C. C. Cowen, B. D. Craven, N. J.
Kalton, W. A. Kirk, A. Kaminska, C. K. Li, P. K. Lin, K. Mizukami, F. Moricz,
W. Oettli, W. Takahashi, S. L. Troyanski, G. X. Z. Yuan, Zhongrui Shi.
Please visit our www homepage at http://www.math.nsysu.edu.tw/u/icmaa2000.
There will be a mirror site very soon at http://www.math.uiowa.edu/icmaa2000.
One can email to
Ngai-Ching Wong at wong at math.nsysu.edu.tw or
Borluh Lin at bllin at pop.math.uiowa.edu
for more information.
Ngai-Ching Wong
-------------latex file-first announcement and registration form--------
\documentstyle[12pt]{article}
\textwidth18cm
\textheight24cm
\voffset-1in
\hoffset-0,8in
\pagestyle{plain}
\parindent0pt
\begin{document}
\begin{center}
\underline{\sc FIRST ANNOUNCEMENT (Oct., 98)}
{\bf
INTERNATIONAL CONFERENCE ON MATHEMATICAL ANALYSIS\\ AND ITS APPLICATIONS,
2000 (ICMAA2000)
January 17 - 21, 2000
National Sun Yat-sen University, Taiwan, R.O.C.
}
\end{center}
The aim of ICMAA2000 is to bring together mathematicians working in
Abstract and Applied Analysis to enhance the interaction among areas of
research.
Currently, we have arranged:
\medskip
\noindent{\sc Keynote speakers}:\\
{\bf L. de Branges} (Purdue), {\bf P. Cohen}\footnote{to be confirmed} (Stanford),
{\bf A. Friedman} (Minnesota),\\
{\bf G. Pisier} (Texas A\&M and Paris VI), and {\bf R. T. Rockafellar}
(Washington).
\smallskip
\noindent{\sc Invited speakers}:\\
L. G. Brown (Purdue), %Wong, NC
P. G. Casazza (Missouri-Columbia), %Lin, BL
J. Chabrowski (Queensland, Australia),\\ %Wang, HC
M. D. Choi (Toronto), %Wu, PY
C. C. Cowen (Purdue), %Ho, M.
B. D. Craven (Melbourne, Australia),\\ %Lai, HC
N. J. Kalton (Missouri-Columbia), %Lin, BL
W. A. Kirk (Iowa), %Lin, LJ
% A. Kaminska (Memphis),
C. K. Li (College of William and Mary), \\%Wu, PY
P. K. Lin (Memphis), %Lin, BL
K. Mizukami (Hiroshima, Japan), %Lai, HC
F. Moricz (Szeged, Hungary), \\%Chen, CP
W. Oettli (Mannheim, Germany), %Lin, LJ
W. Takahashi (Tokyo Inst.\ of Tech.), %Lin, LJ
S. L. Troyanski (Sofia, Bulgaria), %Lin, BL
G. X. Z. Yuan (Queensland, Australia), %Lin, LJ
Zhongrui Shi (Harbin Univ.\ of Sci.\ and Tech.). %Lin, BL
\bigskip
Anybody interested in the conference is warmly invited to attend and to
give a talk. Please contact any one of the following organizing committee
members
for further information:
\bigskip
\begin{tabular}{ll}
{\bf Banach Spaces of Analytic Functions} & Mark C. Ho
(hom at math.nsysu.edu.tw)\\
{\bf Banach Space Theory} & Borluh Lin (bllin at pop.math.uiowa.edu)\\
% {\bf Cone Theory} & Bit-Shun Tam (bsm01 at mail.tku.edu.tw)\\
{\bf Convex Analysis} & Jen-Chih Yao (yaojc at math.nsysu.edu.tw)\\
{\bf Fourier Analysis} & Chang-Pao Chen (cpchen at math.nthu.edu.tw)\\
{\bf KKM and Fixed Point Theory} & Lai-Jiu Lin (Maljlin at math.ncue.edu.tw)\\
{\bf Matrix Analysis} & Mau-Hsiang Shih (mhshih at math.cycu.edu.tw)\\
{\bf Nonlinear Analysis} & Hwai-Chiuan Wang (hwang at math.nthu.edu.tw)\\
{\bf Nonlinear PDEs} & Jong-Shenq Guo (jsguo at math.ntnu.edu.tw)\\
{\bf Numerical Ranges} & Pei-Yuan Wu (pywu at cc.nctu.edu.tw)\\
{\bf Operator Algebras} & Ngai-Ching Wong (wong at math.nsysu.edu.tw)\\
{\bf Operator Semigroups} & Sen-Yen Shaw (shaw at math.ncu.edu.tw)\\
{\hspace{1cm}\bf and Evolution Equations} & \\
{\bf Optimization Theory} & Hang-Chin Lai (hclai at csa500.isu.edu.tw)\\
{\bf Stochastic Analysis} & Yuh-Jia Lee (yjlee at mail.ncku.edu.tw)\\
{\bf Value distribution theory} & Chung-chun Yang
(mayang at uxmail.ust.hk)\\ {\hspace{1cm}\bf and complex dynamics} &
\end{tabular}
\bigskip
The Proceedings of ICMAA2000 will be published as a special issue of the
Taiwanese Journal of Mathematics. All speakers are invited to contribute
their papers to the Proceedings while all submitted manuscripts will be
refereed just as other submissions to the Journal.
