Messages from 1993
From banach-request at hardy.math.okstate.edu Thu Jan 28 10:53:35
1993
To: banach-dist at hardy.math.okstate.edu
Subject: Abstract of a paper by P.G.Dodds, T.K.Dodds,
P.N.Dowling, C.J.Lennard, F.A.Sukochev
Date: Thu, 28 Jan 93 10:47:13 CST
From: alspach at hardy.math.okstate.edu
Sender: alspach at hardy.math.okstate.edu
Content-Length: 1399
X-Lines: 46
Status: RO
This is the abstract of the paper " A Uniform Kadec-klee Property
For
Symmetric Operator Spaces " by P.G. Dodds, T.K. Dodds, P.N.
Dowling,
C.J. Lennard and F.A. Sukochev. The paper is typed in TeX. The
paper
may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the commands
send doddsdowllensukukk1.tex
send doddsdowllensukukk2.tex
in separate messages to: banach-files at math.okstate.edu.
ABSTRACT:
We show that if a rearrangement invariant Banach function space
$E$ on
the positive semi-axis satisfies a non-trivial lower $q-$
estimate with
constant $1$ then the corresponding space $E(\nm)$ of
$\tau-$measurable
operators, affiliated with an arbitrary semi-finite von Neumann
algebra
$\nm$ equipped with a distinguished faithful, normal, semi-finite
trace
$\tau $, has the uniform Kadec-Klee property for the topology of
local
convergence in measure. In particular, the Lorentz function
spaces
$L_{q,p}$ and the Lorentz-Schatten classes ${\cal C}_{q,p}$ have
the
UKK property for convergence locally in measure and for the
weak-operator topology, respectively. As a partial converse , we
show
that if $E$ has the UKK property with respect to local
convergence in
measure then $E$ must satisfy some non-trivial lower
$q$-estimate. We
also prove a uniform Kadec-Klee result for local convergence in
any
Banach lattice satisfying a lower $q$-estimate.
From banach-request at hardy.math.okstate.edu Fri Jan 29 14:09:49 1993
To: banach-dist at hardy.math.okstate.edu
Subject: Proposed conference at U. of Missouri
Date: Fri, 29 Jan 93 13:59:24 CST
From: alspach at hardy.math.okstate.edu
Sender: alspach at hardy.math.okstate.edu
Content-Length: 1401
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Status: RO
Subject: Conference in 1994 (update)
1) The conference will be held in 1994.
2) A. Pelczynski (Polish Academy of Sciences) has also agreed to
speak.
3) So far we have received about 150 requests from people who
want to come or to get more information.
(Preliminary Announcement)
The Department of Mathematics at
the
University of Missouri-Columbia
announces
a
Conference
On the Interaction Between
Functional Analysis,
Harmonic Analysis, and
Probability.
May 30- June 3, 1994 (Yes 1994)
Supported by The University of Missouri
Further funding will be sought from NSF
The following people have tentatively agreed to speak.
Earl Berkson (University of Illinois)
Jean Bourgain (I H E S, France)
Don Burkholder (University of Illinois)
Robert Fefferman (University of Chicago)
William B. Johnson (Texas A&M)
A. Pelczynski (Polish Academy of Sciences)
Peter Jones (Yale University)
Gilles Pisier (University of Paris/Texas A&M)
Richard Rochberg (Washington University)
Michel Talagrand (University of Paris/Ohio-State University)
Lior Tzafriri (Hebrew University of Jerusalem)
Guido Weiss (Washington University)
For Additional Information send an e-mail message to:
conf at esaab.cs.missouri.edu
Please include your regular mail address.
From banach-request at hardy.math.okstate.edu Tue Feb 2 12:01:10 1993
To: banach-dist at hardy.math.okstate.edu
Subject: Abstract of a paper by M.Girardi and W.B.Johnson
Date: Tue, 2 Feb 93 11:52:31 CST
From: alspach at hardy.math.okstate.edu
Sender: alspach at hardy.math.okstate.edu
Content-Length: 772
X-Lines: 21
Status: RO
This is the abstract of the paper "The Complete Continuity Property and
Finite Dimensional Decompositions " by M.Girardi and W.B.Johnson. The
paper is typed in AMSTeX. The paper may be downloaded from the bulletin
board by ftp to ftp.math.okstate.edu or transmitting the command
send girardijohnsonccpfdd.atx
to: banach-files at math.okstate.edu.
Abstract:
A Banach space $\X$ has the complete continuity property (CCP)
if each bounded linear operator from $L_1$ into $\X$
is completely continuous
(i.e., maps weakly convergent sequences to norm convergent
sequences).
The main theorem shows that a Banach space failing the CCP
(resp., failing the CCP and failing cotype)
has a subspace with a
finite dimensional decomposition
(resp., basis)
which fails the CCP.
From banach-request at hardy.math.okstate.edu Thu Feb 4 11:03:04 1993
To: banach-dist at hardy.math.okstate.edu
Subject: Abstract of a paper by P.N. Dowling and C.J. Lennard
Date: Thu, 4 Feb 93 10:55:49 CST
From: alspach at hardy.math.okstate.edu
Sender: alspach at hardy.math.okstate.edu
Content-Length: 894
X-Lines: 26
Status: RO
This is the abstract of the paper "Every nonreflexive subspace of
L_1[0,1] fails the fixed point property " by P.N. Dowling and C.J.
Lennard The paper is typed in AMSTeX. The paper may be downloaded from
the
bulletin board by ftp to ftp.math.okstate.edu or transmitting the
commands
send dowlenfpfreel1.atx
and
send dowlenfpfreel1.sty
to: banach-files at math.okstate.edu.
Abstract:
The main result of this paper is that every non-reflexive subspace $Y$
of $L_1[0,1]$ fails the fixed point property for closed, bounded,
convex subsets $C$ of $Y$ and nonexpansive (or contractive) mappings on
$C$. Combined with a theorem of Maurey we get that for subspaces $Y$
of $L_1[0,1]$, $Y$ is reflexive if and only if $Y$ has the fixed point
property. For general Banach spaces the question as to whether
reflexivity implies the fixed point property and the converse question
are both still open.
From banach-request at hardy.math.okstate.edu Thu Feb 4 11:58:54 1993
To: banach-dist at hardy.math.okstate.edu
Subject: Abstract of a paper by M.Defant and M.Junge
Date: Thu, 4 Feb 93 11:22:36 CST
From: alspach at hardy.math.okstate.edu
Sender: alspach at hardy.math.okstate.edu
Content-Length: 733
X-Lines: 17
Status: RO
This is the abstract of the paper "How many vectors are needed to
compute (p,q)-summing norms?" by M.Defant and M.Junge. The paper is
typed in LATeX. The paper may be downloaded from the bulletin board by
ftp to ftp.math.okstate.edu or transmitting the command
send defantjungepqsum.ltx
to: banach-files at math.okstate.edu.
Abstract: We will show that for $q<p$ there exists an $\al < \infty$
such that \[ \pi_{pq}(T) \pl \le c_{pq} \pi_{pq}^{[n^{\alpha}]}(T)
\mbox{for all $T$ of rank $n$.}\] Such a polynomial number is only
possible if $q=2$ or $q<p$. Furthermore, the growth rate is linear if
$q=2$ or $\frac{1}{q}-\frac{1}{p}>\frac{1}{2}$. Unless
$\frac{1}{q}-\frac{1}{p}=\frac{1}{2}$ this is also a necessary
condition .
From banach-request at hardy.math.okstate.edu Thu Feb 4 13:50:43 1993
To: banach-dist at hardy.math.okstate.edu
Subject: Abstract of a paper by M. Junge
Date: Thu, 4 Feb 93 13:45:37 CST
From: alspach at hardy.math.okstate.edu
Sender: alspach at hardy.math.okstate.edu
Content-Length: 1138
X-Lines: 35
Status: RO
This is the abstract of the paper "Comparing gaussian and Rademacher
cotype for operators on the space of continous functions " by M.
Junge.
The paper is typed in LATeX. The paper may be downloaded from the
bulletin board by ftp to ftp.math.okstate.edu or transmitting the
command
send jungecotype.ltx
to: banach-files at math.okstate.edu.
Abstract: We will prove an abstract comparision principle which
translates gaussian cotype in Rademacher cotype conditions and vice
versa. More precisely, let $2\!<\!q\!<\!\infty$ and $T:\,C(K)\,\to\,F$
a linear, continous operator.
T is of gaussian cotype q if and only if
( \summ_1^n (\frac{|| Tx_k||_F}{\sqrt{\log(k+1)}})^q
)^{1/q} \, \le c || \summ_1^n \varepsilon_k x_k ||_{L_2(C(K))} ,
for all sequences with $(|| Tx_k ||)_1^n$ decreasing.
T is of Rademacher cotype q if and only if
(\summ_1^n (|| Tx_k||_F \,\sqrt{\log(k+1)})^q
)^{1/q} \, \le c
|| \summ_1^n g_k x_k ||_{L_2(C(K))} ,
for all sequences with $(||Tx_k ||)_1^n$ decreasing.
Our methods allows a restriction to a fixed number of
vectors and complements the corresponding results of Talagrand.
From banach-request at hardy.math.okstate.edu Tue Feb 9 11:35:13 1993
To: banach-dist at hardy.math.okstate.edu
Subject: Abstracts of two papers
Date: Tue, 9 Feb 93 11:24:39 CST
From: alspach at hardy.math.okstate.edu
Sender: alspach at hardy.math.okstate.edu
Content-Length: 2420
X-Lines: 61
Status: RO
This is the abstract of the paper "Locally Lipschitz Functions and
Bornological Derivatives " by J.M. Borwein, M. Fabian and J.
Vanderwerff. The paper is typed in LATeX. The paper may be downloaded
from the bulletin board by ftp to ftp.math.okstate.edu or transmitting
the command
send borweinfabianvdwerffllf.ltx
to: banach-files at math.okstate.edu.
Abstract. We study the relationships between Gateaux, weak Hadamard and
Frechet
differentiability and their bornologies for Lipschitz and for convex
functions.
In particular, Frechet and weak Hadamard differentiabily coincide for
all
Lipschitz functions if and only if the space is reflexive
(an earlier paper of the first two authors
shows that these two notions of differentiability
coincide for continuous convex functions if and only if the space does
not
contain a copy of $\ell_1$).
We also examine when Gateaux and weak Hadamard differentiability
coincide
for continuous convex functions. For instance, spaces with the
Dunford-Pettis (Schur)
property can be characterized by the coincidence of Gateaux and
weak Hadamard (Frechet) differentiabilty for dual norms.
-----------------------------------------------------------------
This is the abstract of the paper "Dual Kadec-Klee norms and the
relationships between Wijsman, slice and Mosco convergence " by J.M.
Borwein and J. Vanderwerff. The paper is typed in TeX. The paper may
be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or
transmitting the commands
send borweinvdwerffkkn1.tex
send borweinvdwerffkkn1.tex
in separate messages to: banach-files at math.okstate.edu.
Abstract. In this paper, we completely settle several of the open
questions
regarding the relationships between the three most fundamental forms
of set convergence. In particular, it is shown that
Wijsman and slice convergence coincide precisely
when the weak star and norm topologies agree on the dual sphere.
Consequently, a weakly compactly
generated Banach space admits a dense set of norms for which
Wijsman and slice convergence coincide if and only if it is
an Asplund space. We also show that Wijsman convergence implies
Mosco convergence precisely when the weak star and Mackey topologies
coincide on the dual sphere. A corollary of these results is
that given a fixed norm on an Asplund space, Wijsman
and slice convergence coincide if and only if Wijsman convergence
implies Mosco convergence.
From banach-request at hardy.math.okstate.edu Thu Feb 11 13:01:33 1993
To: banach-dist at hardy.math.okstate.edu
Subject: Abstract of a paper by N.T. Peck
Date: Thu, 11 Feb 93 12:51:47 CST
From: alspach at hardy.math.okstate.edu
Sender: alspach at hardy.math.okstate.edu
Content-Length: 580
X-Lines: 16
Status: RO
This is the abstract of the paper "A factorization constant for $l^n_p
" by N.T. Peck. The paper is typed in AMSTeX. The paper may be
downloaded from the bulletin board by ftp to ftp.math.okstate.edu or
transmitting the command
send peckfactoriz.atx
to: banach-files at math.okstate.edu.
