Messages from 1990

From	IN%"phelps at math.washington.EDU"  "Robert Phelps"  1-JAN-1990 17:41:15.05
To:	banach%nemo.math.okstate.edu at RELAY.CS.NET
CC:	
Subject:	David Preiss

Received: from A.CS.OKSTATE.EDU by NEMO.MATH.OKSTATE.EDU; Mon, 1 Jan 90 17:38
 CDT
Received: from relay.cs.net by a.cs.okstate.edu id dl04003; 24 Dec 89 4:55 CST
Received: from relay.cs.net by RELAY.CS.NET id aa25627; 22 Dec 89 19:20 EST
Received: from decatur.math.washington.edu by RELAY.CS.NET id aa01075; 22 Dec
 89 18:20 EST
Received: by decatur.math.washington.edu (5.57/UW-NDC Revision: 2.1 ) id
 AA07172; Fri, 22 Dec 89 16:16:02 PST
Date: Fri, 22 Dec 89 16:16:02 PST
From: Robert Phelps <phelps at math.washington.EDU>
To: banach%nemo.math.okstate.edu at RELAY.CS.NET
Message-Id: <8912230016.AA07172 at decatur.math.washington.edu>

Addendum to Preiss news item:
While Preiss was offered and accepted the Astor Professorship at University
College London, approval of the appointment by the University of London
Administration is still pending.  Preiss says there also remain "formalities"
in Prague.  If the appointment goes through, he hopes to be in London
sometime in April, 1990.

Date: Thu, 8 Feb 90 17:41:31 PST


From Robert Phelps <phelps at math.washington.EDU>
To: banach%nemo.math.okstate.edu at relay.cs.NET
Message-Id: <9002090141.AA05351 at coho.math.washington.edu>
Subject: Isaac Namioka

NEWS ITEM:  Isaac Namioka underwent a successful triple coronary bypass
operation on Tuesday, February 6.  He is spending the canonical 24-36 hours
in the Intensive Care Unit, probably another week in the hospital and a 
further six weeks for complete recuperation.  He did not have a heart attack,
but a treadmill test and angiogram showed he was seriously at risk for one
if he postponed the surgery.  

Any get-well messages sent to phelps at math.washington.edu will be printed out
and hand delivered.



From	IN%"MAR63AA%TECHNION.BITNET at cunyvm.cuny.EDU"  "Michael Cwikel" 18-FEB-1990 10:04:55.16
To:	banach at NEMO.MATH.OKSTATE.EDU
CC:	
Subj:	Announcement of a forthcoming conference on interpolation spaces etc.

Received: from A.CS.OKSTATE.EDU by NEMO.MATH.OKSTATE.EDU; Sun, 18 Feb 90 10:03
 CDT
Received: from relay.cs.net by a.cs.okstate.edu id ac29158; 18 Feb 90 10:01 CST
Received: from relay.cs.net by RELAY.CS.NET id aa10635; 18 Feb 90 5:11 EST
Received: from cunyvm.cuny.edu by RELAY.CS.NET id aa03831; 18 Feb 90 4:10 EST
Received: from TECHNION.TECHNION.AC.IL by CUNYVM.CUNY.EDU (IBM VM SMTP
 R1.2.2MX) with BSMTP id 8088; Sun, 18 Feb 90 05:09:17 EST
Received: from TECHNION (MAR63AA) by TECHNION.TECHNION.AC.IL (Mailer R2.05)
 with BSMTP id 4997; Sun, 18 Feb 90 12:01:28 IST
Date: Sun, 18 Feb 90 12:00:33 IST
From: Michael Cwikel <MAR63AA%TECHNION.BITNET at cunyvm.cuny.EDU>
Subject: Announcement of a forthcoming conference on interpolation spaces etc.
To: banach at NEMO.MATH.OKSTATE.EDU


=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
First Announcement:

A conference on

               INTERPOLATION SPACES AND RELATED TOPICS

Haifa, Israel, June 27 to July 3, 1990

will be held under  the  auspices  of  the  Institute  for  Advanced
Studies  in  Mathematics  of  the  Technion,  Israel  Institute   of
Technology.

Participants will include:
Yuri Brudnyi,  Bjorn  Jawerth,  Nigel  Kalton,
Mario  Milman,  Richard   Rochberg   and   the
undersigned.

We will be very pleased if you can attend and give a talk.

It would be very helpful to hear from you soon, and if  possible  to
know the title of your talk. An abstract would be  even  nicer,  and
the ultimate in niceness would be a camera-ready abstract.

Accommodation: The Technion has accommodation  available  on  campus
and also in its guesthouse in downtown Haifa. The cost is (US)$12.50
per day. (Accompanying adults or children are charged an  additional
$12.50 or $6 respectively.) If you would like to avail  yourself  of
this accommodation please let me know VERY quickly. It is very  much
in demand and should be reserved as  far  in  advance  as  possible.
(There is no cancellation fee if the reservation has to  be  changed
or cancelled, provided this is done more than  15  days  before  the
originally specified date of arrival.) Other hotel accommodation  in
Haifa costs $40 or more per day.

Michael Cwikel

Department of Mathematics   Electronic mail: mar63aa at technion.bitnet

Technion, I.I.T.            Telephone:  (972)(4)  294179 (office)
                                        257359    (home)
Haifa, 32000                            221581    (FAX)
                                        294272    (secretaries)
Israel                      Telex:      46406 TECON IL
-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-



From	IN%"ALSPACH at NEMO.MATH.OKSTATE.EDU" 19-FEB-1990 14:33:27.62
To:	banach-list at NEMO.MATH.OKSTATE.EDU
CC:	
Subj:	New names

Date: Mon, 19 Feb 90 14:33 CDT
From: ALSPACH at NEMO.MATH.OKSTATE.EDU
Subject: New names
To: banach-list at NEMO.MATH.OKSTATE.EDU
X-VMS-To: IN%"banach-list at nemo.math.okstate.edu"

Dear Subscribers,
	In order to prevent some types of errors in sending messages and
requests to the Banach space Bulletin Board, two new names have been
defined for addressing the Bulletin Board. From now on the preferred address
for requesting files will be
	banach-files%nemo.math.okstate.edu at relay.cs.net
The old address mailserv%nemo.math.okstate.edu at relay.cs.net will remain active.
The distribution address will be
	banach-list%nemo.math.okstate.edu at relay.cs.net
Messages sent to banach-list will be forwarded to me for checking prior to
distribution. This will result in a little delay since I typically will check
for new messages only once a day. If prompt distribution without checking is
desired, the old address banach%nemo.math.okstate.edu at relay.cs.net may be used.
I hope the suggestive nature of the names will prevent messages from being
sent to the wrong address.
Dale Alspach



From	IN%"ALSPACH at NEMO.MATH.OKSTATE.EDU" 28-FEB-1990 15:04:48.45
To:	banach at NEMO.MATH.OKSTATE.EDU
CC:	
Subj:	Abstract of paper by Kalton, Saab and Saab