\bigskip
The Conference will be held mainly at National Sun Yat-sen University,
Kaohsiung. Parts of the program may be held at National Cheng Kung
University, Tainan, and I-Shou University, Kaohsiung. Social events are
under planning.
\medskip
The Organizing Committee of ICMAA2000 is seeking supports from the
Mathematics Development and Promotion Center, National Science Council of
Republic of China, the Ministry of Education of the Republic of China,
National Sun Yat-sen University, National Cheng Kung University, I-Shou
University, and other sources.
Funds, however, are limited, and there will be a small registration fee
(US\$100, subject to change, and no charge for students) which covers
essentially all meals during the Conference. We encourage all participants to
ask for support from their home universities or other institutions.
\medskip
For further information, please contact
\medskip
Ngai-Ching Wong, Department of Applied Mathematics, National Sun Yat-sen
University, Kaohsiung 80424, Taiwan, R.O.C.
\medskip
Borluh Lin, Department of Mathematics, The University of Iowa, Iowa City, IA
52242, U.S.A.
\medskip
E-Mail: icmaa2000 at math.nsysu.edu.tw \hspace{1cm}
Fax: 886-7-5253809\\
www-site: http://www.math.nsysu.edu.tw/u/icmaa2000,
http://www.math.uiowa.edu/icmaa2000
\bigskip
In case you are interested to give a lecture in ICMAA2000, please send us
({\em and} also the corresponding organizing committee member) a title and a
short abstract at the latest by September 30, 1999. We ask you to understand
that the number of lectures in the parallel sessions is limited, so that we
may not be able to accommodate every proposed lecture in these sessions.
%\bigskip
\vspace{1cm}
\newpage
Please return the following form to, preferably by e-mail:
icmaa2000 at math.nsysu.edu.tw,
or by Fax: 886-7-5253809,
or via regular mail to
\bigskip
\begin{tabular}{ll}
Ngai-Ching Wong & Borluh Lin\\
Department of Applied Mathematics & Department of Mathematics\\
National Sun Yat-sen University & The University of Iowa\\
Kaohsiung 80424 & Iowa City, IA 52242\\
Taiwan, R.O.C. & U.S.A.
\end{tabular}
\medskip
You can also
fill in the form at our www homepage at\\ http://www.math.nsysu.edu.tw/u/icmaa2000.
\medskip
\hrule
\smallskip
\hrule
\vspace{1cm}
\hspace{0.5cm}\indent$\Box$ I intend to participate in the International
Conference on Mathematical Analysis
\hspace{0.5cm}\hspace{0.5cm}\hspace{0.5cm} and its Applications, 2000.
\vspace{1cm}
\hspace{0.5cm}\indent$\Box$ I propose to give a lecture.
\vspace{0.5cm}
\hspace{0.5cm}\hspace{0.5cm}\indent$\Box$ Title and abstract are attached.
\vspace{0.5cm}
\hspace{0.5cm}\hspace{0.5cm}\indent$\Box$ Title and abstract will be
submitted no later than September 30, 1999.
\vspace{1.5cm}
{\bf Name:} \dotfill
\bigskip
{\bf Institution:}\dotfill
\bigskip
{\bf Address:}\dotfill
\bigskip
..\dotfill
\bigskip
{\bf Electronic mail:}\dotfill
\bigskip
{\bf Phone:}\dotfill
\bigskip
{\bf Fax:}\dotfill
\end{document}
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New book:
Orthonormal Systems and Banach Space Geometry
Albrecht Pietsch & Jörg Wenzel
Hardback 0521624622 55.00 sterling/$85.00
1998 234 x 156 mm 563pp 11 line diagrams 11 tables
Encyclopedia of Maths and its Applications 70
Published: 10th September 1998
Cambridge University Press
This book is concerned with the interplay between harmonic and
functional analysis. Besides trigonometric functions, orthogonal
systems formed by Haar, Walsh and Rademacher functions as well as by
Gaussian random variables are treated. The main feature, however, is
the consideration of functions taking their values in a Banach space.
The reader will learn that some well-known classical theorems extend
to the vector-valued case and some not. This fact is used to create
special classes of operators which turn out to be ideals. In the
setting of spaces, the text provides a unified approach to such famous
concepts like Rademacher type and cotype, B-convexity,
superreflexivity and the UMD-property. Large parts of the
presentation are understandable for graduate students of mathematics
with a basic knowledge in Banach space theory. A long list of
unsolved problems may serve as a starting point for own research.