Abstract: We prove that if PT is a factorization of the identity
operator
on \ell_p^n through \ell_{\infty}^k, then ||P|| ||T|| \geq
Cn^{1/p-1/2}(log n)^{-1/2}. This is a corollary of a more general
result
on factoring the identity operator on a quasi-normed space through
\ell_{\infty}^k.
From banach-request at hardy.math.okstate.edu Thu Feb 18 13:53:13 1993
To: banach-dist at hardy.math.okstate.edu
Subject: Abstract of a paper by U. Haagerup and G.Pisier
Date: Thu, 18 Feb 93 13:43:15 CST
From: alspach at hardy.math.okstate.edu
Sender: alspach at hardy.math.okstate.edu
Content-Length: 1102
X-Lines: 31
Status: RO
This is the abstract of the paper "Bounded linear operators between
C^*-algebras" by U. Haagerup and G.Pisier. The paper is typed in TeX.
The paper may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the commands
send haageruppisieropcstar1.tex
and
send haageruppisieropcstar2.tex
to: banach-files at math.okstate.edu.
Abstract: Let $u:A\to B$ be a bounded linear operator between two
$C^*$-algebras $A,B$. The following result was proved by the second
author.
Theorem 0.1. There is a numerical constant $K_1$ such that
for
all finite sequences $x_1,\ldots, x_n$ in $A$ we have
$$\leqalignno{&\max\left\{\left\|\left(\sum u(x_i)^*
u(x_i)\right)^{1/2}\right\|_B, \left\|\left(\sum u(x_i)
u(x_i)^*\right)^{1/2}\right\|_B\right\}&(0.1)_1\cr
\le &K_1\|u\| \max\left\{\left\|\left(\sum
x^*_ix_i\right)^{1/2}\right\|_A,
\left\|\left(\sum x_ix^*_i\right)^{1/2}\right\|_A\right\}.}$$
A simpler proof was given in [H1].
More recently an other alternate proof appeared in [LPP]. In
this paper we give a sequence of generalizations of this inequality.
From banach-request at hardy.math.okstate.edu Wed Feb 24 12:19:07 1993
To: banach-dist at hardy.math.okstate.edu
Subject: Abstract of a paper by Y. Latushkin and S. Montgomery-Smith
Date: Wed, 24 Feb 93 12:11:16 CST
From: alspach at hardy.math.okstate.edu
Sender: alspach at hardy.math.okstate.edu
Content-Length: 664
X-Lines: 19
Status: RO
This is the abstract of the paper "Lyapunov Theorems for Banach Spaces"
by Y. Latushkin and S. Montgomery-Smith. The paper is typed in TeX.
The paper may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the command
send latushkinmontsmithlyap.tex
to: banach-files at math.okstate.edu.
Abstract:
We present a spectral mapping theorem for semigroups on any Banach
space $E$. From this, we obtain
a characterization of exponential dichotomy for
nonautonomous differential equations for $E$-valued
functions. This characterization is given in
terms of the spectrum of the generator of the semigroup
of evolutionary operators.
From banach-request at hardy.math.okstate.edu Thu Feb 25 10:44:47 1993
To: banach-dist at hardy.math.okstate.edu
Subject: Correction to mailing about a paper of J.Borwein and J.Vanderwerff
Date: Thu, 25 Feb 93 10:40:16 CST
From: alspach at hardy.math.okstate.edu
Sender: alspach at hardy.math.okstate.edu
Content-Length: 1317
X-Lines: 32
Status: RO
There was a typographical error in the file names for this paper. It is
corrected below.
This is the abstract of the paper "Dual Kadec-Klee norms and the
relationships between Wijsman, slice and Mosco convergence " by J.M.
Borwein and J. Vanderwerff. The paper is typed in TeX. The paper may
be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or
transmitting the commands
send borweinvdwerffkkn1.tex
send borweinvdwerffkkn2.tex
in separate messages to: banach-files at math.okstate.edu.
Abstract. In this paper, we completely settle several of the open
questions
regarding the relationships between the three most fundamental forms
of set convergence. In particular, it is shown that
Wijsman and slice convergence coincide precisely
when the weak star and norm topologies agree on the dual sphere.
Consequently, a weakly compactly
generated Banach space admits a dense set of norms for which
Wijsman and slice convergence coincide if and only if it is
an Asplund space. We also show that Wijsman convergence implies
Mosco convergence precisely when the weak star and Mackey topologies
coincide on the dual sphere. A corollary of these results is
that given a fixed norm on an Asplund space, Wijsman
and slice convergence coincide if and only if Wijsman convergence
implies Mosco convergence.
From banach-request at hardy.math.okstate.edu Thu Mar 4 15:21:03 1993
To: banach-dist at hardy.math.okstate.edu
Subject: Abstract of a paper by C. Stegall
Date: Thu, 4 Mar 93 15:11:12 CST
From: alspach at hardy.math.okstate.edu
Sender: alspach at hardy.math.okstate.edu
Content-Length: 1279
X-Lines: 30
Status: RO
This is the abstract of the paper "Spaces Of Lipschitz Functions On
Banach Spaces " by C. Stegall. The paper is typed in AMSTeX. The paper
may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the command
send stegalllipfun.atx
to: banach-files at math.okstate.edu.
Abstract:A remarkable theorem of R. C. James is the following:
suppose that $X$ is a Banach space and $C \subseteq X$
is a norm bounded, closed and convex set such that
every linear functional $x^* \in X^*$ attains its
supremum on $C$; then $C$ is a weakly compact set.
Actually, this result is significantly stronger than this statement;
indeed, the proof can be used to obtain other
surprising results. For example,
suppose that $X$ is a separable
Banach space and $S$ is a norm separable subset
of the unit ball of $X^*$
such that for each $x \in X$ there exists $x^* \in S$
such that $x^*(x) = \|x\|$ then $X^*$
is itself norm separable .
If we call $S$ a support set, in this case, with respect
to the entire space $X$, one can ask questions about
the size and structure of a support set, a support set
not only with respect to $X$ itself but perhaps with
respect to some other subset of $X$ at . We analyze one particular case
of this as well as give some applications.
From banach-request at math.okstate.edu Mon Mar 29 11:59:36 1993
To: banach-dist at math.okstate.edu
Subject: Abstracts of 4 papers by M. Ostrovskii
Date: Mon, 29 Mar 93 11:51:57 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 3072
X-Lines: 87
Status: RO
This is the abstract of the paper "Topologies on the set of all
subspaces of a banach space and related questions of banach space
geometry" by M.I.Ostrovskii. The paper is typed in LATeX. The paper
may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the commands
send ostrovskiitopsubsp1.ltx
send ostrovskiitopsubsp2.ltx
send ostrovskiitopsubsp3.ltx
in separate messages to: banach-files at math.okstate.edu.
ABstract:For a Banach space $X$ we shall denote the set of all
closed
subspaces of $X$ by $G(X)$. In some kinds of problems it turned out
to
be useful to endow $G(X)$ with a topology. The main purpose of the
present paper is to survey results on two the most common topologies
on $G(X)$.
---------------------------------------------------------
This is the abstract of the paper "W^*-derived sets of transfinite
order of subspaces of dual Banach spaces " by M.I. Ostovskii. The
paper is typed in LATeX. The paper may be downloaded from the bulletin
board by ftp to ftp.math.okstate.edu or transmitting the command
send ostovskiiderive.ltx
to: banach-files at math.okstate.edu.
Abstract: It is an English translation of the
paper originally published in Russian and Ukrainian
in 1987.
In the appendix of his book S.Banach introduced
the following definition
Let $X$ be a Banach space and $\Gamma$ be a subspace of the dual space
$X^*$. The set of all limits of $w^{*}$-convergent sequences
in $\Gamma $ is called the $w^*${\it -derived set} of $\Gamma $
and is denoted by $\Gamma _{(1)}$. For an ordinal $\alpha$
the $w^{*}$-{\it derived set of order} $\alpha $ is defined
inductively by the equality:
$$
\Gamma _{(\alpha )}=\bigcup _{\beta <\alpha }((\Gamma _{(\beta
)})_{(1)}.
$$
-----------------------------------------------------------------
This is the abstract of the paper "Total subspaces in dual Banach
spaces which are not norming" by M.I.Ostrovskii. The paper is typed
in LATeX. The paper may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the command
send ostrovskiitotal.ltx
to: banach-files at math.okstate.edu.
Abstract: The main result: the dual of separable Banach space $X$
contains a total subspace which is not norming over any infinite
dimensional
subspace of $X$ if and only if $X$ has a nonquasireflexive
quotient space with the strictly singular quotient mapping.
---------------------------------------------------
This is the abstract of the paper "A note on analytical
representability of mappings inverse to integral operators" by M.I.
Ostovskii. The paper is typed in LATeX. The paper may be downloaded
from
the bulletin board by ftp to ftp.math.okstate.edu or transmitting the
command
send ostrovskiianrep.ltx
to: banach-files at math.okstate.edu.
Abstract: The condition onto pair ($F,G$) of function Banach spaces
under which there exists a integral operator $T:F\to G$ with analytic
kernel
such that the inverse mapping $T^{-1}:$im$T\to F$ does not belong to
arbitrary a priori given Borel (or Baire) class is found.
From banach-request at math.okstate.edu Thu Apr 1 09:31:09 1993
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by M.I. Ostrovskii
Date: Thu, 1 Apr 93 9:23:11 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 807
This is the abstract of the paper "Total subspaces with long chains of
nowhere norming weak$^*$ sequential closures" by M.I.Ostrovskii.
The paper is typed in AMSTeX. The paper may be downloaded
from the bulletin board by ftp to ftp.math.okstate.edu
or transmitting the command
send ostrovskiitotalsub.atx
to: banach-files at math.okstate.edu.
Abstract: If a separable Banach space $X$ is such that for some
nonquasireflexive Banach space $Y$ there exists a surjective
strictly singular operator $T:X\to Y$ then for every countable
ordinal $\alpha $ the dual of $X$ contains a subspace whose
weak$^*$
sequential closures of orders less than $\alpha $ are not norming over
any infinite-dimensional subspace of $X$
and whose weak$^*$ sequential closure of order $\alpha +1$ coincides
with
$X^*$
From banach-request at math.okstate.edu Thu Apr 1 11:39:06 1993
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by D. Leung
Date: Thu, 1 Apr 93 11:35:36 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1052
X-Lines: 23
Status: RO
This is the abstract of the paper "Some isomorphically polyhedral
Orlicz sequence spaces" by Denny H. Leung. The paper is typed in
LATeX.
The paper may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the command
send leungpolyorlicz.ltx
to: banach-files at math.okstate.edu.
Abstract:
A Banach space is polyhedral if the unit ball of each of its
finite dimensional subspaces is a polyhedron. It is known that a
polyhedral Banach space has a separable dual and is $c_0$-saturated,
i.e., each closed infinite dimensional subspace contains an isomorph
of $c_0$. In this paper, we show that the Orlicz sequence space $h_M$
is isomorphic to a polyhedral Banach space if $\lim_{t\to 0}M(Kt)/M(t)
= \infty$ for some $K < \infty$.
We also construct an Orlicz sequence space $h_M$ which is
$c_0$-saturated, but which is not isomorphic to any polyhedral Banach
space. This shows that being $c_0$-saturated and having a separable
dual are not sufficient for a Banach space to be isomorphic
to a polyhedral Banach space.
From banach-request at math.okstate.edu Mon Apr 5 12:24:53 1993
To: banach-dist at math.okstate.edu, russ at math.okstate.edu
Subject: new mailserver software
Content-Type: X-sun-attachment
Date: Mon, 5 Apr 93 12:20:22 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
X-Lines: 465
Status: RO
Content-Length: 16622
----------
X-Sun-Data-Type: text
X-Sun-Data-Description: text
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Effective tomorrow April 6,1993, the mailserver software will be
replaced.
The address for getting files will not
change:banach-files at math.okstate.edu.