Date: Wed, 28 Feb 90 15:03 CDT
From: ALSPACH at NEMO.MATH.OKSTATE.EDU
Subject: Abstract of paper by Kalton, Saab and Saab
To: banach at NEMO.MATH.OKSTATE.EDU
X-VMS-To: IN%"banach at nemo.math.okstate.edu"

% Please send request of preprints to
%
%Elias Saab
%Department of Mathematics
%University of Missouri-Columbia
%Columbia, MO 65211
%
%E-Mail
%MATHES at UMCVMB.BITNET
%or
%MATHES at UMCVMB.MISSOURI.EDU }
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% This abstract should be TeXed using AmsTeX
%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\magnification=\magstep1
\def\ds{\baselineskip 21pt plus 2pt}
\def\ss{\baselineskip 10pt plus 1pt}
\def\wsl {(\Omega,\Sigma,\lambda)}
\def\czero{\text {\sl c}_\circ}
\def\lpofx { L^p(X)\,}

\font\large=cmr10 scaled \magstep1
\
\vskip .2truein
\centerline {\large $\lpofx \, (1\leq p <\infty)$  Has The Property (u) }
\bigskip
\centerline {\large Whenever $X$  Does}
\
\vskip .2truein
\centerline {\large by }
\vskip .4truein
\centerline {\large Nigel Kalton , Elias Saab and Paulette Saab
}
\bigskip
\
If $X$ is Banach space, $\wsl$ a probability space and $1\leq p <\infty$
we denote by $\lpofx$ the space of $p$-Bochner integrable functions from
$\Omega$ to $X$ equipped with its usual norm.
If $X$ is the scalar field then $\lpofx$ will be denoted by $L^p$.
In the sequel $p$ will always be in the interval $[1,+\infty)$.
For a series $\sum\limits_nx_n$ in the Banach space $X$ we say that
$\sum\limits_nx_n$ is a {\bf weakly unconditionally cauchy (w.u.c)
series} in $X$ if it satisfies one of the following equivalent
statements

\itemitem {a)} $\sum\limits_n |x^*(x_n)|<\infty$, for every $x^* \in
X^*$;

\itemitem {b)} $\sup \left\{\parallel \sum\limits_{n\in
\sigma}x_n\parallel:\ \sigma\text{ finite subset of }\text {\bf N}\right\}<
\infty$;

\itemitem {c)} $\sup\limits_n \sup\limits_{\epsilon_i=\pm 1}
\parallel
\sum\limits^n_{i=1}\epsilon_i x_i\parallel <\infty.$


Pe\l czynski the notions of spaces with property (u).
For this recall that a Banach space $E$ has {\bf property} (u)
if for any weakly Cauchy sequence $(e_n)$ in $E$ there exists a weakly
unconditionally Cauchy series  $\sum\limits_n x_n$ in $E$ such
that the sequence $(e_n-\sum\limits_{i=1}^n x_i)$ converges weakly to
zero in $E$.  Any Banach space $E$ with unconditional basis or more
generally any space with unconditional reflexive decomposition
has (u) and so is the case of any weakly sequentially complete
Banach space and any order continuous Banach lattice. In particular
any $L^p,\; 1\leq p <\infty$ has the property~\u . Another class of
spaces having property~(u) are those spaces which
are M-ideals in their biduals (Godefroy and Li) and
under certain  conditions, spaces of compact operators on a Banach
space
$X$ have the property~(u) (Godefroy and P. Saab).
It is clear
that a Banach space that has the property~\u is weakly sequentially
complete if and only if $\czero$ is not isomorphic to a
closed subspace of $X$.
Kwapien showed that a Banach space $X$  does not contain an
isomorphic
copy of $\czero$, if and only if $\lpofx $ does not either.
Talagrand
showed that if $X$ is weakly sequentially complete then the same is true
for $\lpofx$. In this paper we show  that if $X$ is a Banach space
having the property~(u) then $\lpofx$ has the same property.
An application of the techniques used to prove this result is
given concerning unconditionally convergent operators on $C(K,X)$
spaces.
\bye



From	IN%"ALSPACH at NEMO.MATH.OKSTATE.EDU"  8-MAR-1990 14:42:32.63
To:	banach%nemo.math.okstate.edu at RELAY.CS.NET
CC:	
Subj:	Abstract of paper by E&P Saab

Received: from D.CS.OKSTATE.EDU by NEMO.MATH.OKSTATE.EDU; Thu, 8 Mar 90 14:33
 CDT
Received: from a.cs.okstate.edu by d.cs.okstate.edu id ae11213; 8 Mar 90 14:12
 CST
Received: from relay.cs.net by a.cs.okstate.edu id bw17555; 8 Mar 90 14:04 CST
Received: from relay.cs.net by RELAY.CS.NET id aa22345; 8 Mar 90 14:15 EST
Received: from [192.31.83.65] by RELAY.CS.NET id aa02420; 8 Mar 90 13:14 EST
Received: from nemo.math.okstate.edu by d.cs.okstate.edu id aa10464; 8 Mar 90
 13:02 CST
Date: Thu, 8 Mar 90 13:02 CDT
From: ALSPACH at NEMO.MATH.OKSTATE.EDU
Subject: Abstract of paper by E&P Saab
To: banach%nemo.math.okstate.edu at RELAY.CS.NET
X-VMS-To: IN%"banach%nemo.math.okstate.edu at relay.cs.net"

From:	IN%"MATHES at umcvmb.missouri.EDU"  "Elias Saab"  5-MAR-1990 17:28:46.87
To:	Bannch list <banach-list%nemo.math.okstate.edu at relay.cs.NET>
CC:	
Subj:	

Received: from A.CS.OKSTATE.EDU by NEMO.MATH.OKSTATE.EDU; Mon, 5 Mar 90 17:22
 CDT
Received: from relay.cs.net by a.cs.okstate.edu id bk04356; 5 Mar 90 16:40 CST
Received: from relay.cs.net by RELAY.CS.NET id aa04183; 5 Mar 90 14:51 EST
Received: from umcvmb.missouri.edu by RELAY.CS.NET id aa29412; 5 Mar 90 13:50
 EST
Received: from UMCVMB.BITNET by UMCVMB.MISSOURI.EDU (IBM VM SMTP R1.2) with
 BSMTP id 6886; Mon, 05 Mar 90 13:29:19 CST
Received: by UMCVMB (Mailer R2.05) id 0965; Mon, 05 Mar 90 13:29:10 CST
Date: Mon, 05 Mar 90 13:28:37 CST
From: Elias Saab <MATHES at umcvmb.missouri.EDU>
To: Bannch list <banach-list%nemo.math.okstate.edu at relay.cs.NET>

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%P. S. Please send request of preprints to
%
%Elias Saab
%Department of Mathematics
%University of Missouri-Columbia
%Columbia, MO 65211
%
%E-Mail
%MATHES at UMCVMB.BITNET
%or
%MATHES at UMCVMB.MISSOURI.EDU }
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% This abstract should be TeXed using AmsTeX
%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