Here is the table of contents:
Preface v
Introduction 1
0 Preliminaries 4
0.1 Banach spaces and operators 4
0.2 Finite dimensional spaces and operators 7
0.3 Classical sequence spaces 8
0.4 Classical function spaces 9
0.5 Lorentz spaces 13
0.6 Interpolation methods 18
0.7 Summation operators 19
0.8 Finite representability and ultrapowers 20
0.9 Extreme points 21
0.10 Various tools 23
1 Ideal norms and operator ideals 25
1.1 Ideal norms 25
1.2 Operator ideals 28
1.3 Classes of Banach spaces 32
2 Ideal norms associated with matrices 35
2.1 Matrices 35
2.2 Parseval ideal norms and 2-summing operators 38
2.3 Kwapien ideal norms and Hilbertian operators 47
2.4 Ideal norms associated with Hilbert matrices 58
3 Ideal norms associated with orthonormal systems 65
3.1 Orthonormal systems 66
3.2 Khintchine constants 70
3.3 Riemann ideal norms 72
3.4 Dirichlet ideal norms 76
3.5 Orthonormal systems with special properties 85
3.6 Tensor products of orthonormal systems 86
3.7 Type and cotype ideal norms 89
3.8 Characters on compact Abelian groups 98
3.9 Discrete orthonormal systems 111
3.10 Some universal ideal norms 115
3.11 Parseval ideal norms 123
4 Rademacher and Gauss ideal norms 126
4.1 Rademacher functions 127
4.2 Rademacher type and cotype ideal norms 131
4.3 Operators of Rademacher type 136
4.4 B-convexity 143
4.5 Operators of Rademacher cotype 152
4.6 MP-convexity 159
4.7 Gaussian random variables 164
4.8 Gauss versus Rademacher 172
4.9 Gauss type and cotype ideal norms 185
4.10 Operators of Gauss type and cotype 190
4.11 Sidon constants 196
4.12 The Dirichlet ideal norms d(R_n, R_n) and d(G_n, G_n) 207
4.13 Inequalities between d(R_n, R_n) and r(R_n, I_n) 212
4.14 The vector-valued Rademacher projection 222
4.15 Parseval ideal norms and gamma-summing operators 226
4.16 The Maurey--Pisier theorem 233
5 Trigonometric ideal norms 235
5.1 Trigonometric functions 236
5.2 The Dirichlet ideal norms d(E_n, E_n) 241
5.3 Hilbert matrices and trigonometric systems 264
5.4 The vector-valued Hilbert transform 269
5.5 Fourier type and cotype ideal norms 281
5.6 Operators of Fourier type 288
5.7 Operators of Fourier cotype 304
5.8 The vector-valued Fourier transform 305
5.9 Fourier versus Gauss and Rademacher 313
6 Walsh ideal norms 321
6.1 Walsh functions 322
6.2 Walsh type and cotype ideal norms 323
6.3 Operators of Walsh type 325
6.4 Walsh versus Rademacher 331
6.5 Walsh versus Fourier 341
7 Haar ideal norms 344
7.1 Martingales 345
7.2 Dyadic martingales 347
7.3 Haar functions 353
7.4 Haar type and cotype ideal norms 355
7.5 Operators of Haar type 364
7.6 Super weakly compact operators 373
7.7 Martingale type ideal norms 380
7.8 J-convexity 390
7.9 Uniform q-convexity and uniform p-smoothness 399
7.10 Uniform convexity and uniform smoothness 412
8 Unconditionality 429
8.1 Unconditional Riemann ideal norms 429
8.2 Unconditional Dirichlet ideal norms 430
8.3 Random unconditionality 431
8.4 Fourier unconditionality 432
8.5 Haar unconditionality/UMD 436
8.6 Random Haar unconditionality 443
8.7 The Dirichlet ideal norms d(W_n, W_n) 456
8.8 The Burkholder--Bourgain theorem 459
9 Miscellaneous 461
9.1 Interpolation 461
9.2 Schatten--von Neumann spaces 469
9.3 Ideal norms of finite rank operators 475
9.4 Orthogonal polynomials 480
9.5 History 489
9.6 Epilogue 502
Summaries 509
List of symbols 514
Bibliography 523
Index 546
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To: banach at mail.math.okstate.edu
Subject: Ad for a new book by Bob Megginson
Reply-to: meggin at math.lsa.umich.edu
Date: Sat, 24 Oct 1998 20:43:41 -0500
From: Dale Alspach <alspach at mail.math.okstate.edu>
Sender: owner-banach at mail.math.okstate.edu
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New book:
An Introduction to Banach Space Theory
Robert E. Megginson
Hardback ISBN 0-387-98431-3 $64.95
1998 616pp
Graduate Texts in Mathematics 183
Published: October 1998
Springer-Verlag New York, Inc.
A detailed description of this book, including a section-by-section
synopsis, can be found on the web at
http://www.math.lsa.umich.edu/~meggin/ibst.html
The purpose of this book is to serve as a text for a graduate course
in functional analysis emphasizing Banach space theory. Its intended
audience is graduate students who have had the standard courses in
analysis and measure theory up to and including elementary properties
of the L_p spaces, but who may not yet have seen any of the basic
results from a first course in functional analysis, such as the
uniform boundedness principle and the various forms of the Hahn-Banach
theorem. See the Table of Contents below for an outline of the
material presented, and the web address given above for a far more
detailed description of the contents.