The basic syntax for getting a file remains the same, however the
software will respond first by sending an acknowledgement of your
request. Also the subject line is no longer available for commands.
Files will no longer be split into pieces for storage on the system.
The mailserver will automatically split files into 64K bytes pieces.
Requests for multiple files in one email message will now be handled,
but you should limit your total request in one message to 2M bytes.
There is no automatic subscription facility. Email about subscription,
adding files to the archive, etc. should be sent to
banach-owner at math.okstate.edu. This will usually be an alias for me but
may be directed to someone else if I am gone for an extended period.
As is usual there may be some problems at first. If you discover
something wrong, report it to banach-owner at math.okstate.edu.
Appended to this message is the new version of the help file
instructions.txt. Please read it.
Dale Alspach
----------
X-Sun-Data-Type: default
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X-Sun-Data-Name: instructions.txt
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Instructions for the Banach Space Bulletin Board
Revised April 2, 1993
The Banach space bulletin board provides an archive of
preprints of papers in Banach space theory and related fields and a
database of information such as email addresses and abstracts of
papers. Subscribers get email notices of additions to the archive,
meeting announcements and other information. There is no cost to
subscribe. (The National Science Foundation and many universities have
made the internet possible through their support. NSF and Oklahoma
State University have contributed to the purchase of equipment that
houses the bulletin board.) To become a subscriber transmit the
commands
begin
send newsubscriber.txt
end
to banach-files at math.okstate.edu. You will receive a form to complete
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administrator is
Dale Alspach, Department of Mathematics, Oklahoma State University,
Stillwater, OK 74078 USA
All email which relates to the Banach space bulletin board requiring
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The files stored on the bulletin board are almost all either simple
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AMSLATeX) have file extensions .tex, .atx, and .ltx , respectively.
The commands for electronic mail usage of the bulletin board are
help Sends a set of instructions for using the bulletin
board by email.
send Index Sends the file known as Index which is an
annotated list of the files on the bulletin board.
send "filename" Sends the file with file name "filename" as a reply
unless the path command is also present. Note that the
directory is not needed.
send "filename.Z" Sends the file in compressed and uuencoded form.
limit n Split files into messages of length at most n Kbytes.
The default is 64K and the maximum is 256K.
path "emailaddress" Instructs the server to send all files and
messages initiated in this request to "emailaddress"
instead of replying. Use this if you know replying does
not work or you want the files to go to a different
address than the reply address.
reply "emailaddress" Same as path "emailaddress"
resend "filename" n1, n2, ... nk Sends the indicated parts of
a file that was split for transmission purposes.
Commands are not case sensitive but filenames are. If your mailer
automatically adds things to the beginning or end of a message (like a
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(It is good practice to do this in any case.) Several commands may be
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NOT BE USED. "send" will take multiple filenames, e.g.,
send "filename1 filename2"
If a requested file is several Kbytes the server will
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the server is on a unix computer, filenames will be case sensitive. If
you request a file that is more than 64K, the mail server will split
the file into pieces. You must remove headers and trailing lines and
reassemble the file. Note that you should not "reply" to a message from
banach-files.
Examples
Suppose that you wanted to obtain the three files instructions.txt,
newsubscriber.txt and odellschlumprosen.tex but that your local mail
system will only allow messages of length 20K bytes.
----------------------------------------------
To:banach-files at math.okstate.edu
From:someone at somewhere.edu
Subject:
begin
send instructions.txt newsubscriber.txt
limit 20
send odellschlumprosen.tex
end
-----------------------------------------------
% The first reply is a diagnostic which tells you what the mail
%server thought you wanted and tells you what it will do:
----------------------------------------------
From mmdf at math.okstate.edu Thu Apr 1 12:48:37 1993
To: someone at somewhere.edu.
Subject: Request by someone at somewhere.edu
X-Server: Squirrel Mail Server Software V3.01A [process 3.68]
X-Info: Send mail to <postmaster at math.okstate.edu>
Date: Thu, 1 Apr 93 12:48:29 CST
From: mmdf at math.okstate.edu Sender: mmdf at math.okstate.edu
Content-Length: 1515
>>> PLEASE DO NOT REPLY TO THIS MESSAGE. REPLIES ARE AUTOMATICALLY
DISCARDED.
Processing mail headers... => Default return address:
"someone at somewhere.edu"
Processing message contents...
begin => Resetting
Command: send instructions.txt newsubscriber.txt
=> Transfer via email to "someone at somewhere.edu"
=> Send: instructions.txt
=> Send: newsubscriber.txt
Command: limit 20
=> Limit = 20K
Command: send odellschlumprosen.tex
=> Send: odellschlumprosen.tex
Command: end
=> Okay
Your message has been processed.
Request results:
Request Size Enc Limit Status
---------------------------------- ----- --- ----- ------
instructions.txt 7K A 64K Queued
newsubscriber.txt 4K A 64K Queued
odellschlumprosen.tex 54K A 20K Queued
Encoding A means: not encoded (plain file).
The requests with status "Queued" will be sent as soon as the load of
the server system permits, usually within 24 hours.
Mail Server finished.
----------------------------------------------------------------------
%Five mail messages will then be sent:instructions.txt,
%newsubscriber.txt, and odellschlumprosen parts 1,2,3.
%The first message begins
Request: instructions.txt
------ begin of instructions.txt -- ascii -- complete ------
Instructions for the Banach Space Bulletin Board
The Banach space bulletin board provides an archive of
preprints of papers in Banach space theory and related fields and a
database of information such as email addresses and abstracts
...
%The fourth message would contain odellschlumprosen.tex part 2.
%The second part of odellschlumprosen.tex begins
Request: odellschlumprosen.tex
------ begin of odellschlumprosen.tex -- ascii -- part 2 of 3 ------
the other holds. We will show that assuming case~1, we can find a
weakly null large refinement $(G_n)$ of $(F_n)$. Assuming case~2, we
shall produce a uniformly-$\ell_1$ large refinement $(G_n)$ of
$(F_n)$.
% and ends with
%%for all $\alpha,\beta \in [-1,1]$, $x\in S_{H_1}$ and all
------ end of odellschlumprosen.tex -- ascii -- part 2 of 3 ------
%Thus you must remove the header and trailer lines and join the
%pieces together before TeXing.
--------------------------------------------
%If parts two and three arrived in corrupted form, those
%parts could be obtained by the command sequence
begin
limit 20
resend odellschlumprosen.tex 2,3
end
%Note that it is important to set the limit to be the same as in
%the original message. There is no memory of your previous request.
%Resend works like send. All the parts are generated but
%only the parts requested are mailed.
--------------------------------------------
To:banach-files at math.okstate.edu
From:someone at somewhere.edu
Subject:
BEGIN
SEND Index
END
%This will cause the server to send the Index file to
%someone at somewhere.edu. Note that the commands are now in upper
%case but the file name is case sensitive.
----------------------------------------------
To:banach-files at math.okstate.edu
From:someone at somewhere.edu
Subject:
begin
reply nobody at nowhere.machine.edu
send alspach.atx pisierdisc.tex
end
%The files alspach.atx and pisierdisc.tex will be
%sent to nobody at nowhere.machine.edu.
------------------------------------------------
To:banach-files at math.okstate.edu
From:someone at somewhere.edu
Subject:
Greetings from I.M. Someone
begin
send alspach.atx.Z
end
I.M. Someone
Department of Mathematics
Alien U.
New Earth, Mars
%Note that the begin and end will cause the mailserver to
%process the actual command and ignore the garbage.
%There is no file named alspach.atx.Z but the mail server
%interprets this as a request for the file alspach.atx in
%compressed form. The file will be compressed first. Then
%because compression creates a binary file, the compressed
%file is then uuencoded to make it emailable. When received
%the file must be uudecoded and then uncompressed. These
%programs are usually available on UNIX systems. The advantage
%is that the resulting mail message is about 2/3 the size
%of the original file. If you are paying for email, this
%may be worth the extra trouble.
-------------------------------------------------------
Sending Your Message To All Subscribers or Adding Your Paper to the
Archive
Due to previous problems messages are not automatically forwarded to
all subscribers. If you wish to send a message to all subscribers or
add a paper to the bulletin board you should send a message to
banach-owner at math.okstate.edu. For example
---------------------------------------------
To:banach-owner at math.okstate.edu
From:someone at somewhere.edu
Subject: paper
Please add this paper to the Banach space bulletin board
%This paper is typed in TeX.
%Abstract: In this paper we prove that the Riemann Hypothesis is
% equivalent to the existence of a Banach space with ...
\magnification = 2000
....
-------------------------------------------------
The operator will then TeX and print the paper locally before
announcing the existence of the paper for downloading.
PLEASE INCLUDE AN ABSTRACT so that there is
something to send out to the subscribers. If the abstract is in
TeX, it is best if the abstract does not contain special macros.
If the email contains a message to be sent to all subscribers,
banach-owner will check the message and send it out. Controversial or
improper messages may be discarded at the discretion of banach-owner.
-------------------------------------------------
Adding Your Paper to the Archive by FTP
To add a paper to the archive you can send it to
banach-owner at math.okstate.edu by email as described above or you can
also use anonymous ftp as explained below.
Anonymous FTP
The files on the bulletin board are also accessible by
anonymous ftp. To use this you must have the correct software
on your machine and access to internet. The login name for this is
"anonymous" and the password is your address. So a session might go
like this:
ftp ftp.math.okstate.edu
login:anonymous
password:someone at somewhere.edu
cd pub/banach
get filename
bye
It is also possible to upload a file to the bulletin board. To do this
login as above but change directory to the subdirectory of pub/banach
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there is, change the name of your file otherwise the original file will
be overwritten. An upload session might look like this (after login).
cd pub/banach/incoming
ls
put mytheorem.tex
ls
bye
banach-owner will periodically check the directory pub/banach/incoming
for new papers, but it is a good idea to send an email notification to
banach-owner at math.okstate.edu.
You should look at your ftp manual to be sure that the commands are as
above:
cd change directory on the remote machine
ls directory listing in short form of directory on remote machine
bye logout and close connection
get copy (a file) from the remote machine to the local machine
put copy (a file) from the local machine to the remote machine
pwd print the current directory name for the remote machine
Remember that the remote machine has a unix (actually SunOS) operating
system so subdirectory names are separated by slashes (/) and names are
case sensitive.
Some TeXnical Remarks
Putting a paper in one of the TeX dialects on the bulletin board can
make it accessible to a large audience almost instantly. However it is
best not to get too fancy with TeX. TeX is very flexible and powerful,
but a TeX file that uses the specifics of your installation may not be
TeXable by anybody else. The users of this bulletin board are
interested in your mathematics not figuring out how to get your file
TeXed. Also it is better to include any macros that you define as part
of the file rather than using a \input. In the case of a few somewhat
standard sets of macros, e.g., mssymb.tex, a \input is OK. Even this
file is a nuisance because it deals directly with font sets that the
AMS has renamed. Thus depending on the installation, the file may have
to be edited.
Some machines have mailers which do not like lines with more than
80 characters. These mailers often apply some sort of line
breaking filter to the file. Unfortunately the results are
sometimes catastrophic for a TeX file. Please make sure that your
line length is limited to less than 80 characters. banach-owner
checks for this problem on each file that is added to the
archive, but it is a major nuisance to correct this problem
if there are many lines with excessive length.
There are still a few machines which do not translate all
standard ASCII characters correctly. As a diagnostic tool it is
very helpful to have a short section near the beginning of the
paper which contains a list of the non-alphanumeric characters
such as
%32 space 33 ! exclam. pt. 34 " double quote 35 # sharp
%36 $ dollar 37 % percent 38 & ampersand 39 ' prime
%40 ( left paren. 41 ) rt. paren. 42 * asterisk 43 + plus
%44 , comma 45 - minus 46 . period 47 / division
%58 : colon 59 ; semi-colon 60 < less than 61 = equal
%62 > greater than 63 ? question mark 64 at at
%91 [ left bracket 92 \ backslash 93 ] right bracket 94 ^ caret
% 95 _ underline 96 ` left single quote
%123 { left brace 124 | vertical bar 125 } right brace 126 ~ tilda
AMSTEX and AMSLATeX
The AMS makes its fonts and style files available by anonymous ftp and
insists that AMSTeX or AMSLATeX be used for papers in the AMS
journals.
