Messages from 1989
#1
Date: Sun, 25 Jun 89 17:13:29 CDT
From: WBJ7835 at venus.tamu.EDU (Bill Johnson)
Subject: UT-A&M IFAS-1st announcement
To: banach%nemo.math.okstate.edu at relay.cs.NET
X-VMS-Mail-To: EXOS%"banach%nemo.math.okstate.edu at relay.cs.NET"
Message-ID: <890625171329.20411C20041 at venus.tamu.edu>
FIRST ANNOUNCEMENT, UT-A&M IRFAS
The U.T.-A&M Informal Regional Functional Analysis Seminar
will meet Sunday, July 23 and Monday, July 24 in
Milner Hall at Texas A&M.
We expect the first talk to be at 1:00 PM July 23 and the
meeting to adjourn in mid-afternoon on July 24. Hour
Speakers will include Domingo Herrero, Arizona State;
Frank Gilfeather, University of New Mexico; Gilles Pisier, A&M;
Denny Leung, UT (Title: Lattice properties of spaces of
operators"; and one element of {Ted Odell, Haskell Rosenthal,
Thomas Schlumprecht}, UT. We also expect to have a half-hour
talk from one member of {Gideon Schechtman, Joel Zinn}, A&M,
and possibly also by Yehoram Gordon, A&M.
We expect to be able to cover housing for a small (i.e., single-
digit) number of participants. Preference will be given to
participants who do not have other sources of support, such as
sponsored research grants.
Their will a swimming/eating/etc. party at Jan & Bill
Johnson's the evening of the 23rd for participants and
companions. Please try let Bill know in advance
if you are coming.
Here are some local motels. If you make
reservations yourself, ask for A&M and government rates.
Motels with which we have had good experiences are starred;
approximate single/double special rates are listed.
In Southwood Valley, where most local participants live:
*Quality Inn, 2514 Texas Av S, (409) 696-6988, $29/34.
*Manor House Inn, 2504 Texas Av S, (409) 764-9540, $35/40.
Ponderosa Motor Inn, 3702 Texas Av S, (409) 693-6810, $19/24.
On campus:
Memorial Student Center Guest Rooms, (409) 845-8909, $32/37.
Near campus, but not fun to walk:
*Hampton Inn, 320 Texas Av S, (409) 846-0184, $35/41.
La Quinta Inn, 607 Texas Av S, (409) 696-5900, $29/34.
Holiday Inn, 1503 Texas Av S, (409) 693-1736, $35/40.
Comfort Inn, 104 Texas Av S, (409) 846-733, $35/
Western Motel, 204 Texas Av S, (409) 846-5757, $16/20.
Generally considered the top place in town:
Hilton, 801 University Dr E, (409) 693-7500 $42/56.
Bill Johnson
wbj7835 at tamvenus.bitnet (preferred)
(409) 845-2722 office
(409) 696-2812 home
#2
Date:June 26, 1989
From alspach%nemo.math.okstate.edu (Dale Alspach)
Subject:Index
Subscribers,
To get a list of the available files for the Banach space bulletin
board use the command (to mailserv%nemo.math.okstate.edu at relay.cs.net)
send [banach]index.txt
Also note that you cannot reply to the mailserver because the return address is
mailserv-reply not just mailserv.
Dale
From IN%"WBJ7835 at venus.tamu.EDU" 11-JUL-1989 21:21:21.04
To: banach%nemo.math.okstate.edu at relay.cs.NET
CC:
Subject: SECOND ANNOUNCEMENT, UTAMIRFAS
Received: by venus id <2041B456041 at venus.tamu.edu> ; Tue, 11 Jul 89 16:03:20 CDT
Date: Tue, 11 Jul 89 15:59:34 CDT
From: WBJ7835 at venus.tamu.EDU
To: banach%nemo.math.okstate.edu at relay.cs.NET
X-VMS-Mail-To: EXOS%"banach%nemo.math.okstate.edu at relay.cs.NET"
Message-ID: <890711155934.2041B456041 at venus.tamu.edu>
SECOND ANNOUNCEMENT, UTAMIRFAS
The U.T.-A&M Informal Regional Functional Analysis Seminar
will meet Sunday, July 23 and Monday, July 24 in
317 Milner Hall at Texas A&M.
Schedule
Sunday, July 23
1:00 Coffee
1:30 Domingo Herrero, Arizona State: "Why is it so difficult
to solve the operator equation f(A) = T?"