The book is sprinkled liberally with examples, both to show the theory
at work and to illustrate why certain hypotheses in theorems are
necessary. The book is also sprinkled liberally with historical notes
and citations of original sources, with special attention given to
mentioning dates within the body of the text so that the reader can
get a feeling for the time frame within which the different parts of
Banach space theory evolved.
Over 450 exercises provide supplementary examples and counterexamples
and give students practice in the use of the results developed in the
text.
Table of Contents
(Two asterisks preceding a section name indicates a section that is
optional in the sense that no non-optional section depends on it.)
Preface
1 Basic Concepts
Preliminaries
Norms
First Properties of Normed Spaces
Linear Operators Between Normed Spaces
Baire Category
Three Fundamental Theorems
Quotient Spaces
Direct Sums
The Hahn-Banach Extension Theorems
Dual Spaces
The Second Dual and Reflexivity
Separability
**Characterizations of Reflexivity
2 The Weak and Weak* Topologies
Topology and Nets
Vector Topologies
**Metrizable Vector Topologies
Topologies Induced by Families of Functions
The Weak Topology
The Weak* Topology
The Bounded Weak* Topology
Weak Compactness
**James's Weak Compactness Theorem
Extreme Points
**Support Points and Subreflexivity
3 Linear Operators
Adjoint Operators
Projections and Complemented Subspaces
Banach Algebras and Spectra
Compact Operators
Weakly Compact Operators
4 Schauder Bases
First Properties of Schauder Bases
Unconditional Bases
Equivalent Bases
Bases and Duality
**James's Space J
5 Rotundity and Smoothness
Rotundity
Uniform Rotundity
Generalizations of Uniform Rotundity
Smoothness
Uniform Smoothness
Generalizations of Uniform Smoothness
APPENDICES
A Prerequisites
B Metric Spaces
C The Spaces \ell_p and \ell_p^n, 1 \le p \le \infty.
D Ultranets
References
List of Symbols
Index
From alspach Thu Oct 29 11:54:08 1998
To: banach at math.okstate.edu
Subject: Abstract of a paper by Vladimir Pestov
This is an announcement for the paper "Amenable groups and measure
concentration on spheres" by Vladimir Pestov.
Abstract: It is proved that a discrete group $G$ is amenable if and only
if for every unitary representation of $G$ in an infinite-dimensional
Hilbert space $\cal H$ the maximal uniform compactification of
the unit sphere $\s_{\cal H}$ has a $G$-fixed point, that is,
the pair $(\s_{\cal H},G)$ has the concentration property in the
sense of Milman. Consequently, the maximal $U({\cal H})$-equivariant
compactification of the sphere in a Hilbert space $\cal H$ has no fixed
points, which answers a 1987 question by Milman.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46C05, 43A07, 54H20
Report Number: Research Report 98-27, School of Math & Comp Sci, Victoria
Univ of Wellington
Remarks: 17 pages, LaTeX 2e
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Submitted from: vova at mcs.vuw.ac.nz
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To: banach at mail.math.okstate.edu
Reply-to: arias at sphere.math.utsa.edu (Alvaro Arias)
Subject: Job announcement
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Date: Wed, 04 Nov 1998 13:05:18 -0600
From: Dale Alspach <alspach at mail.math.okstate.edu>
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THE UNIVERSITY OF TEXAS AT SAN ANTONIO
Division of Mathematics and Statistics
Faculty Positions in Mathematics
Applications are invited for three tenure-track faculty
positions in Mathematics at the assistant professor level
pending budget approval. Applicants are required to have
a Ph.D. in Mathematics prior to September 1, 1999, and to
demonstrate strong potential for excellence in research and
teaching. Responsibilities include research, teaching,
direction of graduate students and program development.
The salary for the positions will be competitive. Applicants
who are not U.S. citizens must state their current visa and
residency status. Applicants must submit a letter of
application, a resume, and arrange to have three current
letters of recommendation sent to:
Chair, Mathematics Faculty Search Committee
Division of Mathematics and Statistics
The University of Texas at San Antonio
6900 North Loop 1604 West
San Antonio, Texas 78249-0664
The position has a starting date of September 1, 1999. All
application materials (in signed original), including the
letters of recommendation, must be postmarked no later than
January 11, 1999. The University of Texas at San
Antonio is an Affirmative Action/Equal Employment Opportunity
Employer. Women and Minorities are encouraged to apply.
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Reply-to: Mathematics Chairman <mathchr at techunix.technion.ac.il>
Subject: Postdoctoral positions
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Date: Wed, 11 Nov 1998 10:40:21 -0600
From: Dale Alspach <alspach at mail.math.okstate.edu>
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POST DOCTORAL POSITIONS AT THE TECHNION
Several Postdoctoral fellowships will be offered at the Technion for the
academic year 1999/2000, including the Lady Davis Postdoctoral fellowship
and the Anna Erdos Postdoctoral Fellowship which was established by
Professor Paul Erdos in memory of his late mother.
The fellowships are intended as an opportunity for a recent recipient of a
doctoral degree to pursue his/her research in pure or applied mathematics.