They no longer use plain TeX and LATeX electronic files. (It was found
that fixing a paper was more costly than producing an AMSTeX file from
the printed manuscript.) There are guidelines for producing files in
"Guidelines for preparing electronic manuscripts" published by the
AMS.
This can be obtained from guide-elec at math.ams.com. (Specify AMSTeX or
AMSLATeX version.) Even if you are not preparing your manuscript for an
AMS publication this publication can point out places where being too
creative can cause trouble.
Obtaining AMS files
Style files can be obtained by email from
ams-tex at math.ams.com or ams-latex at math.ams.com. These files, AMSTeX and
others can also be retrieved by anonymous ftp to e-math.ams.com. (Look
in the ams subdirectory of e-math).
If you have any problems or find errors in the files in the Banach
bulletin board archive report them to banach-owner at math.okstate.edu.
From banach-request at math.okstate.edu Wed Apr 21 08:54:16 1993
To: banach-dist at math.okstate.edu
Subject: Ad for book by G.Anastassiou
Date: Wed, 21 Apr 93 8:42:37 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 5727
X-Lines: 159
Status: RO
Pitman Research Notes In Mathematical Series
George A. Anastassiou
"Moments in probability and approximation theory"
ABOUT THIS VOLUME
The use of probabilistic methods in other mathematical disciplines
has become a trend in recent years, since they produce simple and
elegant proofs usually leading to optimal results. This research
monograph in approximation theory and probability theory falls into
this category. Using methods from geometric moment theory, the
author first solves some very important basic moment problems, and
then develops in parallel the theories of convergence of positive
linear operators to the unit/weak convergence of finite measures to
the Dirac measure, both with rates. The results produced are
quantitative inequalities and most of them are either sharp or
nearly sharp. Many examples connecting the material to other
topics are given.
Readership: Researchers in approximation theory, probability
theory, numerical analysis, statistics, applied analysis, classical
analysis, measure theory, functional analysis, and related fields.
TABLE OF CONTENTS
Chapter One Page
A. Preview 1
I) On Chapter 2 2
II) On Chapter 3 4
III) On Chapter 4 6
IV) On Chapter 5 11
V) On Chapter 6 12
VI) On Chapter 7 14
VII) On Chapter 8 19
VIII) On Chapter 9 24
IX) On Chapter 10 26
X) On Chapter 11 29
XI) On Chapter 12 31
XII) On Chapter 13 33
XIII) On Chapter 14 35
XIV) On Chapter 15 36
Chapter Two
Geometric Moment Theory
2.1 Methods of Optimal Distance and Optimal Ratio 38
2.2 Convex Moments Methods 59
Chapter Three
Moment Problems of Kantorovich Type and Kantorovich Raidus
3.1 Moment Problems of Kantorovich Type 68
3.2 Kantorovich Radius 73
Chapter Four
Moment Problems Related to c-Rounding Proportions
4.1 Moment Problems Related to c-Rounding Proportions
Subject to one Moment Condition 80
4.2 Moment Problems Related to c-Rounding Proportions
Subject to Two Moment Conditions 90
4.3 Moment Problems Related to Jefferson-Rounding
Proportions Subject to Two Moment Conditions 100
4.4 Moment Problems Related to Adams Rule of Rounding
Subject to Two Moment Conditions 107
4.5 Moment Problems Related to Jefferson and Adams rules
of Rounding Subject to One Moment Condition 112
Chapter Five
The Levy Radius
5.1 The Levy Radius of a Set of Probability Measures
Satisfying Moment Conditions Involving {t,t^2} 123
5.2 The Levy Radius of a Set of Probability Measures
Satisfying Two Moment Conditions Involving a
Tchebycheff System 129
Chapter Six
The Prokhorov Radius
6.1 The Prokhorov Radius of a Set of Probability Measures
Satisfying Moment Conditions involving {t,t^2} 150
6.2 The Trigonometric Prokhorov Radius 170
Chapter Seven
Probability Measures, Positive Linear Operators and
Korovkin Type Inequalities
7.1 Introduction 199
7.2 Optimal Korovkin Type Inequalities 212
7.3 Nearly Optimal Korovkin Inequalities 223
7.4 Multivariate Korovkin Type Inequalities 234
Chapter Eight
Optimal Korovkin Type Inequalities Under Convexity
8.1 On the Degree of Weak Convergence of a Sequence of
Finite Measures to the Unit Measure Under Convexity 242
8.2 On the Rate of Weak Convergence of Convex Type
Finite Measures to the Unit Measure 259
8.3 On the Smooth Rate of Weak Convergence of Convex
Type Finite Measures to the Unit Measure 278
Chapter Nine
Optimal Korovkin Type Inequalities for Convolution Type
Operators
9.1 Sharp Inequalities for Convolution Operators 296
9.2 Sharp Inequalities for Non-positive Generalized
Convolution Operators 303
Chapter Ten
10.1 Optimal Korovkin Type Inequalities for Positive
Linear Stochastic Operators 313
Chapter Eleven
11.1 Optimal Korovkin Type Inequalities for Positive
Linear Operators Using an Extended Complete
Tchebycheff System 332
Chapter Twelve
12.1 A General "K-Attained" Inequality Related to the
Weak Convergence of Probability Measures to the
Unit Measure 355
Chapter Thirteen
13.1 A General Stochastic Inequality Involving Basic
Moments 370
Chapter Fourteen
14.1 Miscellaneous Sharp Inequalities and Korovkin-
type Convergence Theorems Involving Sequences of
Basic Moments 379
Chapter Fifteen
15.1 A Discrete Stochastic Korovkin Type Convergence
Theorem 386
Index 392
List of Symbols 393
References 396
From banach-request at math.okstate.edu Wed Apr 21 10:19:08 1993
To: banach-dist at math.okstate.edu
Subject: abstract of a paper by M.I. Ostrovskii
Date: Wed, 21 Apr 93 9:07:40 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 591
X-Lines: 25
Status: RO
DO NOT REPLY TO THIS MESSAGE.
This is the abstract of the paper "On Complemented Subspaces of Sums
and Products of Banach spaces " by M.I. Ostrovskii.
The paper is typed in AMSTeX. The paper may be downloaded
from the bulletin board by ftp to ftp.math.okstate.edu
or transmitting the commands
begin
send ostrovskiicompsbsp.atx
end
to: banach-files at math.okstate.edu.
Abstract:
It is proved that there exist complemented subspaces
of countable products (direct sums) of Banach spaces which cannot be
represented as products (direct sums) of Banach spaces.
File length:11254 bytes
From banach-request at math.okstate.edu Mon Apr 26 08:56:27 1993
To: banach-dist at math.okstate.edu
Subject: Announcement of a summer school on Banach spaces
Date: Mon, 26 Apr 93 8:49:33 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 3074
X-Lines: 110
Status: RO
**********************************************
* *
* 2. SUMMER SCHOOL ON BANACH SPACES *
* *
* RELATED AREAS AND APPLICATIONS *
* *
**********************************************
August 15--28, 1993 in Prague and Paseky (Czech Republic)
A EUROPEAN INTERUNIVERSITY COOPERATION PROGRAM
supported by Tempus and organized by
DEPARTMENT OF MATHEMATICAL ANALYSIS
CHARLES UNIVERSITY
Intensive mini-courses will be offered at a graduate level by
Gustave CHOQUET (Paris):
Mathematical Discovery and the Formation of Mathematicians
Miroslav HUSEK (Prague):
Cech's Contributions to Analysis
Stelios NEGREPONTIS (Athens):
(The title will be announced later)
Robert R. PHELPS (Washington):
Monotone Operators
Vlastimil PTAK (Prague):
Geometry of the Space and Spectrum of Operators
Stanimir TROYANSKI (Sofia):
Extreme Points and their Generalization in Banach Spaces
Lior TZAFRIRI (Jerusalem):
1. The Kadison -- Singer Extension Property
2. The Paving Property in l^p
The total duration of the meeting will be two weeks, but it
is possible to register for either week separately.
The conference fee will be 240,- US dollars for each
week. A reduced rate of 210,- US dollars will be offered, provided
a letter guaranteeing participation reaches the organizers
before May 15, 1993. The conference fee includes all local
expenses (room and board) and local transportation.
The fee is the same for accompanying persons.
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 main participants will be
Tempus students and teachers, but some other contributors
will be welcome.
The first week of the conference will be sited in Prague,
and the second at Paseky in the Krkonose mountains.
Due to the limited accommodation capacity the organizers
may be forced to decline registration.
In case of interest please fill out the enclosed registration form
and return it before July 15, 1993. A final announcement with
further details will be mailed in due time.
Mailing address:
Katedra matematicke analyzy
Matematicko-fyzikalni fakulta
Sokolovska 83
186 00 Praha 8
Czech republic
Phone/Fax: 42 - 2 - 231 76 62
E-mail: jlukes at cspguk11.bitnet
Kindly inform colleagues interested in this field !
******************************************************************
Registration form of Summer School:
Prague and Paseky 1993
Name: ..................
Address: ..................
..................
..................
E-mail: ..................
Fax: ..................
Phone: ..................
J.Lukes & J.Kottas
From banach-request at math.okstate.edu Mon May 3 09:30:38 1993
To: banach-dist at math.okstate.edu
Subject: Spring school in Czechland
Date: Mon, 3 May 93 9:24:55 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 3295
*********************************************************************
First Announcement
for the Spring School
N O N L I N E A R A N A L Y S I S, F U N C T I O N S P A C E S
A N D A P P L I C A T I O N S, V
May 22 - 27, 1994
in
Prague or its neighbourhood
The School continues the tradition established by the foregoing
Spring Schools held in 1978 (Horni Bradlo), 1982 (Pisek), 1986
(Litomysl), and 1990 (Roudnice), whose Proceedings appeared in the
series Teubner-Texte zur Mathematik, Teubner Verlag, Leipzig, as Vols.
19, 49, 93, and 119, resp.
The School is organized by the Institute of Mathematics of the
Czech Academy of Sciences, Prague, together with the University of
West Bohemia, Pilsen. The following speakers have agreed to give
courses of about 4 hours on the topics of the School:
F. CHIARENZA (Catania)
D. E. EDMUNDS (Sussex)
B. KAWOHL (Erlangen)
F. J. MARTIN-REYES (Malaga)
E. SAWYER (Hamilton)
V. D. STEPANOV (Khabarovsk)
G. TALENTI (Firenze)
R. L. WHEEDEN (New Brunswick)
There will be time for informal discussions, possibly a poster
session or a limited number of short communications.
The second announcement will be mailed in the second half of
1993. If you would like to have your name included on the mailing list
please contact the Organizing Committee at:
A. Kufner (Chairman)
Institute of Mathematics of the Czech Academy of Sciences
Zitna 25, 115 67 Praha 1, Czech Republic
e-mail: kufner at csearn.bitnet
or send the filled in Preliminary Application Form to the Organizing
Committee.
The Organizing Committee: Pavel Drabek, Miroslav Krbec, Alois Kufner,
Jan Lang, Bohumir Opic, Lubos Pick,
Jiri Rakosnik
*********************************************************************
*********************************************************************
International Spring School
N O N L I N E A R A N A L Y S I S, F U N C T I O N S P A C E S
A N D A P P L I C A T I O N S, V
May 22 - 27, 1994
in
Prague or its neighbourhood
P r e l i m i n a r y A p p l i c a t i o n F o r m
I am interested in participation in the International Spring
School Nonlinear Analysis, Function Spaces and Applications, V,
May 22 - 27, 1994. Please keep me informed.
Name: ...............................................................
Mailing address: ....................................................
....................................................
....................................................
....................................................
E-mail: .............................................................
Wishes, comments:
............... ...............
Date Signature
Address of the Organizing Committee:
A. Kufner (Chairman)
Institute of Mathematics of the Czech Academy of Sciences
Zitna 25
115 67 Praha 1
Czech Republic
e-mail: kufner at csearn.bitnet
(Feel free to make copies for your colleagues.)