3:00 Thomas Schlumprecht, UT: "Weakly null FDD's in Banach spaces
not containing $\ell^1$"
4:30 Joel Zinn, A&M: "Square exponential bounds for the euclidean
norm on convex bodies"
Monday, July 24
8:30 Coffee and donuts
9:00 Denny Leung, UT: "Lattice properties of spaces of operators"
10:30 Gilles Pisier, A&M: "Complex interpolation and factorization
for operator valued $H_p$-spaces"
1:00 Frank Gilfeather, University of New Mexico: "Cohomolgy in
operator algebras"
2:30 Yehoram Gordon, A&M: "Dvoretzky's theorem for quasi-normed
spaces"
We expect to be able to cover housing for a small (i.e., single-
digit) number of participants. Preference will be given to
participants who do not have other sources of support, such as
sponsored research grants.
Their will a swimming/eating/etc. party at Jan & Bill
Johnson's starting at about 5:30 on the 23rd for participants
and companions. Please try let Bill know in advance
if you are coming.
Here are some local motels. If you make
reservations yourself, ask for A&M and government rates.
Motels with which we have had good experiences are starred;
approximate single/double special rates are listed. I just
found out that rooms are scarce because of fireman's school;
it might be best to ask me to make your reservation.
In Southwood Valley, where most local participants live:
*Quality Inn, 2514 Texas Av S, (409) 696-6988, $29/34.
*Manor House Inn, 2504 Texas Av S, (409) 764-9540, $35/40.
Ponderosa Motor Inn, 3702 Texas Av S, (409) 693-6810, $19/24.
On campus:
Memorial Student Center Guest Rooms, (409) 845-8909, $32/37.
Near campus, but not fun to walk:
*Hampton Inn, 320 Texas Av S, (409) 846-0184, $35/41.
La Quinta Inn, 607 Texas Av S, (409) 696-5900, $29/34.
Holiday Inn, 1503 Texas Av S, (409) 693-1736, $35/40.
Comfort Inn, 104 Texas Av S, (409) 846-733, $35/
Western Motel, 204 Texas Av S, (409) 846-5757, $16/20.
Generally considered the top place in town:
Hilton, 801 University Dr E, (409) 693-7500 $42/56.
Next door to Hilton; also quite nice:
Inn at Chimney Hill, 901 University Dr E (409) 260-9150 $39/48.
Some of the rates include some kind of breakfast and/or cocktails
(e.g., Comfort Inn; Hampton Inn; Inn at Chimney Hill; Manor House).
KrazyKwiz:
1. Who has been learning TeX?
2. Who came up with the title for the Sunday 3 o'clock talk?
(a) E. Odell (b) H_p Rosenthal (c) T. Schlumprecht (d) P. \Orno
3. What is Pisier's current nationality?
Give reasons for your answers.
Bill Johnson
wbj7835 at tamvenus.bitnet (preferred)
(409) 845-2722 office
(409) 696-2812 home
From IN%"ALSPACH at NEMO.MATH.OKSTATE.EDU" 20-JUL-1989 09:25:04.89
To: BANACH at NEMO.MATH.OKSTATE.EDU
CC:
Subj: biblio.tex
Date: Thu, 20 Jul 89 09:22 CDT
From: ALSPACH at NEMO.MATH.OKSTATE.EDU
Subject: biblio.tex
To: BANACH at NEMO.MATH.OKSTATE.EDU
X-VMS-To: BANACH
Dear subscribers,
A file containing references in AMSTeX/TeX format is now available for
downloading. The file originated with Bill Johnson. If you have papers typed in any TeX dialect please send a copy of the references to me and I will incorporate them into the list. Also if you note any errors or you have more complete
versions let me know. To get a copy of the file use the command
send [banach]biblio.tex
(to mailserv%nemo.math.okstate.edu at relay.cs.net).