The fellowships are for one academic year, starting October 1, 1999. Some
of the fellowships can be extended for one additional year. Stipend is
commensurate with local academic salaries, and includes round trip
travel. Some fellowships will also include partial housing support.
Applications should include curriculum vitae, statement of research
interests and activities, and any relevant publications.
Applications should be sent by regular mail to the Chairman, Department of
Mathematics, by December 20, 1998.
Applicants should arrange for three letters of recommendation to
be forwarded to the same address.
Professor Ron Aharoni
Chairman, Dept. of Mathematics
Technion, Haifa 32000, Israel
fax: 972 4 8324 654 e-mail: mathapl at tx.technion.ac.il
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Reply-to: Konference na Pasekach <paseky at karlin.mff.cuni.cz>
Subject: Spring School on FA - Paseky 99
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From: Dale Alspach <alspach at mail.math.okstate.edu>
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What am I if I will not participate ?
Antoine de Saint-Exup'ery
Spring School on Functional Analysis
First Announcement
Dear Colleague,
Following a longstanding tradition, the Faculty of Mathematics
and Physics of Charles University, will organize a Spring School
on Functional Analysis. The School will be held at Paseky,
in a chalet in the Krkonose Mountains, April 18 - 24, 1999.
The program will consist of series of lectures on:
Recent Trends in Banach Spaces
delivered by:
Isaac I. Namioka (University of Washington, Seattle, USA)
Fragmentability in Banach Spaces: Interactions of Topologies
Nigel Kalton (University of Missouri, Columbia, USA)
title to be announced later
Vladimir Fonf (Ben-Gurion University, Negev, Israel)
Polyhedral Banach Spaces
Jesus M.F. Castillo (Universidad de Extremadura, Spain)
The structure that subspaces and quotients of Banach spaces may have
Short abstract of a series of lectures will be available on
http://www.karlin.mff.cuni.cz/katedry/kma/ss
The purpose of this Meeting is to bring together adepts who
share a common interest in the field. There will be opportunities
for short communications and informal discussions. Graduate students
and others beginning their mathematical career are encouraged to
participate.
The conference fee will be 300,- US dollars (appr.).
A reduced rate of 250,- US dollars (appr.) will be offered, provided
a letter guaranteeing participation reaches the organizers
before January 15, 1999. The conference fee includes all local
expenses (room and board) and transportation between Prague and Paseky.
The fee is the same for accompanying persons.
The organizers may provide financial support to a limited number
of students. Applications must be sent before March 1, 1999.
Payment of the fee should be made in cash at the registration
desk in Paseky, or it may be remitted by a bank transfer to
Komer\v cn\'\i banka, Praha 1, V\'aclavsk\'e n\'am. 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.
In case of any difficulty you should contact the organizers.
The village of Paseky lies in the slopes of
the Krkonose Mountains, in North Bohemia. Accommodation
consists of rooms for two or three people. There are excellent
facilities and conditions for sporting activities:
hiking trips, soccer, mini-golf and sauna.
A special bus from Prague to Paseky will leave at 4 p.m. on
April 18, 1999. The bus from Paseky will arrive
in Prague on April 24, at 11.30 a. m.
In case of interest please fill out the enclosed preliminary
registration form and return it before January 15, 1999.
A final announcement with further details will be mailed in due time.
Due to the limited capacity of accommodation facilities the
organizers may be forced to decline registration.
We look forward to meeting you in the Czech Republic.
Jaroslav Lukes, Jan Kolar
Mailing address:
Katedra matematick\'e anal\'yzy
Matematicko-fyzik\'aln\'\i fakulta UK
Sokolovsk\'a 83
186 75 Praha 8
Czech Republic
Phone/Fax: 420 - 2 - 232 3390
E-mail: paseky at karlin.mff.cuni.cz
http://www.karlin.mff.cuni.cz/katedry/kma/ss
*************************************************************************
Kindly inform colleagues and students interested in this field !
*************************************************************************
Preliminary registration form
Spring School on Functional Analysis, Paseky 1999
Name:
Address:
E-mail:
Fax:
Phone:
I plan on attending the Spring School: Yes No
From alspach Sun Nov 20 02:28:33 1998
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Date: Sun, 20 Nov 1998 02:28:32 -0600
From: Dale Alspach <alspach at minkowski.math.okstate.edu>
Message-Id: <199812200828.CAA10577 at minkowski.math.okstate.edu>
To: alspach at minkowski.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by Greg Kuperberg
Status: R
This is an announcement for the paper "The bottleneck conjecture" by
Greg Kuperberg.
Abstract: The Mahler volume of a centrally symmetric convex body K is
defined as
M(K) = (Vol K)(Vol K^o), where K^o is the polar body of K. Mahler
conjectured that this volume is
minimized when K is a cube. We introduce the bottleneck conjecture,
which stipulates that a certain convex body K^diamond in K x K^o has
least volume when K is an ellipsoid. If true, the bottleneck conjecture
would strengthen the best current lower bound on the Mahler volume due
to Bourgain and Milman. We also generalize the bottleneck conjecture
in the context of indefinite orthogonal geometry and prove some special
cases of the generalization.