*********************************************************************
From banach-request at math.okstate.edu Tue May 4 12:07:23 1993
To: banach-dist at math.okstate.edu
Subject: New email address for M. Ostrovskii
Date: Tue, 4 May 93 11:57:29 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 191
X-Lines: 5
Status: RO
My e-mail address is changed slightly
New address is:
mostrovskii%ilt.kharkov.ua at relay.ussr.eu.net
My previous address will be valid for some time.
Sincerely yours, Mikhail Ostrovskii
From banach-request at math.okstate.edu Tue May 11 16:04:04 1993
To: banach-dist at math.okstate.edu
Subject: Abstarct of a paper by P. Mankiewicz and S. J. Szarek
Date: Tue, 11 May 93 15:56:21 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1081
X-Lines: 35
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "Random Banach spaces. The
limitations of the method" by P. Mankiewicz and S. J. Szarek. The
paper is typed in LATeX. The paper may be downloaded from the bulletin
board by ftp to ftp.math.okstate.edu or transmitting the commands
begin
send mankiewiczszarek.ltx
end
to: banach-files at math.okstate.edu.
Abstract: We study the properties of "generic", in the sense of the
Haar
measure on the corresponding Grassmann manifold, subspaces of
l^N_infinity
of given dimension. We prove that every "well bounded" operator on
such a
subspace, say E, is a "small" perturbation of a multiple of identity,
where "smallness" is defined intrinsically in terms of the geometry of
E.
In the opposite direction, we prove that such "generic subspaces of
l^N_infinity" do admit "nontrivial well bounded" projections, which
shows
the "near optimality" of the first mentioned result, and proves the so
called "Pisier's dichotomy conjecture" in the "generic" case.
File length:34805
From banach-request at math.okstate.edu Sat Jun 5 09:51:51 1993
To: banach-dist at math.okstate.edu
Subject: Address change for Hermann Koenig
Date: Sat, 5 Jun 93 9:43:45 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 585
Address change. Effective July 1,1993 ZIP codes in Germany change. My
correct address then will be
Hermann Koenig, Mathematisches Seminar, Universitaet Kiel,Ludewig Meyn
Str.4,
24 098 KIEL, Germany (ZIP code 2300 is changed to 24 098).
As for my private address, it will be Holm 27, 24 113 MOLFSEE,
Germany.
Further, e-mail addresses on the X400-net in Germany will use 'd400'
instead of 'dbp' in the future. Using this, my new address is
NMS22 at rz.uni-kiel.d400.de
The old address NMS22 at rz.uni-kiel.dbp.de is valid until Dec.31,
1993.
With best regards
Hermann Koenig
From banach-request at math.okstate.edu Mon Jun 7 14:01:10 1993
To: banach-dist at math.okstate.edu
Subject: Abstracts of two papers by G. Pisier
Date: Mon, 7 Jun 93 13:54:06 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 2321
X-Lines: 67
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "Noncommutative vector valued
$L_p$-spaces and completely $p$-summing maps" by G. Pisier. The paper
is typed in TeX. The paper may be downloaded from the bulletin board by
ftp to ftp.math.okstate.edu or transmitting the commands
begin
send pisiernoncommLp.tex
end
to: banach-files at math.okstate.edu.
Abstract: Let $E$ be an operator space in the sense of the theory
recently developed by Blecher-Paulsen and Effros-Ruan. We introduce a
notion of $E$-valued non commutative $L_p$-space for $1 \leq p <
\infty$ and we prove that the resulting operator space satisfies the
natural properties to be expected with respect to e.g. duality and
interpolation. This notion leads to the definition of a ``completely
p-summing" map which is the operator space analogue of the
$p$-absolutely summing maps in the sense of Pietsch-Kwapie\'n. These
notions extend the particular case $p=1$ which was previously studied
by Effros-Ruan.
File length:32K
This is the abstract of the paper "Complex Interpolation and Regular
Operators Between Banach " by G. Pisier. The paper is typed in TeX.
The paper may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the commands
begin
send pisierregopBlat.tex
end
to: banach-files at math.okstate.edu.
Abstract: We study certain interpolation and
extension properties of the space of regular operators
between two Banach lattices. Let $R_p$ be the space of all
the regular (or equivalently order bounded) operators on
$L_p$ equipped with the regular norm. We prove the
isometric identity $R_p = (R_\infty,R_1)^\theta$ if
$\theta = 1/p$, which shows that the spaces $(R_p)$ form
an interpolation scale relative to Calder\'on's
interpolation method. We also prove that if $S\subset L_p$
is a subspace, every regular operator $u : S \to L_p$
admits a regular extension $\tilde u : L_p \to L_p$ with
the same regular norm. This extends a result due to
Mireille L\'evy in the case $p = 1$. Finally, we apply
these ideas to the Hardy space $H^p$ viewed as a subspace
of $L_p$ on the circle. We show that the space of regular
operators from $H^p$ to $L_p$ possesses a similar
interpolation property as the spaces $R_p$ defined above.
File length:11K
From banach-request at math.okstate.edu Wed Jun 9 10:53:19 1993
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by Alex Koldobsky
Date: Wed, 9 Jun 93 10:44:48 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 906
Status: RO
X-Lines: 33
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "Isometric stability property of
certain Banach spaces " by A. Koldobsky. The paper is typed in TeX.
The paper may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the commands
begin
send koldobskyisostab.tex
end
to: banach-files at math.okstate.edu.
Abstract: Let $E$ be one of the spaces $C(K)$ and $L_1$,
$F$ be an arbitrary Banach space, $p>1,$ and $(X,\sigma)$ be a
space with a finite measure. We prove that $E$ is isometric to a
subspace of the Lebesgue-Bochner space $L_p(X;F)$ only if $E$ is
isometric to a subspace of $F.$ Moreover, every isometry
$T$ from $E$ into $L_p(X;F)$ has the form
$Te(x)=h(x)U(x)e, e\in E,$ where $h:X\rightarrow R$
is a measurable function and, for every $x\in X,$ $U(x)$ is
an isometry from $E$ to $F.$
File length: 14K
From banach-request at math.okstate.edu Mon Jun 14 09:22:52 1993
To: banach-dist at math.okstate.edu
Subject: Winter School 1994
Date: Mon, 14 Jun 93 9:16:39 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 2849
X-Lines: 105
Status: RO
James B. Cooper, Paul Mueller, Charles Stegall
e-mail: K318290 at EDVZ.UNI-LINZ.AC.AT
WINTERSCHOOL IN ANALYSIS
February 14 --- 19, 1994
Strobl am Wolfgangsee
The Mathematical Institute of the Johannes Kepler University, Linz is
organising a Winter School in Analysis within the framework of
the Tempus project No. JEP 1988. Tempus projects are joint European
ventures with the main aim of establishing contacts at all levels but
in
particular at student level between European countries, with the
emphasis
on integrating students from the former Eastern block.
The Winter School will be from February 14th - 19th, 1994,
in the beautiful resort of Strobl on Wolfgangsee.
It will take the form of series of 5 connected lectures. The following
mathematicians have agreed to give such a mini-course:
Professor N.G. Makarov, California Institute of Technology (Pasadena),
TITLE: Chaos and Complex Analysis
Professor D.H. Phong, Columbia University (New York),
TITLE: Fourier Integral Operators
The conference will be held in the "Bundesinstitut fuer
Erwachsenenbildung",
St. Wolfgang, 5350 Strobl, (Tel.: 06137 3720).
This is a conference centre with full facilities for accommodation
(with meals).
We would be very happy if you could accept this invitation and
request you to let us know your decision as soon as possible.
James B. Cooper, Paul Mueller, Charles
Stegall
REGISTRATIONFORM
NAME:
..................................................................
ADRESSE:
..................................................................
..................................................................
..................................................................
I would like to register for the Winter School in Analysis.
Date of arrival:
Date of departure:
The Lectures will take place from Monday, the 14th of February
till Friday the 18th of February. Participants can check in at the
Conference Centre after midday Sunday and should check out before
midday
Saturday.
Accomodation: Please book accomodation for ... persons
1. in a double room at the Conference Centre o
2. in a single room at the Conference Centre o
3. in a boarding house ("Pension") in Strobl o
4. in a hotel in Strobl o
The cost of full board at the Conference Centre will be about 2.500
Austrian Schillings (ca. USD 250,-).
Remarks:
Please return this form to the following address:
Renata Muehlbachler
Institut fuer Mathematik
Johannes Kepler Universitaet
Altenbergerstrae 69
A-4040 Linz
Austria
The deadline for registration is 10. 11. 1993 but would-be participants
are
advised to register as soon as possible since the available
accomodation at
the conference centre is limited.
From banach-request at math.okstate.edu Mon Jun 14 10:05:39 1993
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by A. Hess and G. Pisier
Date: Mon, 14 Jun 93 9:40:39 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1329
X-Lines: 47
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "The k_t--functional for the
interpolation couple
L^\infty(d\mu;L^1(d\nu)),
L^\infty(d\nu;L^1(d\mu)) " by A. Hess and G. Pisier.
The paper is typed in LATeX. The paper may be downloaded
from the bulletin board by ftp to ftp.math.okstate.edu
or transmitting the commands
begin
send hesspisierktfnctnl.ltx
end
to: banach-files at math.okstate.edu.
Abstract:Let $(M,\mu)$ and $(N,\nu)$ be measure spaces. In this paper,
we study the
$K_t$--\,functional for the couple
$$A_0=L^\infty(d\mu\,; L^1(d\nu))\,,~~A_1=L^\infty(d\nu\,;
L^1(d\mu))\,.
$$
Here, and in what follows
the vector valued $L^p$--\,spaces $L^p(d\mu\,; L^q(d\nu))$ are meant
in Bochner's sense.
One of our main results is the following, which can be viewed as a
refinement
of a lemma due to Varopoulos [V].
\proclaim Theorem 0.1. Let $(A_0,A_1)$ be as above. Then for all $f$
in $A_0+A_1$ we have
$${1\over 2}\,K_t(f;\,A_0\,,A_1)\leq
\sup\,\bigg\{ \Big(\mu(E)\vee t^{-1}\nu(F)\Big)^{-1}
\int_{E\times F} \vert f\vert\,d\mu\,d\nu\,\bigg\}
\leq K_t(f;\,A_0\,,A_1)\,,$$
where the supremum runs over all measurable subsets $E\subset M\,,~
F\subset N$ with positive and finite measure and $u\!\vee\!v$ denotes
the maximum of the reals $u$ and $v$.
File length:37K
From banach-request at math.okstate.edu Mon Jun 21 16:55:18 1993
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by D. Leung
Date: Mon, 21 Jun 93 16:51:02 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 961
X-Lines: 30
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "Some stability properties of
$c_0$-saturated spaces " by D. Leung. The paper is typed in LATeX. The
paper may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the commands
begin
send leungstbltyc0sat.ltx
end
to: banach-files at math.okstate.edu.
Abstract:A Banach space is $c_0$-saturated if all of its closed
infinite
dimensional subspaces contain an isomorph of $c_0$. In this
article,
we study the stability of this property under the formation of
direct sums and tensor products. Some of the results are:
(1) a slightly more general version of the fact that $c_0$-sums of
$c_0$-saturated spaces are $c_0$-saturated; (2) $C(K,E)$ is
$c_0$-saturated if both $C(K)$ and $E$ are; (3) the tensor product
$JH\tilde{\otimes}_\epsilon JH$ is $c_0$-saturated, where $JH$ is
the James Hagler space.
File length:51K
From banach-request at math.okstate.edu Wed Jun 23 09:58:42 1993
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by R. Komowski and N. Tomczak-Jaegermann
Date: Wed, 23 Jun 93 9:52:16 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 805
X-Lines: 24
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "Banach spaces without local
unconditional structure" by R. Komowski and N. Tomczak-Jaegermann. The
paper is typed in LATeX. The paper may be downloaded from the bulletin
board by ftp to ftp.math.okstate.edu or transmitting the commands
begin
send komorowskitomczaklst.ltx
end
to: banach-files at math.okstate.edu.