\documentstyle{amsppt}

\topmatter
\title On Unconditionally Converging and \\ Weakly Precompact Operators.
\endtitle
\author Elias Saab\\ Paulette Saab
\endauthor
\affil University of Missouri, Columbia, MO, 65211.
\endaffil
\subjclass {46E40, 46G10, 28B05, 28B20}
\abstract {Recently
Abott, Bator, Bilyeu and Lewis showed that if $E$ and $G$ are Banach
spaces such that $F^*$ does not contain a copy of $\ell_1$ and has the
Radon Nikodym property, then each bounded linear operator on
$C(\Omega,F)$
with values in $G$ that is unconditionally conerging has a weakly
precompact adjoint. They asked whether their result remains true if one
drops the hypothesis that $E^*$ has the Radon Nikodym property. In this
note we show that their question has positve solution. Actually we show
the following:
Let $E$, $F$ and $G$ be Banach spaces such that $E^*$ is isometric to
an $L_1$-space, and $F^*$ contains no subspace isomorphic to $\ell_1$.
Let $T:E \hat \otimes_\epsilon F \longrightarrow G$ be a bounded linear
operator. It is shown that $T$ is unconditionally converging
if and only if its adjoint $T^*$ is weakly precompact.
Some similar results are discussed and
some applications are given.}

\endtopmatter
\enddocument



From	IN%"ALSPACH at NEMO.MATH.OKSTATE.EDU"  8-MAR-1990 15:56:31.95
To:	banach at NEMO.MATH.OKSTATE.EDU
CC:	
Subj:	IRFAS

Date: Thu, 8 Mar 90 15:55 CDT
From: ALSPACH at NEMO.MATH.OKSTATE.EDU
Subject: IRFAS
To: banach at NEMO.MATH.OKSTATE.EDU
X-VMS-To: IN%"banach at nemo.math.okstate.edu"

From:	IN%"WBJ7835 at venus.tamu.EDU"  6-MAR-1990 18:52:30.26
To:	banach-list%nemo.math.okstate.edu at relay.cs.NET
CC:	
Subj:	IRFAS

Received: from A.CS.OKSTATE.EDU by NEMO.MATH.OKSTATE.EDU; Tue, 6 Mar 90 18:48
 CDT
Received: from relay.cs.net by a.cs.okstate.edu id am18093; 6 Mar 90 18:14 CST
Received: from relay.cs.net by RELAY.CS.NET id aa20477; 6 Mar 90 15:17 EST
Received: from venus.tamu.edu by RELAY.CS.NET id aa05690; 6 Mar 90 14:16 EST
Date: Tue, 6 Mar 1990 14:18:01 CST
From: WBJ7835 at venus.tamu.EDU
Subject: IRFAS
To: banach-list%nemo.math.okstate.edu at relay.cs.NET
Message-Id: <900306141801.29e097c7 at VENUS.TAMU.EDU>
X-Vmsmail-To: SMTP%"banach-list%nemo.math.okstate.edu at relay.cs.NET"

		ANNOUNCEMENT OF SPRING UTAMIRFAS

The U.T.-A&M Informal Regional Functional Analysis Seminar
will meet Saturday, March 24 and Sunday, March 25  at Texas 
A&M in College Station.  Talks will be in Milner Hall 101.  


					Schedule
Saturday, March 24

 9:30 	Coffee & Donuts, Milner 317
10:00 	A. Arias, Texas A&M, 	Best approximations in the 
		trace class operators
11:15 	D. Leung, University of Texas, Embedding ell^2 
		complementably in  ell^{p,infinity}, 1 < p < infinity
12:15	Break for lunch
 2:00	R. R. Phelps, University of Washington, Preiss' proof 
		that Gateaux smoothable Banach spaces have the 
		weak Asplund property
 3:30	Pei-Kee Lin, University of Texas and Memphis State 
		University, Ultrapowers of rearrangement invariant 
		spaces
 5:00	C. Schutt, Oklahoma State University, The convex 
		floating body of a polytope
 7:00	Dinner at ?????

Sunday, March 25

 9:00	Coffee & Donuts, Milner 317
 9:30	T. Schlumprecht, University of Texas, Stabilizing 
		Lipschitz functions on Banach spaces
10:45	V. Paulsen, Houston, Representations of function 
		algebras and Banach space geometry




We expect to be able to cover housing for a small number of 
participants.  Preference will be given to participants who do 
not have other sources of support, such as sponsored research 
grants.


Here are some local motels. I'll be happy to make reservations, 
but keep in mind that I'll be out of town March 7-12. If you 
make reservations yourself, ask for A&M and government 
rates. Motels with which we have had good experiences are 
starred.

In Southwood Valley, where most local participants live:
*Quality Inn, 2514 Texas Av S, (409) 696-6988, 	
*Manor House Inn, 2504 Texas Av S, (409) 764-9540,
Ponderosa Motor Inn, 3702 Texas Av S, (409) 693-6810,

On campus:
Memorial Student Center Guest Rooms, (409) 845-8909.

Near campus, but not fun to walk:
*Hampton Inn, 320 Texas Av S, (409) 846-0184,		
*La Quinta Inn, 607 Texas Av S, (409) 696-5900, 	
Holiday Inn, 1503 Texas Av S, (409) 693-1736, 	
Comfort Inn, 104 Texas Av S, (409) 846-733, 
Western Motel, 204 Texas Av S, (409) 846-5757.

Generally considered the top place in town:
Hilton, 801 University Dr E, (409) 693-7500 
Next door to Hilton:
Inn at Chimney Hill, 901 University Dr E (409) 260-9150.

Some motels include some kind of breakfast and/or cocktails 
(e.g., Comfort Inn; Hampton Inn; Inn at Chimney Hill; Manor 
House) with the room.

Please let me know if you will come to a dinner on March 24, 
preferably by March 13.  Where we hold the dinner depends 
on the number and I may not be able to add you to the list 
later.

Bill Johnson
wbj7835 at tamvenus		(preferred)
(409) 845-2722			office
(409) 696-2812			home



From	IN%"ALSPACH at NEMO.MATH.OKSTATE.EDU" 15-MAR-1990 10:01:13.34
To:	banach at NEMO.MATH.OKSTATE.EDU
CC:	
Subject:	Paper by P. Saab

Date: Thu, 15 Mar 90 10:00 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 "Integral Operators on Spaces
%of Continuous Vector-valued Functions" by P. Saab. The paper is
%available for downloading. Transmit the command
%	send [banach]psaab.tex
%to banach-files%nemo.math.okstate.edu at relay.cs.net. Both the abstract
%and the paper are in AMSTeX.
%
\pageno=0
\footline={\ifnum\pageno=0\hfill\else\hss\tenrm\folio\hss\fi}
\def\Otimes{\operatornamewithlimits{\otimes}}
\font\bigbold=cmbx10 scaled \magstep2
\def\ans{\vrule height.1pt width80pt depth0pt}
\font\sll=cmr10
\def\sle{\hbox{$e\textfont1=\sll$}}
%
\voffset=1in
\centerline {\bigbold Integral Operators on Spaces of}
\centerline {\bigbold Continuous Vector-valued functions}
\vskip 1truein
\centerline {by}
\vskip .50truein
\centerline {\bf Paulette Saab$^*$}
\vskip 1truein