Archive classification: Metric Geometry; Differential Geometry;
Functional Analysis
Report Number: UC Davis Math 1998-14
Remarks: 7 pages, 2 figures
The source file, bottleneck.tex, has length 35971 bytes and is stored
in gzipped form as 9811119.gz with size 12kb. The corresponding postcript
file has gzipped size 51kb.
Submitted from: greg at math.ucdavis.edu
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From alspach Fri Nov 25 07:37:03 1998
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Fri, 25 Nov 1998 07:37:03 -0600
Date: Fri, 25 Nov 1998 07:37:03 -0600
From: Dale Alspach <alspach at minkowski.math.okstate.edu>
Message-Id: <199812251337.HAA12102 at minkowski.math.okstate.edu>
To: alspach at minkowski.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by Peter G. Casazza, Ole Christensen, and Nigel J. Kalton
Status: R
This is an announcement for the paper "frames of translates" by Peter
G. Casazza, Ole Christensen, and Nigel J. Kalton.
Abstract: We give necessary and sufficient conditions for a subfamily
of regularly spaced translates of a function to form a frame (resp. a
Riesz basis) for its span. One consequence is that if the translates are
taken only from a subset of the natural numbers, then this family is
a frame if and only if it is a Riesz basis. We also consider arbitrary
sequences of translates and show that for sparse sets, having an upper
frame bound is equivalent to the family being a frame sequence. Finally,
we use the fractional Hausdorff dimension to identify classes of exact
frame sequences.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46C05; 46B20
Remarks: 23 pages
The source file, CCKTranslates, has length 44065 bytes and is stored in
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file has gzipped size 74kb.
Submitted from: pete at casazza.math.missouri.edu
The paper may be downloaded from the archive by web browser from URL
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or
http://xxx.lanl.gov/abs/math/9811144
or by email in unzipped form by transmitting an empty message with
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uget 9811144
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From alspach Fri Nov 25 08:50:32 1998
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Fri, 25 Nov 1998 08:50:32 -0600
Date: Fri, 25 Nov 1998 08:50:32 -0600
From: Dale Alspach <alspach at minkowski.math.okstate.edu>
Message-Id: <199812251450.IAA12459 at minkowski.math.okstate.edu>
To: alspach at minkowski.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by Peter G. Casazza and Nigel J. Kalton
Status: R
This is an announcement for the paper "uniqueness of unconditional bases
in c_0-products" by Peter G. Casazza and Nigel J. Kalton.
Abstract: We give counterexamples to a conjecture of Bourgain, Casazza,
Lindenstrauss and Tzafriri that if X has a unique unconditional basis
(up to permutation) then so does c_0(X). In particular, we show that
for Tsirelson's space T, every unconditional basis of c_0(T) must be
equivalent to a subsequence of the canonical basis but c_0(T) still fails
to have a unique unconditional basis. We also give some positive results
including a simpler proof that c_0(l_1)has a unique unconditional basis.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B15; 46B07
Remarks: 23 pages; to appear: Studia Math
The source file, CProducts, has length 49849 bytes and is stored in
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file has gzipped size 79kb.
Submitted from: pete at casazza.math.missouri.edu
The paper may be downloaded from the archive by web browser from URL
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or
http://xxx.lanl.gov/abs/math/9811145
or by email in unzipped form by transmitting an empty message with
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uget 9811145
or in gzipped form by using subject line
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to: math at xxx.lanl.gov.
From alspach Fri Nov 25 09:01:12 1998
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Fri, 25 Nov 1998 09:01:12 -0600
Date: Fri, 25 Nov 1998 09:01:12 -0600
From: Dale Alspach <alspach at minkowski.math.okstate.edu>
Message-Id: <199812251501.JAA12592 at minkowski.math.okstate.edu>
To: alspach at minkowski.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by Peter G. Casazza and Ole Christensen
Status: R
This is an announcement for the paper "Weyl-Heisenberg frames for
subspaces of L^2(R)" by Peter G. Casazza and Ole Christensen.
Abstract: We give sufficient conditions for translates and modulates of
a function g in L^2(R) to be a frame for its closed linear span. Even
in the case where this family spans all of L^2(R), wou conditions are
significantly weaker than the previous known conditions.
Archive classification: Functional Analysis
Mathematics Subject Classification: 42C15; 46C05; 46B20
Remarks: 13 pages
The source file, WHSequences, has length 23391 bytes and is stored in
gzipped form as 9811146.gz with size 8kb. The corresponding postcript
file has gzipped size 56kb.
Submitted from: pete at casazza.math.missouri.edu
The paper may be downloaded from the archive by web browser from URL
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http://xxx.lanl.gov/abs/math/9811146
or by email in unzipped form by transmitting an empty message with
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From alspach Fri Nov 25 09:02:35 1998
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Fri, 25 Nov 1998 09:02:35 -0600
Date: Fri, 25 Nov 1998 09:02:35 -0600
From: Dale Alspach <alspach at minkowski.math.okstate.edu>
Message-Id: <199812251502.JAA12652 at minkowski.math.okstate.edu>
To: alspach at minkowski.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by Peter G. Casazza
Status: R
This is an announcement for the paper "Local theory of frames and Schauder
bases for Hilbert space" by Peter G. Casazza.