Abstract:For a large class of Banach spaces, a general construction
of subspaces without local unconditional structure is presented. As
an application it is shown that every Banach space of finite cotype
contains either $l_2$ or a subspace without unconditional basis,
which admits a Schauder basis.
Some other interesting applications and corollaries follow.
File length:61K
From banach-request at math.okstate.edu Fri Jul 2 12:52:47 1993
To: banach-dist at math.okstate.edu
Subject: Czech summer school on Banach spaces
Date: Fri, 2 Jul 93 12:43:28 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 5379
=====================
2nd SUMMER SCHOOL
=====================================
ON BANACH SPACES, RELATED AREAS
=====================================
AND APPLICATIONS
===================
August 15--28, 1993 in Prague and Paseky (Czech Republic)
---------------------------------------------------------
A EUROPEAN INTERUNIVERSITY COOPERATION PROGRAM
----------------------------------------------
supported by Tempus and organized by
DEPARTMENT OF MATHEMATICAL ANALYSIS
--------------------------------------
CHARLES UNIVERSITY, PRAGUE
--------------------------
The Summer School is dedicated to the centenary
of the birth of Eduard CECH (1893 -- 1957).
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Intensive mini-courses will be offered at a graduate level by
Gustave CHOQUET (Paris)
Mathematical Discovery and the Formation of Mathematicians
Miroslav HUSEK (Prague)
Cech's Contributions to Analysis
Stelios NEGREPONTIS (Athens)
Baire One Functions on Banach Spaces
Robert R. PHELPS (University of Washington, Seattle)
Monotone Operators
Vlastimil PTAK (Prague)
Geometry of the Space and Spectrum of Operators
Stanimir TROYANSKI (Sofia)
Extreme Points and their Generalization in Banach Spaces
Lior TZAFRIRI (Jerusalem)
The Kadison -- Singer Extension Property
The Paving Property in l^p
Vaclav ZIZLER (Edmonton)
Markusevic Bases and Applications
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
The total duration of the meeting will be two weeks, but it
is possible to register for either week separately.
The conference fee will be 240,- US dollars for each week. The
conference fee includes all local expenses (room and board) and
local transportation. The fee is the same for accompanying
persons.
The first week of the School will be held at the Faculty of
Mathematics and Physics at Praha-Troja, accommodation and board
will be provided in new students's hostel (on the north outskirts
of Prague) at a distance of about 300 m.
Here there are blocks of two twin bedded rooms, joined
together by a small kitchen, shower and lavatory. (Of course,
meals will be served in the dining room.) The proposed fee for
the week is based on four people staying in block. Of course,
more luxurious accommodation is available in hotels in the centre
of the city, but prices here are now very high.
The conference fee includes accommodation in shared twin
rooms. Sole occupancy of a twin room will be available for extra
supplement of US dollars 105.
Public transport between Troja and the centre of the city is
quite frequent, fast and inexpensive and, moreover, we plan the
participants will get free tickets.
All participants should register in the hostel Sunday 15th
August from 13.00.
Address: VSK 17. listopadu
Patkova 3
182 00 Praha 8 -- Troja
Czech Republic
To reach the hostel from central Prague take a "C" (red)
line metro to Holesovice nadrazi (the northern terminus) and then
bus 112 (direction "ZOO") to the second stop.
Dinner will be provided in the dining hall, and the
scientific programme will begin on Monday at 9.00.
On Sunday 22 August some sight-seeing walks in Prague will be
arranged, and at 16.00 we will leave from Troja for Paseky, for
the second week of the School.
The village of Paseky lies in the slopes of the Krkonose
Mountains, in North Bohemia.
Address of the chalet: Rekreacni stredisko
Sprava dalkovych kabelu
512 47 Paseky nad Jizerou 99
Czech Republic
phone: 42-(0)432-92374
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. The bus from Paseky
will arrive in Prague on Saturday 28th August at 11.30 a. m.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
The scientific programme will be organized in two distinct parts.
Main speakers for the first week will be:
Choquet (3 lectures), Husek (1), Phelps (3),
Ptak (5), Troyanski (5), Tzafriri (3)
and for the second week:
Negrepontis (5), Phelps (5),
Tzafriri (5), Zizler (3).
Detailed information will be distributed to participants at
their registration.
Please, confirm in a short note (e. g. by e-mail or fax) your
-------------------------------------------------------------
participation (for each week separately).
-----------------------------------------
Mailing address: Katedra matematicke analyzy
Matematicko-fyzikalni fakulta UK
Sokolovska 83, 186 00 Praha 8
Czech Republic
Phone/Fax: 42 - 2 - 231 76 62
E-mail: umzjk at csearn.bitnet or
umzjk at earn.cvut.cs or
jkottas at cspguk11.bitnet
Kindly inform colleagues interested in this field !
We are looking forward to meeting you in Czech republic.
Jaroslav Lukes, Jiri Kottas
--------------------------------------------------------------
An AMSTeX file containing the abstracts for some of the talks is
available from the bulletin board by ftp to ftp.math.okstate.edu
or transmitting the commands
begin
send summer.school.atx
end
to: banach-files at math.okstate.edu.
From banach-request at math.okstate.edu Thu Jul 8 14:46:11 1993
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by Y. Latushkin and S. Montgomery-Smith
Date: Thu, 8 Jul 93 14:36:15 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1040
X-Lines: 30
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "Evolutionary Semigroups and Lyapunov
Theorems in Banach Spaces" by Y. Latushkin and S. Montgomery-Smith. The
paper is typed in AMSLATeX. The paper may be downloaded from the
bulletin board by ftp to ftp.math.okstate.edu or transmitting the
commands
begin
send latushkinmontsmithsemigp.ltx
end
to: banach-files at math.okstate.edu.
Abstract:
We present a spectral mapping theorem for continuous semigroups of
operators on any Banach space $E$. The condition for the
hyperbolicity of a semigroup on $E$ is given in terms of
the generator of an evolutionary semigroup acting in the space of
$E$-valued functions. The evolutionary semigroup generated by
the propagator of a nonautonomous differential
equation in $E$ is also studied. A ``discrete'' technique for the
investigating of the evolutionary semigroup is developed and applied to
describe the hyperbolicity (exponential dichotomy) of the nonautonomuos
equation.
File Length: 68K
From banach-request at math.okstate.edu Tue Jul 20 09:01:47 1993
To: banach-dist at math.okstate.edu
Subject: UTAMIRFAS (BULLETIN)
Date: Tue, 20 Jul 93 8:56:15 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 2494
X-Lines: 86
Status: RO
ANNOUNCEMENT OF SUMMER UTAMIRFAS
The U.T.-A&M Informal Regional Functional Analysis Seminar
will meet Saturday, August 7 and Sunday, August 8
in 317 Milner Hall at Texas A&M in College Station.
Schedule
Saturday, August 7
10:00- Coffee & Donuts
10:30- G. Schechtman, The Weizmann Institute of Science, Banach
11:20 spaces with the 2-summing property.
11:30- R. Crist, Texas A&M University, Local mappings on
12:00 operator algebras.
BREAK FOR LUNCH
1:30- E. Kirchberg, University of Heidelberg, Exact C*-algebras
(results
2:20 and open questions).
2:30- A. Donsig, Texas A&M University, The Jacobson radical and other
3:00 ideals of triangular AF algebras.
COFFEE BREAK
3:30- A. Koldobski, University of Texas at San Antonio, A few reasons
4:20 for calculating the Fourier transform of norm dependent
functions.
4:40- TBA
5:30
Sunday, August 8
9:00 Coffee & Donuts
9:30- S. Dilworth, University of South Carolina at Columbia, Banach
10:20 spaces which admit a norm with the uniform Kadec-Klee
property.
10:40- G. Pisier, Texas A&M University, Non-commutative vector
11:30 valued L_p-spaces.
11:45- G. Popescu, Texas A&M University, Noncommutative dilation
12:15 theory on Fock spaces.
HOUSING: We have reserved some rooms at the Memorial Student
Center Guest Rooms (on campus-(409) 845-8909). You will need
to go through Deidra Williams, (dlw4298 at math.tamu.edu,
(409) 845-3261, (409) 845-6028 FaX) to get one of these rooms.
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.
LIST OF MOTELS: Below are some local motels. If you wish to stay
in one of them, you should contact the motel directly.
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.
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.
A. Arias, arias at math.tamu.edu, (409) 845-6727 (office),
(409) 846-0417 (home)
From banach-request at math.okstate.edu Mon Jul 26 09:23:33 1993
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by P.K. Lin
Date: Mon, 26 Jul 93 9:17:36 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 674
X-Lines: 30
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "Unrestricted products of
contractions in Banach spaces" by P.K. Lin. The paper is typed in
AMSTeX. The paper may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the commands
begin
send linprodcntrct.atx
end
to: banach-files at math.okstate.edu.
Abstract:Let $X$ be a reflexive Banach space such that for any $x \ne
0$ the set $$ \{x^* \in X^*: \text {$\|x^*\|=1$ and $x^*(x)=\|x\|$}\}
$$ is compact. We prove that any unrestricted product of of a finite
number of $(W)$ contractions on $X$ converges weakly.
File length:17K
From banach-request at math.okstate.edu Thu Jul 29 09:14:39 1993
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by B. Maurey
Date: Thu, 29 Jul 93 9:10:44 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 539
X-Lines: 24
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "A remark about distortion" by B.
Maurey.
The paper is typed in TeX. The paper may be downloaded
from the bulletin board by ftp to ftp.math.okstate.edu
or transmitting the commands
begin
send maureydistrt.tex
end
to: banach-files at math.okstate.edu.
Abstract:In this note we show that every Banach space $X$
not containing $\ell_1^n$ uniformly and
with unconditional basis
contains an arbitrarily distortable subspace.
File length:19K
From banach-request at math.okstate.edu Thu Aug 5 08:42:20 1993
To: banach-dist at math.okstate.edu
Subject: UTAMIRFAS
Date: Thu, 5 Aug 93 8:37:36 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 2535
X-Lines: 85
Status: RO
FINAL ANNOUNCEMENT OF SUMMER UTAMIRFAS
The U.T.-A&M Informal Regional Functional Analysis Seminar
will meet Saturday, August 7 and Sunday, August 8
in 317 Milner Hall at Texas A&M in College Station.
Schedule
Saturday, August 7
10:00- Coffee & Donuts
10:30- G. Schechtman, The Weizmann Institute of Science, Banach
11:20 spaces with the 2-summing property.
11:30- R. Crist, Texas A&M University, Local mappings on
12:00 operator algebras.
BREAK FOR LUNCH
1:30- E. Kirchberg, University of Heidelberg, Exact C*-algebras
(results
2:20 and open questions).
2:30- A. Donsig, Texas A&M University, The Jacobson radical and other
3:00 ideals of triangular AF algebras.
COFFEE BREAK
3:30- A. Koldobski, University of Texas at San Antonio, A few reasons
4:20 for calculating the Fourier transform of norm dependent
functions.
4:40- V. Paulsen, The University of Houston, TBA
5:30
Sunday, August 8
9:00 Coffee & Donuts
9:30- S. Dilworth, University of South Carolina at Columbia, Banach
10:20 spaces which admit a norm with the uniform Kadec-Klee
property.
10:40- G. Pisier, Texas A&M University, Non-commutative vector
11:30 valued L_p-spaces.
11:45- G. Popescu, Texas A&M University, Noncommutative dilation
12:15 theory on Fock spaces.
HOUSING: We have reserved some rooms at the Memorial Student
Center Guest Rooms (on campus-(409) 845-8909). You will need
to go through Deidra Williams, (dlw4298 at math.tamu.edu,
(409) 845-3261, (409) 845-6028 FaX) to get one of these rooms.
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.
LIST OF MOTELS: Below are some local motels. If you wish to stay
in one of them, you should contact the motel directly.
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.
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.
A. Arias, arias at math.tamu.edu, (409) 845-6727 (office),
(409) 846-0417 (home)
From banach-request at math.okstate.edu Thu Aug 5 09:32:08 1993
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by G. Pisier
Date: Thu, 5 Aug 93 9:28:26 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 758
X-Lines: 29
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "Projections from a von~Neumann
algebra onto a subalgebra" by G. Pisier. The paper is typed in TeX.