Dale
From IN%"WBJ7835 at venus.tamu.EDU" 4-AUG-1989 09:34:42.81
To: BANACH%nemo.math.okstate.edu at relay.cs.NET
CC:
Subj: figjohnschec.abs
Date: Thu, 3 Aug 89 23:12:36 CDT
From: WBJ7835 at venus.tamu.EDU
Subject: figjohnschec.abs
To: BANACH%nemo.math.okstate.edu at relay.cs.NET
X-VMS-Mail-To: EXOS%"BANACH%nemo.math.okstate.edu at RELAY.CS.NET"
Message-ID: <890803231236.2041DD82041 at venus.tamu.edu>
%The full paper is available for downloading from the
%Banach space bulletin board; it, like the abstract,
%is written in plain TeX.
%Transmit the command
%send [banach]figjohnschec.tex
%to mailserv.nemo.math.okstate.edu at relay.cs.net
%to get a copy of the paper.
\magnification \magstep1 \openup 2\jot \def \qed {\vrule height6pt
width6pt depth0pt}
\nopagenumbers
\centerline{\bf{Factorizations of natural embeddings of $l_p^n$ into $L_r$,
II}}
\centerline { by}
\centerline { T.~Figiel, W.~B.~Johnson, and G.~Schechtman}
\bigskip
\centerline{\bf Abstract}
\bigskip
This is a continuation of the paper [FJS]
with a similar title. Several results
from there are strengthened, in particular: 1. If $T$ is a ``natural"
embedding of $l_2^n$ into $L_1$ then, for any well-bounded
factorization of $T$
through an $L_1$ space in the form $T=uv$ with $v$ of norm one, $u$
well-preserves a copy of $l_1^k$ with $k$ exponential in $n$. 2. Any
norm one
operator from a $C(K)$ space which well-preserves a copy of $l_2^n$
also well-preserves a copy of $l_{\infty}^k$ with $k$ exponential in
$n$. As an application of these and other results we show the existence,
for any $n$, of an $n$-dimensional space which well-embeds into a space with
an unconditional basis only if the latter contains a copy of $l_{\infty}^k$
with $k$ exponential in $n$.
\vfil
\end
From IN%"ALSPACH at NEMO.MATH.OKSTATE.EDU" 7-AUG-1989 15:55:55.32
To: BANACH at NEMO.MATH.OKSTATE.EDU
CC:
Subj: BBS errors
Date: Mon, 7 Aug 89 15:54 CDT
From: ALSPACH at NEMO.MATH.OKSTATE.EDU
Subject: BBS errors
To: BANACH at NEMO.MATH.OKSTATE.EDU
X-VMS-To: BANACH
Dear subscribers,
We are experiencing a problem with messages being incorrectly parsed.
Proper requests are being returned as errors, so delay further requests for a
day or so. We are attempting to track down the source of the problem.
Dale Alspach
Date: Thu, 10 Aug 89 10:06 CDT
From ALSPACH at NEMO.MATH.OKSTATE.EDU
Subject: mailserv
To: BANACH at NEMO.MATH.OKSTATE.EDU
X-VMS-To: BANACH
Dear Subscribers,
The problem with mailserv has been fixed. (New software was installed
on the machine ahead of ours and it was corrupting our mail.) Please resume
using the system.
The mailserv software does not support wildcard matching, but you can
send multiple commands in one message. For example, to get the messages from
June, July and August transmit the following
to mailserv.nemo.math.okstate.edu at relay.cs.net
send [banach]jun_89.mes
send [banach]jul_89.mes
send [banach]aug_89.mes
Each command should be on a separate line.
I will not always send out messages when files are updated. To see if
you have the current version of a file, get a copy of [banach]index.txt and
look at the directory listing at the end of the file. Each file carries a
date of last modification which you can use to determine if a file has been
changed. It is a good idea to request a copy of index.txt periodically to
see what is new on the bulletin board.