{\narrower\smallskip\noindent {\bf Abstract}\ \ Let $X$ be a compact
Hausdorff space, let
$E$ be a Banach space, and let $C(X,E)$ stand for the Banach space of
$E$-valued continuous functions on $X$ under the uniform norm.
In this paper we
characterize Integral operators (in the sense of Grothendieck) on
$C(X,E)$ spaces in term of their representing vector measures.  This is
then used to give some applications to Nuclear operators on $C(X,E)$
spaces.\smallskip}
\vskip 2truein
{\narrower\smallskip\noindent AMS(MOS) subject Classification (1980).
Primary
46E40,
46G10;\ Secondary 28B05, 28B20.\smallskip}

\bye



From	IN%"ALSPACH at NEMO.MATH.OKSTATE.EDU" 27-MAR-1990 14:49:07.85
To:	banach at NEMO.MATH.OKSTATE.EDU
CC:	
Subject:	Paper by P. Saab. and B. Smith

Date: Tue, 27 Mar 90 14:45 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"

%Abstract of the paper "Nuclear operators on spaces of continuous vector-valued
%functions" by P. Saab. and B. Smith. The paper is available for downloading.
%Transmit the command
%	send [banach]saabsmith.atx
%to banach-files%nemo.math.okstate.edu at relay.cs.net
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% To appear in Glasgow  Mathematical Journal    %%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% This should be TeXed using AmsTeX              %%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\magnification=\magstep1
\def\ds{\baselineskip 20pt plus 2pt}
\def\ss{\baselineskip 10pt plus 1pt}
\ss
\def\N{\Bbb N}
\voffset=1in
\def\ans{\vrule height.1pt width80pt depth0pt}
\def\nuc{\operatorname{nuc}}
%
\pageno=1
\footline={\ifnum\pageno=1\hfill\else\hss\tenrm\folio\hss\fi}
\font\sl=cmbsy10
\def\slN{\hbox{$N \textfont1=\sl$}}
\def\slA{\hbox{$A \textfont1=\sl$}}
\font\bigbold=cmbx10 scaled \magstep2
\centerline {\bigbold Nuclear Operators on Spaces}
\centerline {\bigbold of Continuous Vector-Valued Functions}
\vskip.75truein
\centerline {by}
\vskip.75truein
\centerline {\bf Paulette Saab$^*$ and Brenda Smith}
\vskip 1truein
{\narrower\smallskip\noindent {\bf Abstract}\ \ Let $\Omega$ be a
compact Hausdorff space, let $E$ be a Banach space, and let $C(\Omega,
E)$ stand for the Banach space of all $E$-valued continuous functions on
$\Omega$ under supnorm.  In this paper we study when nuclear operators
on $C(\Omega, E)$ spaces can be completely characterized in terms of
properties of their representing vector measures.  We also show that if
$F$ is a Banach space and if $T:\ C(\Omega, E)\rightarrow F$ is a
nuclear operator, then $T$ induces a bounded linear operator $T^\#$ from
the space $C(\Omega)$ of scalar valued continuous functions on $\Omega$
into $\slN(E,F)$ the space of nuclear operators from $E$ to $F$, in this
case we show that $E^*$ has the  Radon-Nikodym property if and
only if $T^\#$ is nuclear whenever $T$ is nuclear.
\vskip2truein
\noindent AMS(MOS) Subject Classification (1980)\hfill\break
Primary 46E40, 46G10, 47B10, Secondary 28B05, 28B20

\bye



From	IN%"phelps%math.washington.edu at RELAY.CS.NET"  "Robert Phelps" 25-APR-1990 16:52:32.65
To:	banach%nemo.math.okstate.edu at RELAY.CS.NET
CC:	
Subject:	Paper by David Preiss, R. R.  Phelps and I. Namioka

Received: from D.CS.OKSTATE.EDU by NEMO.MATH.OKSTATE.EDU; Wed, 25 Apr 90 16:51
 CDT
Received: from relay.cs.net by d.cs.okstate.edu id aa05347; 25 Apr 90 15:30 CST
Received: from decatur.math.washington.edu by RELAY.CS.NET id aa00878; 25 Apr
 90 14:45 EDT
Received: by decatur.math.washington.edu (5.57/UW-NDC Revision: 2.1 ) id
 AA04121; Wed, 25 Apr 90 11:36:58 PDT
Date: Wed, 25 Apr 90 11:36:58 PDT
From: Robert Phelps <phelps%math.washington.edu at RELAY.CS.NET>
To: banach%nemo.math.okstate.edu at RELAY.CS.NET
Message-Id: <9004251836.AA04121 at decatur.math.washington.edu>

I have preprints available of the following paper: "Smooth Banach spaces,
weak Asplund spaces and monotone or usco mappings" by David Preiss, R. R.
Phelps and I. Namioka.
ABSTRACT:  It is shown that if a real Banach space  E  admits an equivalent
Gateaux differentiable norm, then for every continuous convex function  f on
E  there exists a dense G-delta subset of  E  at every point of which  f  is
Gateaux differentiable.  More generally, for any maximal monotone operator  T
On such a space, there exists a dense  G-delta  subset (in the interior of
its essential domain) at every point of which  T  is single-valued.  The same
techniques yield results about stronger forms of differentiability and about
generically continuous selections for certain upper-semicontinuous compact-set-
valued maps.

The paper has not been put into TeX, so preprints will be sent by snailmail.
After May 4 I will not be in Seattle, but email to namioka at math.washington.edu
will have the same effect.



From	IN%"ALSPACH at NEMO.MATH.OKSTATE.EDU"  3-APR-1990 08:43:42.45
To:	banach at NEMO.MATH.OKSTATE.EDU
CC:	
Subj:	Request for info on hiring practices from E. Saab

Date: Tue, 3 Apr 90 08:42 CDT
From: ALSPACH at NEMO.MATH.OKSTATE.EDU
Subject: Request for info on hiring practices from E. Saab
To: banach at NEMO.MATH.OKSTATE.EDU
X-VMS-To: IN%"banach at nemo.math.okstate.edu"

From:	IN%"MATHES at umcvmb.missouri.EDU"  "Elias Saab"  2-APR-1990 14:41:04.05
To:	Bannch list <banach-list%nemo.math.okstate.edu at RELAY.CS.NET>
CC:	
Subj:	Question to the subscribers

Received: from D.CS.OKSTATE.EDU by NEMO.MATH.OKSTATE.EDU; Mon, 2 Apr 90 14:38
 CDT
Received: from a.cs.okstate.edu by d.cs.okstate.edu id af18805; 2 Apr 90 11:10
 CST
Received: from relay.cs.net by a.cs.okstate.edu id ah00127; 2 Apr 90 11:56 CST
Received: from relay.cs.net by RELAY.CS.NET id aa12531; 30 Mar 90 9:17 EST
Received: from umcvmb.missouri.edu by RELAY.CS.NET id aa28365; 30 Mar 90 8:16
 EST
Received: from UMCVMB.BITNET by UMCVMB.MISSOURI.EDU (IBM VM SMTP R1.2) with
 BSMTP id 2726; Fri, 30 Mar 90 08:15:31 CST
Received: by UMCVMB (Mailer R2.05) id 0388; Fri, 30 Mar 90 08:14:56 CST
Date: Fri, 30 Mar 90 08:13:29 CST
From: Elias Saab <MATHES at umcvmb.missouri.EDU>
Subject: Question to the subscribers
To: Bannch list <banach-list%nemo.math.okstate.edu at RELAY.CS.NET>

Dear Colleagues:
We are having some problems with our Provost on what kind of offer the
department can give to international applicants in case they are not
permanent resident of the United States.
I would like to receive an answer for the following questions from those of
you who are in the US.