The paper may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the commands
begin
send pisierprojsubalg.tex
end
to: banach-files at math.okstate.edu.
Abstract:This paper is mainly devoted to the following
question:\ Let $M,N$ be von~Neumann algebras with $M\subset N$, if
there is
a completely bounded projection $P\colon \ N\to M$, is
there automatically a contractive projection $\widetilde P\colon \ N\to
M$?
We give an affirmative answer with the only restriction that $M$ is
assumed
semi-finite.
File length:32K
From banach-request at math.okstate.edu Mon Aug 9 12:38:23 1993
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by G. Pisier
Date: Mon, 9 Aug 93 12:34:43 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1667
X-Lines: 48
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "Exact operator spaces" by G.
Pisier.
The paper is typed in TeX. The paper may be downloaded
from the bulletin board by ftp to ftp.math.okstate.edu
or transmitting the commands
begin
send pisierexactopsp.tex
end
to: banach-files at math.okstate.edu.
Abstract:In this paper, we study {\it operator spaces\/} in the sense
of the
theory developed recently by Blecher-Paulsen [BP] and Effros-Ruan
[ER1]. By an operator space, we mean a closed subspace $E\subset B(H)$,
with $H$ Hilbert.
We will be mainly concerned here with the ``geometry'' of {\it finite
dimensional\/} operator spaces. In the Banach space category, it is
well known that every separable space embeds isometrically into
$\ell_\infty$. Moreover, if $E$ is a finite dimensional normed space
then
for each $\vp>0$, there is an integer $n$ and a subspace $F\subset
\ell^n_\infty$ which is $(1+\vp)$-isomorphic to $E$, i.e. there is an
isomorphism $u\colon \ E\to F$ such that $\|u\|\ \|u^{-1}\|\le 1+\vp$.
Here
of course, $n$ depends on $\vp$, say $n=n(\vp)$ and usually (for
instance
if $E = \ell^k_2$) we have $n(\vp)\to \infty$ when $\vp\to 0$.
Quite interestingly, it turns out that this fact is not valid in the
category of operator spaces:\ although every operator space embeds
completely isometrically into $B(H)$ (the non-commutative analogue of
$\ell_\infty$) it is not true that a finite dimensional operator space
must
be close to a subspace of $M_n$ (the non-commutative analogue of
$\ell^n_\infty$) for some $n$. The main object of this paper is to
study
this phenomenon.
File length:74K
From banach-request at math.okstate.edu Tue Aug 10 10:05:34 1993
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by E. Odell and T. Schlumprecht
Date: Tue, 10 Aug 93 10:02:33 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 707
Status: RO
X-Lines: 26
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "On impossible extensions of
Krivine's Theorem" by E. Odell and T. Schlumprecht. The paper is typed
in AMSTeX. The paper may be downloaded from the bulletin board by ftp
to
ftp.math.okstate.edu or transmitting the commands
begin
send odellschlumprechtKrvnThm.atx
end
to: banach-files at math.okstate.edu.
Abstract:We give examples of two Banach spaces. One Banach space has no
spreading model which contains $\ell_p$ ($1\le p<\infty$) or $c_0$. The
other space has an unconditional basis for which $\ell_p$ ($1\le
p<\infty$) and $c_0$ are block finitely represented in all block
bases.
File length:51K
From banach-request at math.okstate.edu Fri Aug 13 10:23:06 1993
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by N. Kalton and D. Werner
Date: Fri, 13 Aug 93 10:16:59 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 708
X-Lines: 26
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "The $M$-ideal structure of some
algebras of bounded linear operators" by N. Kalton and D. Werner. The
paper is typed in LATeX. The paper may be downloaded from the bulletin
board by ftp to ftp.math.okstate.edu or transmitting the commands
begin
send kaltonwernerMidl.ltx
end
to: banach-files at math.okstate.edu.
Abstract:Let $1<p,\,q<\infty$.
It is shown for complex scalars
that there are no nontrivial $M$-ideals in
$L(L_p[0,1])$ if $p\neq 2$,
and $K(\ell_p(\ell_q^n)$ is the only nontrivial $M$-ideal in
$L(\ell_p(\ell_q^n)$. This proves a conjecture of C.-M. Cho and
W. B. Johnson.
File length:32K
From GJP1168 at rigel.tamu.edu Wed Aug 25 15:03:25 1993
Date: Wed, 25 Aug 1993 15:03:19 -0500 (CDT)
From: GJP1168 at venus.tamu.edu
To: alspach at math.okstate.edu
Subject: Re: check
Content-Length: 1145
Status: RO
X-Lines: 48
Dear Dale a better version is this
please use this one preferably
This is to announce a
WORKSHOP ON OPERATOR SPACES
to be held at
Texas A&M University
October 19 to 21 1993
(Immediately before the AMS meeting)
Tentative list of one hour speakers at this point:
D. BLECHER,
E. EFFROS,
J. KRAUS,
V. PAULSEN,
F. RADULESCU,
Z. J. RUAN,
R. SMITH.
Other probable participants: B. Mathes, I. Raeburn, C. Le Merdy.
More talks will be organized
during the workshop.
Local organizer: Gilles Pisier.
(GJP1168 at tamvenus.bitnet or GIP at frunip62.bitnet).
Anyone interested in participating
should contact, for all the practical arrangements,
the secretary in charge of the workshop
Deidra Williams
Math. Dept. Texas A&M Univ. College Station TX 77843
at the following email address:
DLW4298 at math.tamu.edu
in particular in order to make room reservations.
(Probably it is best to also send a copy
of your message to Pisier.)
We unfortunately cannot provide support
except for the invited speakers.
The meeting will begin
on october 19 at approximately 10 am
and end on october 21 at 5pm.
From banach-request at math.okstate.edu Tue Aug 24 13:27:26 1993
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by G. Pisier
Date: Tue, 24 Aug 93 13:14:54 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1482
Status: RO
X-Lines: 37
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "Regular operators between
non-commutative $L_p$-spaces" by G. Pisier. The paper is typed in
TeX.
The paper may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the commands
begin
send pisierregopLp.tex
end
to: banach-files at math.okstate.edu.
Abstract:We introduce the notion of a regular mapping on a
non-commutative $L_p$-space associated to a hyperfinite
von Neumann algebra for $1\le p\le \infty$. This is a non-commutative
generalization of the notion of regular or order bounded map on a
Banach lattice. This extension is based on our recent paper [P3],
where we introduce and study a non-commutative version of vector valued
$L_p$-spaces. In the extreme cases $p=1$ and $p=\infty$, our regular
operators reduce to the completely bounded ones and the regular norm
coincides with the $cb$-norm. We prove that a mapping is regular iff it
is a linear combination of bounded, completely positive mappings. We
prove an extension theorem for regular mappings defined on a subspace
of a non-commutative $L_p$-space. Finally, let $R_p$ be the space of
all regular mappings on a given non-commutative $L_p$-space equipped
with the regular norm. We prove the isometric identity
$R_p=(R_\infty,R_1)^\theta$ where $\theta=1/p$ and where
$(\ .\ ,\ .\ )^\theta$ is the dual
variant of Calder\'on's complex interpolation method.
File length:48K
From banach-request at math.okstate.edu Thu Sep 23 13:41:16 1993
To: banach-dist at math.okstate.edu
Subject: change of email for G. Pisier
Date: Thu, 23 Sep 93 13:33:09 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 225
Dear colleague,
from now on please use only the
following internet address to
reach me by email:
gip at ccr.jussieu.fr
The messages sent to the old
bitnet address (gip at frunip62) will
soon stop being delivered.
Gilles Pisier
From banach-request at math.okstate.edu Mon Sep 13 12:27:45 1993
To: banach-dist at math.okstate.edu
Subject: Abstracts of two papers by S. Montgomery-Smith and V.H. de la Pena
Date: Mon, 13 Sep 93 11:56:47 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1883
Status: RO
X-Lines: 53
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the papers "Bounds on the Tail Probability of
U-Statistics and Quadratic Forms" and "Decoupling Inequalities for the
Tail Probabilities of Multivariate U-statistics" by Victor H. de la
Pe\~na and S. J. Montgomery-Smith. The paper is typed in TeX. The
paper may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the commands
begin
send montsmithpenaustat.tex
send montsmithpenadecupustat.tex
end
to: banach-files at math.okstate.edu.
Abstract:Both papers are concerned with the following result which
allows
one to decouple U-Statistics in tail probability.
Theorem 1.
Let $X_i$\ be a sequence of independent random variables taking
values in a measure space $S$, and let $f_{i_1\dotsi_k}$\ be
measurable functions from $S^k$\ to a Banach space $B$.
Let $(X_i^{(j)})$\ be independent copies of $(X_i)$.
The following inequality holds for all $t \ge 0$ and all
$n\ge 2$,
$$ P(||\sum_{1\le i_1 \ne \dots \ne i_k \le n}
f_{i_1 \dots i_k}(X_{i_1},\dots,X_{i_k}) || \ge t) \qquad\qquad$$
$$ \qquad\qquad\le
C_k P(C_k||\sum_{1\le i_1 \ne \dots \ne i_k \le n}
f_{i_1 \dots i_k}(X_{i_1}^{(1)},\dots,X_{i_k}^{(k)}) || \ge t) .$$
Furthermore, the reverse inequality also holds in the case that
the functions $\{f_{i_1\dots i_k}\}$\ satisfy the symmetry condition
$$ f_{i_1 \dots i_k}(X_{i_1},\dots,X_{i_k}) =
f_{i_{\pi(1)} \dots i_{\pi(k)}}(X_{i_{\pi(1)}},\dots,X_{i_{\pi(k)}})
$$
for all permutations $\pi$\ of $\{1,\dots,k\}$. Note that
the expression $i_1 \ne \dots \ne i_k$\ means that $i_r \ne i_s$\ for
$r\ne s$. Also, $C_k$\ is a constant that depends only on $k$.
The first paper is an announcement of the result, and includes a proof
in the case that $k=2$.
The second paper gives the full proof of the result.
File length:17K, 26K
From banach-request at math.okstate.edu Wed Sep 29 15:01:56 1993
To: banach-dist at math.okstate.edu
Subject: New address for W. Hensgen
Date: Wed, 29 Sep 93 14:52:38 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 80
X-Lines: 3
Status: RO
Wolfgang Hensgen has a new email address:
hensgen at alf2.ngate.uni-regensburg.de
From banach-request at math.okstate.edu Thu Oct 7 11:37:48 1993
To: banach-dist at math.okstate.edu
Subject: A paper by S.J. Montgomery-Smith
Date: Thu, 7 Oct 93 11:26:34 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 796
X-Lines: 30
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "Comparison of Sums of independent
Identically Distributed Random Variables" by S.J. Montgomery-Smith.
The paper is typed in TeX. The paper may be downloaded from the
bulletin board by ftp to ftp.math.okstate.edu or transmitting the
commands
begin
send montsmithiidrv.tex
end
to: banach-files at math.okstate.edu.
Abstract:
Let S_k be the k-th partial sum of Banach space valued
independent identically distributed random variables.
In this paper, we compare the tail distribution of ||S_k||
with that of ||S_j||, and deduce some tail distribution
maximal inequalities.
Theorem: There is universal constant c such that for j < k
Pr(||S_j|| > t) <= c Pr(||S_k|| > t/c).
File length:19K
From banach-request at math.okstate.edu Fri Oct 8 11:57:49 1993
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by S.J. Montgomery-Smith
Date: Fri, 8 Oct 93 11:45:42 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 800
X-Lines: 28
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "The Fourier Transform on
Rearrangement Invariant Spaces" by S.J. Montgomery-Smith. The paper is
typed in TeX. The paper may be downloaded from the bulletin board by
ftp to ftp.math.okstate.edu or transmitting the commands
begin
send montsmithhdrfyng.tex
end
to: banach-files at math.okstate.edu.
Abstract:We generalize the Hausdorff-Young inequality to rearrangement
invariant spaces, that is, we consider the inequality $||\hat f||_Y \le
c ||f||_X$ where $X$\ and $Y$\ are rearrangement invariant spaces. We
show how to construct the largest possible space $Y$ given $X$ and the
smallest possible space $X$ given $Y$ under certain conditions
pertaining to the Boyd indices.