Dale
Date: Tue, 26 Sep 89 09:39 CDT
From ALSPACH at NEMO.MATH.OKSTATE.EDU
Subject: abstract
To: banach at NEMO.MATH.OKSTATE.EDU
X-VMS-To: IN%"banach at nemo.math.okstate.edu"
Constructing Unconditional Finite Dimensional Decompositions
by
Dale E. Alspach and Neal L. Carothers
Department of Mathematics Department of Mathematics
Oklahoma State University Bowling Green State University
Stillwater, OK 74078 Bowling Green, OH 43403
Abstract: Primariness of a Banach space is almost always obtained through the
use of the Pelczynski decomposition method. In this paper we show that it is
possible to directly construct UFDD's in many cases from which the primariness
can be deduced. We give applications to l_p, X_p and certain complemented
subspaces of rearrangement invariant sequence spaces.
AMS Subject Classification: 46B20, 46B15.
Keywords: decomposition method, finite dimensional decomposition, primariness,
complemented, weak type.
Note: This paper contains results announced at Oberwolfach in 1986.
Preprints are available from Alspach by mail (post not email because
source was typed in a WYSIWYG word processor).
Date: Thu, 26 Oct 89 09:59 CDT
From: ALSPACH at NEMO.MATH.OKSTATE.EDU
To: banach at NEMO.MATH.OKSTATE.EDU
X-VMS-To: IN%"banach at nemo.math.okstate.edu"
% The abstracts of three papers that are available for downloading
% follow. The abstracts are in (plain) TeX.
\def\square{\vcenter{\hrule height1pt
\hbox{\vrule width1pt height4pt \kern4pt
\vrule width1pt}
\hrule height1pt}}
\def \Bbb {\bf}
\centerline{Convex Bodies with Few Faces}\medskip
\centerline{by}\medskip
\centerline{Keith Ball$^{(1)}$}
\centerline{Texas A\&M University}
\centerline{College Station, TX 77843}\bigskip
\centerline{and}\bigskip
\centerline{Alain Pajor}
\centerline{U.E.R. de Math\'ematiques}
\centerline{Universit\'e de Paris VII}
\centerline{2 Place Jussieu}
\centerline{75251 PARIS CEDEX 05}\bigskip
\noindent {\bf Abstract.} It is proved that if $u_1,\ldots, u_n$ are
vectors in ${\Bbb R}^k, k\le n, 1 \le p < \infty$ and
$$r = \bigg( {1\over k} \sum ^n_1 |u_i|^p\bigg)^{1\over p}$$
\noindent then the volume of the symmetric convex body whose boundary
functionals are \hfil\break $\pm u_1,\ldots, \pm u_n$, is bounded from
below as
$$|\{ x\in {\Bbb R}^k\colon \ |\langle x,u_i\rangle | \le 1 \ \hbox{for
every} \ i\}|^{1\over k} \ge {1\over \sqrt{\rho}r}.$$
\noindent An application to number theory is stated.\vskip1.5in
\noindent A.M.S. (1980) Subject Classification: \ 52A20, 10E05
%**************************************************************
% This paper is available for downloading. Use the command
% send [banach]ballpajor.tex
%****************************************************************
\centerline{\bf Shadows of Convex bodies}\bigskip
\centerline{by}\bigskip
\centerline{Keith Ball$^{(1)}$}
\centerline{Trinity College}
\centerline{Cambridge}\smallskip
\centerline{and}\smallskip
\centerline{Texas A\&M University}
\centerline{College Station, Texas}\bigskip
\noindent {\bf Abstract.} It is proved that if $C$ is a convex body in
${\Bbb R}^n$ then $C$ has an affine image $\widetilde C$ (of non-zero
volume) so that if $P$ is any 1-codimensional orthogonal projection,
$$|P\widetilde C| \ge |\widetilde C|^{n-1\over n}.$$
\noindent It is also shown that there is a pathological body, $K$, all of
whose orthogonal projections have volume about $\sqrt{n}$ times as large as
$|K|^{n-1\over n}$.\vskip3in
\noindent A.M.S. (1980) Subject Classification: \ 52A20, 52A40