Does your university prevent you from giving a tenure track offer to an
applicant who is not a US citizen nor a permanent resident ?


Our university thinks that we should first give them a non regular position
like a visiting position first then when they get the proper visa we can
change their position to a regular one.
We are of course disagreeing with them, since we did not use to do it like
before and we believe that other universities are hiring tenure track people
on H-1 visa first and then apply for them for a PR card. I would appreciate
receiving as many responses as possible.
Best Regards
Elias Saab
MATHES at UMCVMB.BITNET
MATHES at UMCVMB.MISSOURI.EDU



From	IN%"ALSPACH at NEMO.MATH.OKSTATE.EDU" 17-MAY-1990 09:22:38.81
To:	banach at NEMO.MATH.OKSTATE.EDU
CC:	
Subj:	Tornado

Date: Thu, 17 May 90 09:21 CDT
From: ALSPACH at NEMO.MATH.OKSTATE.EDU
Subject: Tornado
To: banach at NEMO.MATH.OKSTATE.EDU
X-VMS-To: IN%"banach at nemo.math.okstate.edu"

Dear Subscribers,
	A tornado on Tuesday May 15 shut us down for several hours. There is
the possibility that some email was lost Tuesday night or Wednesday morning.
If you have sent something, and received no reply, try it again.
Dale Alspach



From	NEMO::ALSPACH      25-JUN-1990 10:32:55.77
To:	IN%"banach at nemo.math.okstate.edu"
CC:	ALSPACH
Subject:	Paper by P. F. X. Mueller

%This is the abstract of the paper "Permutations of the Haar system"
%by P. F. X. Mueller. The abstract and paper are in LaTeX. To download 
%the paper transmit the command
	send [banach]mueller.ltx
%to banach-files%nemo.math.okstate.edu at relay.cs.net

\documentstyle{article}
\parindent=0pt
\newcommand{\cald}{{\cal D}}
\newcommand{\calb}{{\cal B}}
\newcommand{\tpi}{T_{\pi}}
\newcommand{\xj}{x_{J}^{2}}
\newcommand{\tppi}{T_{p, \pi}}
\newcommand{\pivon}[1]{\pi(#1)}
\newcommand{\sppi}{S_{p, \pi}}
\newcommand{\lip}{\Lambda_{\left( \frac{1}{p}-1 \right)}}
\newcommand{\hochx}{^{1-\frac{1}{p}}}
\newcommand{\hochy}{^{2\left( \frac{1}{p}- \frac{1}{2}\right)}}
\newcommand{\cac}[1]{{\rm CC}(#1)}
\newcommand{\permut}{\pi : \cald \rightarrow \cald}
\newcommand{\cacp}[1]{{\rm CC_{p}}(#1)}
\newcommand{\ausdr}{\sum_{L \in max \pi (D(I))} |L|\hochy }
\newtheorem{theorem}{Theorem}
\newtheorem{lemma}{Lemma}
\newtheorem{claim}{Claim}
\newtheorem{definition}{Definition}
\begin{document}
\title{Permutations of the Haar system}
\author{Paul F.X. M\"{u}ller\thanks{Supported by E. Schr\"{o}dinger
auslandsstipendium PR.Nr J0458-PHY}\\Institut f\"{u}r Mathematik,
J. Kepler Universit\"{a}t\\ Linz, Austria\\and\\Department of
Theoretical Mathematics\\The Weizmann Institute of Science\\Rehovot,
Israel}
\maketitle
\begin{abstract}
General permutations acting on the Haar system are investigated.
We give a necessary and sufficient condition for permutations
 to induce
an isomorphism on dyadic BMO. Extensions of this
characterization to Lipschitz spaces $\lip, (0<p\leq1)$
are obtained.
When specialized to permutations
which act on one level of the Haar system only, our approach
leads to a short straightforward proof of a result due to
E.M.Semyonov and B.Stoeckert.
\end{abstract}
\end{document}



From	IN%"ALSPACH at NEMO.MATH.OKSTATE.EDU" 20-JUN-1990 13:32:39.78
To:	banach at NEMO.MATH.OKSTATE.EDU
CC:	
Subject:	Paper by S. J. Montgomery-Smith

Date: Wed, 20 Jun 90 13:31 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 "Complemented subspaces of spaces
%obtained by interpolation" by S. J. Montgomery-Smith. The paper
%can be downloaded from the bulletin board by transmitting the command
%	send [banach]garmontsmith.tex
%to banach-files%nemo.math.okstate.edu at relay.cs.net

% typeset using plain-TeX

\centerline{\bf Complemented Subspaces of Spaces}
\centerline{\bf Obtained by Interpolation}

\bigskip

\centerline{\bf D.J.H. Garling}
\centerline{\it St. John's College, Cambridge CB2 1TP,
England.}

\medskip

\centerline{\bf S.J. Montgomery-Smith}
\centerline{\it Department of Mathematics,
University of Missouri,}
\centerline{\it Columbia, MO 65211, U.S.A.}

\bigskip

\beginsection Abstract

If $Z$\ is a quotient of a subspace of a separable
Banach space $X$, and $V$\ is any separable Banach space,
then there is a Banach couple $(A_0,A_1)$\ such that
$A_0$\ and $A_1$\ are isometric to $X\oplus V$, and
any intermediate space obtained using the real or complex
interpolation method contains a complemented subspace
isomorphic to $Z$. Thus many properties of Banach spaces,
including having non-trivial cotype, having the
Radon--Nikodym property, and having the analytic
unconditional martingale difference sequence property,
do not pass to intermediate spaces.