Abstract: We develope a local theory for frames on finite dimensional
Hilbert spaces. In particular, a bounded frame on a finite dimensional
Hilbert space contains a subset which is a good Riesz basis for a
percentage (arbitrarily close to one) of the space. We also construct
a normalized frame for a Hilbert space which contains a subset which is
a Schauder basis for H but does not contain any subset which is a Riesz
basis for H.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46C05; 46B07
Remarks: 15 pages; to appear: Illinois J. Math
The source file, LocalFrames, has length 38159 bytes and is stored in
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file has gzipped size 62kb.
Submitted from: pete at casazza.math.missouri.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/9811147
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or by email in unzipped form by transmitting an empty message with
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uget 9811147
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to: math at xxx.lanl.gov.
From alspach Fri Nov 25 09:04:13 1998
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Fri, 25 Nov 1998 09:04:13 -0600
Date: Fri, 25 Nov 1998 09:04:13 -0600
From: Dale Alspach <alspach at minkowski.math.okstate.edu>
Message-Id: <199812251504.JAA12712 at minkowski.math.okstate.edu>
To: alspach at minkowski.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by Peter G. Casazza
Status: R
This is an announcement for the paper "Every frame is a sum of three
(but not two) orthonormal bases, and other frame representations"
by Peter G. Casazza.
Abstract: We show that every frame for a Hilbert space H can be written
as a (multiple of a) sum of three orthonormal bases for H. A result of
N.J. Kalton is included which shows that this is best possible in that: A
frame can be represented as a linear combination of two orthonormal bases
if and only if it is a Riesz basis. We further show that every frame
can be written as a (multiple of a) sum of two normalized tight frames
or as a sum of an orthonormal basis and a Riesz basis for H. Finally,
every frame can be represented as a (multiple of a) average of two
orthonormal bases for a larger Hilbert space.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B20; 46C05
Remarks: to appear: J. of Fourier Anal. and Appl's
The source file, SumONB, has length 17498 bytes and is stored in gzipped
form as 9811148.gz with size 6kb. The corresponding postcript file has
gzipped size 38kb.
Submitted from: pete at casazza.math.missouri.edu
The paper may be downloaded from the archive by web browser from URL
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From alspach Fri Nov 25 09:06:07 1998
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Fri, 25 Nov 1998 09:06:07 -0600
Date: Fri, 25 Nov 1998 09:06:07 -0600
From: Dale Alspach <alspach at minkowski.math.okstate.edu>
Message-Id: <199812251506.JAA12787 at minkowski.math.okstate.edu>
To: alspach at minkowski.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by Peter G.Casazza
Status: R
This is an announcement for the paper "Characterizing Hilbert space
frames with the subframe property" by Peter G.Casazza.
Abstract: We characterize Riesz frames and frames with the subframe
property and use this to answer most of the questions from the literature
concerning these properties and their relationships to the projection
methods etc.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46C05; 46B03; 46N99
Citation: 41 No. 4 (1997) Illinois J. Math, p 648-666
The source file, SubframeProperty, has length 48728 bytes and is stored
in gzipped form as 9811149.gz with size 12kb. The corresponding postcript
file has gzipped size 73kb.
Submitted from: pete at casazza.math.missouri.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/9811149
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http://xxx.lanl.gov/abs/math/9811149
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From alspach Fri Dec 1 02:54:27 1998
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Fri, 1 Dec 1998 02:54:27 -0600
Date: Fri, 1 Dec 1998 02:54:27 -0600
From: Dale Alspach <alspach at minkowski.math.okstate.edu>
Message-Id: <199901010854.CAA21014 at minkowski.math.okstate.edu>
To: alspach at minkowski.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by M. Rudelson
Status: R
This is an announcement for the paper "Sections of the difference body"
by M. Rudelson.
Abstract: Let $K$ be an $n$-dimensional convex body. Define the difference
body by $$ K-K= \{ x-y \mid x,y \in K \}. $$ We estimate the volume of
the section of $K-K$ by a linear subspace $F$ via the maximal volume of
sections of $K$ parallel to $F$. We prove that for any $m$-dimensional
subspace $F$ there exists $x \in R^n$, such that $$ vol ((K-K) \cap F)
\le C^m ( \min ( n/m, \sqrt{m} ) )^m \cdot vol (K \cap (F+x)), $$ for
some absolute constant $C$. We show that for small dimensions of $F$
this estimate is exact up to a multiplicative constant.
Archive classification: Functional Analysis; Metric Geometry
Mathematics Subject Classification: 52A20, 52A39 (Primary), 46B07
(Secondary)
Remarks: 10 pages, AMSTeX
The source file, vol.tex, has length 17417 bytes and is stored in
gzipped form as 9812008.gz with size 6kb. The corresponding postcript
file has gzipped size 44kb.