%*******************************************************************
% This paper is available for downloading. Use the command
% send [banach]ballshadows.tex
%*******************************************************************
\centerline{\bf Volume ratios and a reverse isoperimetric
inequality}\bigskip
\centerline{Keith Ball$^{(1)}$}
\centerline{Trinity College}
\centerline{Cambridge}\smallskip
\centerline{and}\smallskip
\centerline{Texas A\&M University}
\centerline{College Station, Texas}\bigskip
\noindent {\bf Abstract.} It is shown that if $C$ is an $n$-dimensional
convex body then there is an affine image $\widetilde C$ of $C$ for which
$${|\partial \widetilde C|\over |\widetilde C|^{n-1\over n}}$$
\noindent is no larger than the corresponding expression for a regular
$n$-dimensional ``tetrahedron''. It is also shown that among
$n$-dimensional subspaces of $L_p$ (for each $p\in [1,\infty]),
\ell^n_p$ has maximal volume ratio.\vskip3in
\noindent A.M.S. (1980) Subject Classification: \ 52A20
%***************************************************************
% This paper is available for downloading. Use the command
% send [banach]ballvolratio.tex
%***************************************************************
Date: Fri, 27 Oct 89 10:45 CDT
From ALSPACH at NEMO.MATH.OKSTATE.EDU
Subject: Downloading
To: banach at NEMO.MATH.OKSTATE.EDU
X-VMS-To: IN%"banach at nemo.math.okstate.edu"
Dear Subscribers,
Remember that to download a file the request must be sent to
mailserv%nemo.math.okstate.edu at relay.cs.net
and not to banach. Also a few people have trouble with brackets so "banach:" hasbeen defined to be equivalent to [banach]. This way the command
send banach:ballpajor.tex
is precisely the same as
send [banach]ballpajor.tex
to the machine. I hope this helps.
There are several subscribers who I am unable to identify by their
Email addresses. You may remain anonymous but if you wish to be added to the
address list addresses.eml please identify yourselves to me. You can verify
your status by downloading this file. Use the command
send [banach]addresses.eml
(to mailserv%nemo etc.). If you are on the list and want to be deleted or
change the listed address(es), let me know.
Dale Alspach
Date Thu, 9 Nov 89 10:37 CDT
From: ALSPACH at NEMO.MATH.OKSTATE.EDU
Subject: Abstract of paper by Schechtman and Zinn
To: banach at NEMO.MATH.OKSTATE.EDU
X-VMS-To: IN%"banach at nemo.math.okstate.edu"
\magnification \magstep1 \openup 2\jot
\def \qed {\vrule height6pt width6pt depth0pt}
\def \sgn {{\rm sgn\,}}
\def \rank {{\rm rank\,}}
\def \dim {{\rm dim\,}}
\vbox{\vskip 1truecm}
\centerline{\bf{On the volume of the intersection of two $L_p^n$
balls }}
\centerline { by}
\centerline {G.~Schechtman and J.~Zinn }
\centerline{Abstract}
This note deals with the following problem, the case $p=1$, $q=2$ of
which was introduced to us by Vitali Milman: What is the volume left
in the $L_p^n$ ball after removing a t-multiple of the $L_q^n$ ball?
Recall that the $L_r^n$ ball is the set $\{(t_1,t_2,\dots,t_n);\
t_i\in{\bf R},\ n^{-1}\sum_{i=1}^n|t_i|^r\le 1\}$ and note that for
$0<p<q<\infty$ the $L_q^n$ ball is contained in the $L_p^n$ ball.
In Corollary 4 we show that, after normalizing Lebesgue measure
so that the volume of the $L_p^n$ ball is one, the answer to the
problem above is of order $e^{-ct^pn^{p/q}}$ for $T<t<{1\over 2}n^
{{1\over p}-{1\over q}}$, where $c$ and $T$ depend on $p$ and $q$ but
not on $n$.
The main theorem, Theorem 3, deals with the corresponding question
for the surface measure of the $L_p^n$ sphere.