\bigskip

\noindent
{\it A.M.S.\ (1980) subject classification: 46B99.}


\bye



From	IN%"ALSPACH at NEMO.MATH.OKSTATE.EDU" 20-JUL-1990 13:06:52.75
To:	banach at NEMO.MATH.OKSTATE.EDU
CC:	
Subj:	Abstract of a paper by D. Alspach

Date: Fri, 20 Jul 90 13:06 CDT
From: ALSPACH at NEMO.MATH.OKSTATE.EDU
Subject: Abstract of a paper by D. Alspach
To: banach at NEMO.MATH.OKSTATE.EDU
X-VMS-To: IN%"banach at nemo.math.okstate.edu"

%This is the abstract of the paper "On the complemented subspaces of
%X_p" by D. Alspach. The paper and abstract are typed in AmSTeX. The
%paper can be downloaded by transmitting the command
%	send [banach]alspach.atx
%to banach-files%nemo.math.okstate.edu at relay.cs.net.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\documentstyle{amsppt}
\magnification=1200


\title On The Complemented Subspaces of $X_{p}$
\endtitle
                                     
\topmatter
\author Dale E. Alspach
\endauthor
\address{ 
Department of Mathematics
Oklahoma State University
Stillwater, OK 74078-0613}

\abstract{In this paper we prove some results related to the 
problem of isomorphically classifying the complemented subspaces of $X_{p}$. We
characterize the complemented subspaces of $X_{p}$  which are isomorphic to
$X_{p}$  by showing that such a space must contain a canonical complemented
subspace isomorphic to $X_{p}.$ We also give some characterizations of
complemented subspaces of $X_{p}$  isomorphic to $\ell_{p}\oplus \ell_{2}.$
}

\endtopmatter
\document
\enddocument




From	IN%"ALSPACH at NEMO.MATH.OKSTATE.EDU" 23-JUL-1990 15:23:43.66
To:	banach at NEMO.MATH.OKSTATE.EDU
CC:	
Subject:	Paper by S. Montgomery-Smith and P. Saab

Date: Mon, 23 Jul 90 15:22 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 "p-summing operators on injective
%tensor products of spaces" by S. Montgomery-Smith and P. Saab. The
%abstract is in Plain TeX and the paper is typed in AmSTeX. The paper
%can be downloaded by transmitting the command
%	send [banach]montsmithpsaab.atx 
%to banach-files%nemo.math.okstate.edu at relay.cs.net.


\magnification=\magstep1
\def\Bbb#1{\hbox{\bf #1}}
\def\N{\Bbb N}
\def\Z{\Bbb Z}
\def\C{\Bbb C}
\def\R{\Bbb R}
\font\bigbold=cmbx10 scaled \magstep2

%
\centerline {\bigbold p-Summing Operators on}

\centerline {\bigbold Injective Tensor Products of Spaces}
\vskip 1truein
\centerline {by}
\vskip 1truein
\centerline {\bf Stephen Montgomery-Smith$^{(*)}$ and Paulette
Saab$^{(**)}$}
\vskip1truein
{\narrower\smallskip\noindent {\bf Abstract}\ \ Let $X,Y$ and $Z$ be
Banach spaces, and let $\prod_p(Y,Z)\ (1\leq p<\infty)$ denote the
space of $p$-summing operators from $Y$ to $Z$.  We show that, if
$X$ is a {\it \$}$_\infty$-space, then a bounded linear operator $T:\
X\hat \otimes_\epsilon Y\longrightarrow Z$ is 1-summing if and only if
a
naturally associated operator $T^\#:\ X\longrightarrow \prod_1(Y,Z)$
is
1-summing.  This result need not be true if $X$ is not a {\it
\$}$_\infty$-space.  For $p>1$, several examples are given with
$X=C[0,1]$ to show that $T^\#$ can be $p$-summing without $T$ being
$p$-summing.  Indeed, there is an operator $T$ on
$C[0,1]\hat \otimes_\epsilon \ell_1$ whose associated operator $T^\#$
is
2-summing, but for all $N\in \N$, there exists an $N$-dimensional
subspace $U$ of $C[0,1]\hat \otimes_\epsilon \ell_1$ such that $T$
restricted to $U$ is equivalent to the identity operator on
$\ell^N_\infty$. Finally, we show that there is a compact Hausdorff
space $K$\
and a bounded linear operator $T:\ C(K)\hat \otimes_\epsilon
\ell_1\longrightarrow \ell_2$ for which $T^\#:\ C(K)\longrightarrow
\prod_1(\ell_1, \ell_2)$ is not 2-summing.

\smallskip}


\par\noindent A.M.S.\ (1980) subject classification: 46B99

\bye



From	IN%"ALSPACH at NEMO.MATH.OKSTATE.EDU" 30-JUL-1990 08:59:15.01
To:	banach at NEMO.MATH.OKSTATE.EDU
CC:	
Subject:	Missouri bitnet

Date: Mon, 30 Jul 90 08:57 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"


UMCVMB.BITNET will not be receiving messages between August 4 and August 10.

If you want to send any message to anybody at the University of Missouri
in Columbia, try to not send it during the above period since your message
will get lost.
Thanks.
Elias Saab



From	IN%"ALSPACH at NEMO.MATH.OKSTATE.EDU" 31-JUL-1990 09:04:54.98
To:	banach at NEMO.MATH.OKSTATE.EDU
CC:	
Subj:	vacation

Date: Tue, 31 Jul 90 09:03 CDT
From: ALSPACH at NEMO.MATH.OKSTATE.EDU
Subject: vacation
To: banach at NEMO.MATH.OKSTATE.EDU
X-VMS-To: IN%"banach at nemo.math.okstate.edu"

Dear subscribers,
	I will be traveling from Aug 3 until Aug 17, so there will be no
new postings to the bulletin board during this period. Downloading and
other automated features will continue as usual.
Dale Alspach



From	IN%"ALSPACH at NEMO.MATH.OKSTATE.EDU"  5-SEP-1990 10:22:02.39
To:	banach at NEMO.MATH.OKSTATE.EDU
CC:	
Subj:	Abstract of a paper by B. Maurey

Date: Wed, 5 Sep 90 10:19 CDT
From: ALSPACH at NEMO.MATH.OKSTATE.EDU
Subject: Abstract of a paper by B. Maurey
To: banach at NEMO.MATH.OKSTATE.EDU
X-VMS-To: IN%"banach at nemo.math.okstate.edu"

%This is the abstract of the paper "Some deviation inequalities" by
%B. Maurey. The paper is available for downloading.  Transmit the
%command
%	send [banach]:maurey.tex
%to banach-files%nemo.math.okstate.edu at relay.cs.net. Both this abstract
%and the paper are typed in plain TeX.