Submitted from: rudelson at leibniz.math.missouri.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/9812008
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From alspach Tue Dec 1 02:57:57 1998
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Tue, 1 Dec 1998 02:57:57 -0600
Date: Tue, 1 Dec 1998 02:57:57 -0600
From: Dale Alspach <alspach at minkowski.math.okstate.edu>
Message-Id: <199901010857.CAA21110 at minkowski.math.okstate.edu>
To: alspach at minkowski.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by M. Rudelson
Status: R
This is an announcement for the paper "Distances between non--symmetric
convex bodies and the $MM^*$-estimate" by M. Rudelson.
Abstract: Let $K, D$ be $n$-dimensional convex bodes. Define the distance
between $K$ and $D$ as $$ d(K,D) = \inf \{ \lambda \ | \ T K \subset
D+x \subset \lambda \cdot TK \}, $$ where the infimum is taken over
all $x \in R^n$ and all invertible linear operators $T$. Assume that
$0$ is an interior point of $K$ and define $$ M(K) =\int_{S^{n-1}} \|
\omega \|_K d \mu (\omega), $$ where $\mu$ is the uniform measure on the
sphere. Let $K^{\circ}$ be the polar body of $K$. We use the difference
body estimate to prove that $K$ can be embedded into $R^n$ so that $$
M(K) \cdot M(K^{\circ}) \le C n^{1/3} \log^a n $$ for some absolute
constants $C$ and $a$. We apply this result to show that the distance
between two $n$-dimensional convex bodies does not exceed $n^{4/3}$
up to a logarithmic factor.
Archive classification: Functional Analysis; Metric Geometry
Mathematics Subject Classification: 46B07, 46B09 52A20
Remarks: 15 pages, AMSTeX
The source file, distance.tex, has length 32556 bytes and is stored in
gzipped form as 9812010.gz with size 10kb. The corresponding postcript
file has gzipped size 60kb *** WARNING: PS CHECK ABORTED after
60s ***.
Submitted from: rudelson at leibniz.math.missouri.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/9812010
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From alspach Wed Dec 9 04:29:41 1998
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Wed, 9 Dec 1998 04:29:41 -0600
Date: Wed, 9 Dec 1998 04:29:41 -0600
From: Dale Alspach <alspach at minkowski.math.okstate.edu>
Message-Id: <199901081029.EAA03702 at minkowski.math.okstate.edu>
To: alspach at minkowski.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by M. Frank, V. I. Paulsen and T. R. Tiballi
Status: R
This is an announcement for the paper "Symmetric approximation of
frames and bases in Hilbert spaces" by M. Frank, V. I. Paulsen and
T. R. Tiballi .
Abstract: We consider existence and uniqueness of symmetric approximation
of frames by normalized tight frames and of symmetric orthogonalization
of bases by orthonormal bases in Hilbert spaces H . More precisely,
we determine whether a given frame or basis possesses a normalized
tight frame or orthonormal basis that is quadratically closest to it,
if there exists such frames or bases at all. A crucial role is played by
the Hilbert-Schmidt property of the operator (P-|F|) , where F is the
adjoint operator of the frame transform F*: H --> l_2 of the initial
frame or basis and (1-P) is the projection onto the kernel of F . The
result is useful in wavelet theory.
Archive classification: Functional Analysis
Remarks: 16 pages, LaTeX2e, no macros, no figures, submitted
The source file, frankpaulsentiballi.tex, has length 58792 bytes and is
stored in gzipped form as 9812052.gz with size 15kb. The corresponding
postcript file has gzipped size 78kb.
Submitted from: frank at math.uh.edu
The paper may be downloaded from the archive by web browser from URL
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From alspach Thu Dec 10 02:49:33 1998
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Thu, 10 Dec 1998 02:49:33 -0600
Date: Thu, 10 Dec 1998 02:49:33 -0600
From: Dale Alspach <alspach at minkowski.math.okstate.edu>
Message-Id: <199901090849.CAA09382 at minkowski.math.okstate.edu>
To: alspach at minkowski.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by Beata Randrianantoanina
Status: R
This is an announcement for the paper "Injective isometries in Orlicz
spaces" by Beata Randrianantoanina.
Abstract: We show that injective isometries in Orlicz space $L_M$ have
to preserve disjointness, provided that Orlicz function $M$ satisfies
$\Delta_2$-condition, has a continuous second derivative $M''$, satisfies
another ``smoothness type'' condition and either
$\lim_{t\to0} M''(t) = \infty$ or $M''(0) = 0$ and $M''(t)>0$ for
all $t>0$.
The fact that surjective isometries of any rearrangement-invariant
function space have to preserve disjointness has been determined
before. However dropping the assumption of surjectivity invalidates the
general method. In this paper we use a differential technique.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B
Remarks: 20 pages, 2 figures, to appear in the Proceedings of the
Third Conference on Function Spaces held in Edwardsville in May 1998,
Contemporary Math
The source file, orlicz6.tex, has length 62187 bytes and is stored in
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file has gzipped size 89kb.
Submitted from: randrib at muohio.edu
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