From IN%"combs at carl.ma.utexas.EDU" "Margaret Combs" 14-NOV-1989 15:00:25.00
To: banach%nemo.math.okstate.edu at relay.cs.NET
CC:
Subj: UTAMIRFAS
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Date: Tue, 14 Nov 89 12:06:26 CST
From: Margaret Combs <combs at carl.ma.utexas.EDU>
Subject: UTAMIRFAS
To: banach%nemo.math.okstate.edu at relay.cs.NET
Posted-Date: Tue, 14 Nov 89 12:06:26 CST
Message-Id: <8911141806.AA02127 at carl.ma.utexas.edu>
********** UPDATE FROM HASKELL ROSENTHAL : 11/14/89 ********************
* indicates changes
U.T. - A&M Informal Regional Functional Analysis Seminar
Saturday, November 18, 1989
Schedule
* 10:30 Coffee and Snacks in Vaughn Lounge (RLM 12.104)
11:00 Vania Mascioni, University of Zurich & TAMU, "Duality of the
uniform approximation property"
12:00 Lunch
2:00 Hans-Olav Tylli, UT, "The Gramsch-Lay conjecture on semi-
Fredholm operators and the Calkin algebra"
3:30 Nicole Tomczak, University of Alberta via TAMU, "Random
quotients of Banach spaces"
* 5:15 Party at Haskell Rosenthal's
* Talks will be in R. L. Moore Hall (12.166) on the University of Texas campus.
For further information contact Haskell Rosenthal (512) 471-4188.
From IN%"ALSPACH at NEMO.MATH.OKSTATE.EDU" 17-NOV-1989 10:30:36.74
To: banach at NEMO.MATH.OKSTATE.EDU
CC:
Subject: Paper by S. Montgomery-Smith and M. Talagrand
Date: Fri, 17 Nov 89 10:28 CDT
From: ALSPACH at NEMO.MATH.OKSTATE.EDU
To: banach at NEMO.MATH.OKSTATE.EDU
X-VMS-To: IN%"banach at nemo.math.okstate.edu"
%This is the abstract of the paper "The Rademacher Cotype of Operators
% from l_\infinity^N" by S. Montgomery-Smith and M. Talagrand. The
%paper is available for downloading. Transmit the command
% send [banach]montsmithtala.tex
% to: mailserv%nemo.math.okstate.edu at relay.cs.net.
\def\TliNY{T:\liN\to Y}
\def\TCKY{T:C(K)\to Y}
\def\pitoT{\pi_{2,1}(T)}
\def\KtT{K^{(2)}(T)}
\def\liN{{l_\infty^N}}
\centerline{\bf The Rademacher Cotype of Operators from $\liN$}
\medskip
\centerline{by}
\medskip
\centerline{\bf S.J.~Montgomery-Smith}
\centerline{\it Department of Mathematics, University of Missouri,}
\centerline{\it Columbia, MO 65211.}
\medskip
\centerline{\bf M.~Talagrand}
\centerline{\it Department of Mathematics, The Ohio State University,}
\centerline{\it 231 W.\ 18th Avenue, Columbus, OH 43210.}
\smallskip
\centerline{\it Equipe d'Analyse -- Tour 46, Universit\'e Paris VI,}
\centerline{\it 4 Place Jussieu, 75230 Paris Cedex 05.}
\bigskip
\beginsection Abstract
We show that for any operator $\TliNY$, where $Y$\ is a Banach
space, that its cotype 2 constant, $\KtT$, is related to its $(2,1)$-summing
norm, $\pitoT$, by
$$ \KtT \le c \, \log\log N \,\, \pitoT .$$
Thus, we can show that there is an operator $\TCKY$\ that has cotype 2, but is
not 2-summing.
\bigskip\noindent{\bf A.M.S.\ Classification:} Primary 46B20, Secondary 60G99
\bye
From IN%"phelps at math.washington.EDU" "Robert Phelps" 18-DEC-1989 20:03:57.69
To: banach%nemo.math.okstate.edu at relay.cs.NET
CC:
Subject: David Preiss
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Date: Mon, 18 Dec 89 11:16:41 PST
From: Robert Phelps <phelps at math.washington.EDU>
To: banach%nemo.math.okstate.edu at relay.cs.NET
Message-Id: <8912181916.AA00370 at decatur.math.washington.edu>
News item from phelps at math.washington.edu
David Preiss was at University College London last week to accept their
offer of the Astor Professorship (the chair from which C. A. Rogers retired).
He has returned to Prague to manage the January, 1990 Prague Winter
School and to finish up his affairs before moving to London around March
with his wife and daughter. This means he will be giving up his Teaching
Assistantship at Charles University, the lowest academic rank in
Czechoslovakia but the highest he could get in light of his opposition to
the Communist Party there.
This is extraordinarily good news to those of us who know and admire his work.
Return to the subject file.
Return to the Banach home page.