\vsize=230mm
\font\titre=cmbx10 scaled \magstep1





\centerline{\titre Some deviation inequalities}
\bigskip
\centerline{by Bernard Maurey}
\medskip
\centerline{\sevenrm September 1990}
\bigskip

\bigskip

\noindent {\sevenrm {\sevenbf Abstract.} We introduce a
concentration property for
probability measures on $\scriptstyle{R^n}$, which we call
Property~($\scriptstyle\tau$);
we show that this property has an interesting stability under
products and contractions
(Lemmas 1,~2,~3). Using property~($\scriptstyle\tau$),
we give a short proof for a recent
deviation inequality due to Talagrand. In a third
section, we also recover
known concentration results for Gaussian measures using our approach.}




From	IN%"ALSPACH at NEMO.MATH.OKSTATE.EDU"  6-SEP-1990 09:57:38.88
To:	banach at NEMO.MATH.OKSTATE.EDU
CC:	
Subj:	Correction

Date: Thu, 6 Sep 90 09:55 CDT
From: ALSPACH at NEMO.MATH.OKSTATE.EDU
Subject: Correction
To: banach at NEMO.MATH.OKSTATE.EDU
X-VMS-To: IN%"banach at nemo.math.okstate.edu"

Dear Subscribers,
	The instructions for downloading maurey.tex contained an error.
	send [banach]maurey.tex
or
	send banach:maurey.tex
will work (but not the union send [banach]:maurey.tex). Transmit this command
to banach-files%nemo.math.okstate.edu at relay.cs.net.
	There have been some changes in the mail system. You may be able to
shorten the address to
banach-files at nemo.math.okstate.edu.
Also there may be some temporary problems with the address because of changes in internet. If you cannot reach the bulletin board because of a host domain
unknown error, try routing through d.cs.okstate.edu.
Dale Alspach



From	IN%"ALSPACH at NEMO.MATH.OKSTATE.EDU" 25-SEP-1990 09:47:20.37
To:	banach at NEMO.MATH.OKSTATE.EDU
CC:	
Subject: Papers by K. Ball

Date: Tue, 25 Sep 90 09:45 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"

%Abstracts of the papers "Ellipsoids of maximal volume in convex
%bodies" and "The plank problem for symmetric bodies" by K. Ball.
%Both are available for downloading but require some definitions
%contained in the file mssymb.tex which is also available. The papers
%are typed in Plain TeX. Transmit the commands
%	send [banach]mssymb.tex
%	send [banach]ballellipse.tex
%	send [banach]ballplank.tex
%to banach-files%nemo.math.okstate.edu at relay.cs.net.


\magnification\magstep1
\baselineskip = 18pt
\def\n{\noindent}

\centerline{\bf Ellipsoids of maximal volume in convex bodies}\bigskip
\centerline{Keith Ball}\bigskip
\centerline{Department of Mathematics}
\centerline{Texas A\&M University}
\centerline{College Station, TX \ 77843}\bigskip\medskip



\n {\bf Abstract.} The largest discs contained in a regular tetrahedron lie
in its faces. The proof is closely related to the theorem of Fritz John
characterising ellipsoids of maximal volume contained in convex bodies.
\bigskip



\centerline{{\bf The plank problem for symmetric bodies}
}


\centerline{by}
\centerline{Keith Ball$^{(1)}$}\bigskip\medskip

\centerline{Department of Mathematics}
\centerline{Texas A\&M University}
\centerline{College Station, TX \ 77843}\vskip.4in

\n {\bf Abstract.} Given a symmetric convex body $C$ and $n$ hyperplanes in
an Euclidean space, there is a translate of a multiple of $C$, at least
${1\over n+1}$ times as large, inside $C$, whose interior does not meet any
of the hyperplanes. The result generalizes Bang's solution of the plank
problem of Tarski and has applications to Diophantine approximation.
\vfill\eject
\bye




From	IN%"ALSPACH at NEMO.MATH.OKSTATE.EDU"  5-NOV-1990 09:33:08.78
To:	ALSPACH at NEMO.MATH.OKSTATE.EDU, wdavis at mps.ohio-state.EDU, SCHUTT at NEMO.MATH.OKSTATE.EDU, MATHES at umcvmb.missouri.EDU, GOS4416 at tamvenus.BITNET, fran at jim.cam.nist.GOV, JHAGLER at ducair.BITNET, BEAUZAMY at frcirp71.BITNET, girardi at symcom.math.uiuc.EDU, ARCHIVES at NEM
CC:	
Subj:	UTAMIRFAS

Date: Mon, 5 Nov 90 09:32 CST
From: ALSPACH at NEMO.MATH.OKSTATE.EDU
Subject: UTAMIRFAS
To: ALSPACH at NEMO.MATH.OKSTATE.EDU, wdavis at mps.ohio-state.EDU,
 SCHUTT at NEMO.MATH.OKSTATE.EDU, MATHES at umcvmb.missouri.EDU,
 GOS4416 at tamvenus.BITNET, fran at jim.cam.nist.GOV, JHAGLER at ducair.BITNET,
 BEAUZAMY at frcirp71.BITNET, girardi at symcom.math.uiuc.EDU,
 ARCHIVES at NEMO.MATH.OKSTATE.EDU, GREIMP at citadel2.BITNET,
 WBJ7835 at venus.tamu.EDU, bellenot at gauss.math.fsu.EDU, A1A6921 at tamvenus.BITNET,
 semmes at rice.EDU, HEL3579 at tamvenus.BITNET, phelps at blake.acs.washington.EDU,
 J1F0347 at tamvenus.BITNET, combs at carl.ma.utexas.EDU, MATHPS at umcvmb.missouri.EDU,
 njn at imada.DK, C31801GW at wuvmd.BITNET, carother at andy.bgsu.EDU,
 MTSCHECH at weizmann.BITNET, edgar at shape.mps.ohio-state.EDU,
 MAR29AA at technion.BITNET, MATHPGC at umcvmb.missouri.EDU, liortz at shum.huji.ac.IL,
 USERCZAK at ualtamts.BITNET, LBROWN at waynest1.BITNET, MATHSMS at umcvmb.missouri.EDU,
 NTOMCZAK at ualtavm.BITNET, 087043%doluni1.earn at cunyvm.cuny.EDU,
 wend at uni-paderborn.DE, bastero at cc.unizar.ES, CJ01000 at siuemus.BITNET,
 JOHNSON at NEMO.MATH.OKSTATE.EDU, PM1PGD%primea.sheffield.ac.uk at nsfnet-relay.ac.UK
X-VMS-To:  at SUBSCRIBERS

From:	IN%"combs at math.utexas.EDU"  1-NOV-1990 15:09:55.98
To:	banach-list at NEMO.MATH.OKSTATE.EDU
CC:	
Subj:	Fall UTAMIRFAS

Received: from D.CS.OKSTATE.EDU by NEMO.MATH.OKSTATE.EDU; Thu, 1 Nov 90 15:09
 CDT
Received: from EMX.UTEXAS.EDU by d.cs.okstate.edu id aa08595; 1 Nov 90 14:09 CST
Received: from math.utexas.edu by emx.utexas.edu (5.61/1.8) id AA26755; Thu, 1
 Nov 90 14:06:17 -0600
Received: by fireant.ma.utexas.edu (5.61/5.51) id AA02636; Thu, 1 Nov 90
 14:05:15 -0600
Date: Thu, 1 Nov 90 14:05:15 -0600
From: combs at math.utexas.EDU
Subject: Fall UTAMIRFAS
To: banach-list at NEMO.MATH.OKSTATE.EDU
Posted-Date: Thu, 1 Nov 90 14:05:15 -0600
Message-Id: <9011012005.AA02636 at fireant.ma.utexas.edu>


	Announcement of Fall UTAMIRFAS

*****************************************************************    

    		UTAMIRFAS    
 

  The Fall 1990 UTAMIRFAS will be held     
 
      Saturday, November 17, 1990    
 
    		   at    
 
    The University of Texas at Austin   
 
          in R.L. Moore Hall   
 
       The scheduled talks are:   
 

    
11:00 -- 12:00 
    E. Odell :  Quotients of spaces with a shrinking 
		unconditional basis.  

12:00 -- 1:30   Lunch 

 1:30 -- 2:30 
    T. Figiel : Best constants in Rosenthal's inequality and    
		a generalization of Khintchine's inequality.  

 2:45 -- 3:45  
    C. Pearcy :	Some new directions in the theory of dual        
		algebras.
   
 4:00 -- 5:00 
    G. Pisier : Interpolation between H^p-spaces and   
		noncommutative generalizations.  
   
 
All talks will be in RLM 12.166.  Refreshments will be served   
beginning at 10:30 a.m. in the lounge, RLM 12.104. There will   
be a dinner somewhere following the last talk. For further   
information contact Ted Odell or Haskell Rosenthal 512-471-7711      
or:   odell at math.utexas.edu ;  rosenthal at math.utexas.edu    
 
*****************************************************************    



From	NEMO::ALSPACH      29-NOV-1990 10:14:16.14
To:	 at SUBSCRIBERS
CC:	ALSPACH
Subject:	New address for W. Schachermayer

Walter Schachermayer has moved to
	Institut fur Mathematik
	Universitat Wien
	Strudlhofgasse 4
	1040 Wien
	Austria

Electronic address
	schach at awirap.bitnet


Dale Alspach
alspach at nemo.math.okstate.edu



From	IN%"combs at math.utexas.EDU"  7-DEC-1990 10:45:24.70
To:	alspach at NEMO.MATH.OKSTATE.EDU
CC:	
Subj:	from Odell

Received: from D.CS.OKSTATE.EDU by NEMO.MATH.OKSTATE.EDU; Fri, 7 Dec 90 10:44
 CST
Received: from emx.utexas.edu by d.cs.okstate.edu id aa15623; 7 Dec 90 10:44 CST
Received: from math.utexas.edu by emx.utexas.edu (5.61/1.8) id AA28344; Fri, 7
 Dec 90 10:33:40 -0600
Received: by fireant.ma.utexas.edu (5.61/5.51) id AA05185; Fri, 7 Dec 90
 10:30:02 -0600
Date: Fri, 7 Dec 90 10:30:02 -0600
From: combs at math.utexas.EDU
Subject: from Odell
To: alspach at NEMO.MATH.OKSTATE.EDU
Posted-Date: Fri, 7 Dec 90 10:30:02 -0600
Message-Id: <9012071630.AA05185 at fireant.ma.utexas.edu>


Dear Dale, 

Here is my entry for the B.S.Bulletin Board: 

***********************************************************

I (Ted Odell) am looking for a position elsewhere. 
While I've been happy at U.T., my wife has developed 
serious allergies and this necessitates a change. If 
you know of any leads, rumors or have any information 
that might help my search, please contact me at either:

	e-mail:  odell at math.utexas.edu
or	phone:   512-471-7711
or	Dept. Math.
	The University of Texas at Austin
	Austin, TX 78712

***********************************************************



From	NEMO::ALSPACH      20-DEC-1990 09:23:35.90
To:	 at HOME:SUBSCRIBERS
CC:	ALSPACH
Subject:	Abstract of a paper by E. Odell

%This is the abstract of the paper "On quotients of Banach spaces
%having shrinking unconditional bases" by E. Odell. The paper and
%abstract are in Plain TeX. The paper may be downloaded by sending
%the command
%	send [banach]odell.tex
%to banach-files at nemo.math.okstate.edu
%--11/16/90--paper by Ted Odell:  
	\magnification=\magstep1
\centerline{\bf On quotients of Banach spaces having}
\smallskip
\centerline{\bf shrinking unconditional bases}
\bigskip
\centerline{by E. Odell}

\vskip.5in
{\narrower\smallskip
\centerline{\bf Abstract}
\medskip

It is proved that if a Banach space $Y$ is a quotient of a Banach space having
a shrinking unconditional basis, then every normalized weakly null sequence in 
$Y$ has an unconditional subsequence.  The proof yields the corollary that
every quotient of Schreier's space is $c_o$-saturated.
\smallskip}
\bigskip
\bye



From	IN%"ALSPACH at NEMO.MATH.OKSTATE.EDU" 15-OCT-1990 09:40:12.84
To:	ALSPACH at NEMO.MATH.OKSTATE.EDU, wdavis at mps.ohio-state.EDU, SCHUTT at NEMO.MATH.OKSTATE.EDU, MATHES at umcvmb.missouri.EDU, GOS4416 at tamvenus.BITNET, fran at jim.cam.nist.GOV, JHAGLER at ducair.BITNET, BEAUZAMY at frcirp71.BITNET, girardi at symcom.math.uiuc.EDU, ARCHIVES at NEM
CC:	
Subj:	Email address for G. Godefroy

Date: Mon, 15 Oct 90 09:37 CDT
From: ALSPACH at NEMO.MATH.OKSTATE.EDU
Subject: Email address for G. Godefroy
To: ALSPACH at NEMO.MATH.OKSTATE.EDU, wdavis at mps.ohio-state.EDU,
 SCHUTT at NEMO.MATH.OKSTATE.EDU, MATHES at umcvmb.missouri.EDU,
 GOS4416 at tamvenus.BITNET, fran at jim.cam.nist.GOV, JHAGLER at ducair.BITNET,
 BEAUZAMY at frcirp71.BITNET, girardi at symcom.math.uiuc.EDU,
 ARCHIVES at NEMO.MATH.OKSTATE.EDU, GREIMP at citadel2.BITNET,
 WBJ7835 at venus.tamu.EDU, bellenot at gauss.math.fsu.EDU, A1A6921 at tamvenus.BITNET,
 semmes at rice.EDU, HEL3579 at tamvenus.BITNET, phelps at blake.acs.washington.EDU,
 J1F0347 at tamvenus.BITNET, combs at carl.ma.utexas.EDU, MATHPS at umcvmb.missouri.EDU,
 njn at imada.DK, C31801GW at wuvmd.BITNET, carother at andy.bgsu.EDU,
 MTSCHECH at weizmann.BITNET, edgar at shape.mps.ohio-state.EDU,
 MAR29AA at technion.BITNET, MATHPGC at umcvmb.missouri.EDU, liortz at shum.huji.ac.IL,
 USERCZAK at ualtamts.BITNET, LBROWN at waynest1.BITNET, MATHSMS at umcvmb.missouri.EDU,
 NTOMCZAK at ualtavm.BITNET, 087043%doluni1.earn at cunyvm.cuny.EDU,
 wend at uni-paderborn.DE, bastero at cc.unizar.ES, CJ01000 at siuemus.BITNET,
 JOHNSON at NEMO.MATH.OKSTATE.EDU, PM1PGD%primea.sheffield.ac.uk at nsfnet-relay.ac.UK
X-VMS-To:  at SUBSCRIBERS

Email for G. Godefroy at Missouri can be sent to

mathvis3 at umcvmb.bitnet

or

mathvis3 at umcvmb.missouri.edu

Return to the subject file.

Return to the Banach home page.