File length:37K
From banach-request at math.okstate.edu Mon Oct 11 11:43:35 1993
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by B. Randrianantoanina
Date: Mon, 11 Oct 93 11:36:25 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 547
Status: RO
X-Lines: 22
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "Contractive projections in nonatomic
function spaces" by B.Randrianantoanina. The paper is typed in
AMSLATeX.
The paper may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the commands
begin
send randricnprj.ltx
end
to: banach-files at math.okstate.edu.
Abstract:We prove that there is no 1-complemented subspace of finite
codimension in separable rearrangament-invariant function spaces.
File length:13K
From banach-request at math.okstate.edu Mon Oct 11 12:35:52 1993
To: banach-dist at math.okstate.edu
Subject: Conference in 1994
Date: Mon, 11 Oct 93 12:14:13 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1350
X-Lines: 82
Status: RO
%Use LATeX
\documentstyle{report}
\pagestyle{empty}
\begin{document}
\huge
\begin{center}
The Department of Mathematics at
the
University of Missouri-Columbia
\end{center}
\Large
\begin{center}
announces
a
Conference
On the Interaction Between
Functional Analysis,
Harmonic Analysis, and
Probability.
May 30- June 3, 1994
\end{center}
\large
\begin{center}
Supported by The University of Missouri
and the National Science Foundation
The following people have agreed to speak.
\end{center}
\bigskip
\large
\begin{center}
{\bf Earl Berkson (University of Illinois)
Jean Bourgain (I H E S, France)
Don Burkholder (University of Illinois)
Robert Fefferman (University of Chicago)
William B. Johnson (Texas A\&M)
Alexander Pe\l czynski (Polish Academy of Sciences)
Peter Jones (Yale University)
Gilles Pisier (University of Paris/Texas A\&M)
Richard Rochberg (Washington University)
Michel Talagrand (University of Paris/Ohio-State University)
Lior Tzafriri (Hebrew University of Jerusalem)
Guido Weiss (Washington University) }
\end{center}
\large
\vfill
\begin{center}
For Additional Information send an e-mail message to:
conf at esaab.cs.missouri.edu
\end{center}
\end{document}
From banach-request at math.okstate.edu Tue Oct 12 09:26:49 1993
To: banach-dist at math.okstate.edu
Subject: Conference on Function Spaces
Date: Tue, 12 Oct 93 9:19:48 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 6784
Status: RO
X-Lines: 187
SECOND CONFERENCE ON FUNCTION SPACES
May 25-28, 1994
Southern Illinois University at Edwardsville
TENTATIVE LIST OF PARTICIPANTS as of October 1, 1993
J. Arazy University of Haifa, Haifa 31905, Israel
H. Arizmendi Universidad Nacional, Mexico City 04510, D. F., Mexico
R. Aaron Kent State University, Kent, OH 44242, USA
S. Axler Michigan State University, East Lansing, MI 48824, USA
A. Bernard Institut Fourier, Grenoble 1, France
E. Briem University of Iceland, Reykjavik, Iceland
B. Burckel Kansas State University, Manhattan, KS 66506, USA
M. Cambern University of California, Santa Barbara, CA 93106, USA
Cho-Ho Chu University of London, London SE14 6NW, UK
P. Curtis University of California, Los Angeles , CA 90024, USA
J. Diestel Kent State University, Kent, OH 44242, USA
G. Emmanuele Citta' Universitaria, 95125 - Catana, Italy
P. Enflo Kent State University, Kent, OH 44242, USA
J. Feinstein University of Nottingham, Nottingham NG72RD, UK
F. Forelli University of Wisconsin-Madison, Madison, WI 53706, USA
T. W. Gamelin University of California, Los Angeles , CA 90024, USA
P. Gorkin Bucknell University, Lewisburg, PA 17837, USA
S. Grabiner Pomona College, Cleremont, CA 91711, USA
P. Greim The Citadel, Charleston, SC 29409, USA
O. Hatori Tokyo Medical College, Shinjuku-ku, Tokyo 160, Japan
K. Jarosz Southern Illinois University, Edwardsville, IL 62026,
USA
K. B. Laursen Kobenhavns Universites, 2100 Kobenhavns, Denmark
D. Lubinsky University of Witwatersrand, 2050 Johanenesburg, RSA
J. Mendoza Universidad Complutense, Madrid 28040, Spain
M. Neumann Mississippi State University, MS 39762, USA
D. Pathak M.S. University of Baroda, Baroda 390-001, India
A. Pelczynski Polish Academy of Sciences, 00-950 Warsaw, Poland
N. V. Rao University of Toledo, Toledo, OH 43606, USA
T.S.S.R.K. Rao Indian Statistical Institute, Bangalore 560 059, India
R. Rochberg Washington University, St. Louis, MO 63130, USA
W. Rudin University of Wisconsin-Madison, Madison, WI 53706, USA
S. J. Sidney University of Connecticut, Storrs, CT 06268, USA
S. Saccone Brown University, Providence, RI 02912, USA
T. Tonev University of Montana, Missoula, MT 59812, USA
L. Tzafriri Hebrew University of Jerusalem, 91904 Jerusalem, Israel
K. Yale University of Montana, Missoula , MT 59812, USA
J. Wermer Brown University, Providence, RI 02912, USA
W. Werner Universitat-GH-Paderbron, D-33095 Paderborn, Germany
Pei Yuan Wu National Chiao Tung University, Hsinchu, Taiwan
W. Zelazko Polish Academy of Sciences, 00-950 Warsaw, Poland
=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
PROGRAM:
The conference will feature several invited talks on
function algebras, spaces of analytic functions, L^p-spaces,
spaces of vector valued functions, and other topics.
There will also be parallel sessions of contributed talks.
LOCATION:
Southern Illinois University at Edwardsville is located
20 miles North-East from St. Louis on a 2600 wooded acres
outside the town of Edwardsville.
SCHEDULE:
May 24 - registration
May 25-28 - talks
May 29 - a bus will be arranged for participants
joining the Conference
"On Interaction Between Functional Analysis,
Harmonic Analysis, and Probability"
at the University of Missouri-Columbia.
PROCEEDINGS:
We plan to publish proceedings of the conference in a Marcel
Dekker
series Lecture Notes in Pure and Applied Mathematics.
Proceeding of the first Conference on Function Spaces at SIUE
were published in 1992 in the same series, # 136.
DEADLINES and FEES:
Abstracts for contributed talks should be 7.5" wide
by at most 5" inches high. Please E-mail a TEX file or mail
a photo ready copy, as soon as possible, but not later than April 1,
1994.
The registration fee will be $40 through March of 1994,
and $50 thereafter.
ACCOMODATIONS:
Arrangements have been made for participants who wish
to stay on campus. The rates are as follows:
a private bedroom in a two bedroom student's apartment is $19 per
night
and double occupancy (four people per an apartment) is $12.50 per
person,
per night.
Blankets and sheets are provided, no kitchenware.
The number of apartments on campus is limited,
please reserve as early as possible.
More luxurious accomodation is available in several local hotels,
however none of the hotels is located in a walking distance from the
campus.
Send all correspondence to: K. Jarosz
Department of Mathematics & Statistics
Southern Illinois University at
Edwardsville
Edwardsville, Illinois 62026, USA
E-mail: CJ01 at SIUEMUS.BITNET
fax: (618) 692 3174;
tel.: (618) 692 2354
=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
REGISTRATION FORM
SECOND CONFERENCE ON FUNCTION SPACES
May 25-28, 1994
Name:______________________________________________________________________
Address:___________________________________________________________________
___________________________________________________________________________
Electronic Mail:__________________________
Phone:_________________________
I am enclosing a check for ($40 by March 31; $50 later):
$_____________to pay my registration fee. Make checks payable to
SIUE.
I wish to reserve a room on campus for the nights between and
including:
First night:___________________ Last night:_________________________
(Do not send payment for rooms. This is only to reserve rooms.)
Type of accomodation:
Private bedroom in a two bedroom apartment ($19/night):
____________________
Double occupancy
($12.50/night):____________________________________________
Roommate's name:
________________________________________________________
Please assign me a roommate. My gender is male/female. (Circle one)
I do not wish to share an apartment,
I will pay $38/night for a private two bedroom apartment:
_________________
I prefer to stay in a hotel.
Send me a list of local hotels/motels:
___________________________________
I want to give a talk:
YES NO I WILL DECIDE LATER, but before April 1 (Circle
one).
If YES, preferred length of the talk:
_________________________________
Title:________________________________________________________
I enclose an abstract / I will send an abstract by April 1, 1994
(Circle one)
I want to take a bus from SIUE to Columbia-Missouri on May 29
(there will be a nominal charge): _____________________________
=-=-=-=-=-=-=-=-=-=-=-=-==-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
From banach-request at math.okstate.edu Wed Oct 13 08:50:08 1993
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by N. Kalton and D. Werner
Date: Wed, 13 Oct 93 8:45:39 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1330
Status: RO
X-Lines: 35
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "Property $(M)$, $M$-ideals, and
almost isometric structure of Banach spaces" by N. Kalton and D.
Werner. The paper is typed in LATeX. The paper may be downloaded from
the bulletin board by ftp to ftp.math.okstate.edu or transmitting the
commands
begin
send kaltonwernermideal.ltx
end
to: banach-files at math.okstate.edu.
Abstract:We study $M$-ideals of compact operators by means of the
property~$(M)$ introduced in \cite{Kal-M}. Our main result states for a
separable Banach space $X$ that the space of compact operators on $X$
is an $M$-ideal in the space of bounded operators if (and only if) $X$
does not contain a copy of $\ell_{1}$, has the metric compact
approximation property, and has property~$(M)$. The investigation of
special versions of property~$(M)$ leads to results on almost isometric
structure of some classes of Banach spaces. For instance, we give a
simple necessary and sufficient condition for a Banach space to embed
almost isometrically into an $\ell_{p}$-sum of finite-dimensional
spaces resp.\ into $c_{0}$, and for $2<p<\iy$ we prove that a subspace
of $L_{p}$ embeds almost isometrically into $\ell_{p}$ if and only if
it does not contain a subspace isomorphic to $\ell_{2}$.
File length:115K
From banach-request at math.okstate.edu Thu Oct 14 09:22:44 1993
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by P. Mueller
Date: Thu, 14 Oct 93 9:15:55 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1939
X-Lines: 51
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "Two Remarks on Marcinkiewicz
decompositions by Holomorphic Martingales" by Paul F.X. M\"uller. The
paper is typed in AMSLATeX. The paper may be downloaded from the
bulletin board by ftp to ftp.math.okstate.edu or transmitting the
commands
begin
send muellermrcnkwcz.ltx
end
to: banach-files at math.okstate.edu.
Abstract:The real part of $H^\infty(\bT)$ is not dense in
$L^\infty_{\tR}(\bT)$. The John-Nirenberg theorem in combination with
the Helson-Szeg\"o theorem and the Hunt Muckenhaupt Wheeden theorem has
been used to determine whether $f\in L^\infty_{\tR}(\bT)$ can be
approximated by $\Re H^\infty(\bT)$ or not: $\dist(f,\Re H^\infty)=0$
if and only if for every $\e>0$ there exists $\l_0>0$ so that for
$\l>\l_0$ and any interval $I\sbe \bT$. $$|\{x\in I:|\tilde f-(\tilde
f)_I|>\l\}|\le |I|e^{-\l/ \e},$$ where $\tilde f$ denotes the Hilbert
transform of $f$. See [G] p. 259. This result is contrasted by the
following
\begin{theor} Let $f\in L^\infty_{\tR}$ and $\e>0$. Then there is a
function $g\in H^\infty(\bT)$ and a set $E\sb \bT$ so that $|\bT\sm
E|<\e$ and $$f=\Re g\quad\mbox{ on } E.$$ \end{theor}
This theorem is best regarded as a corollary to Men'shov's correction
theorem. For the classical proof of Men'shov's theorem see [Ba, Ch VI
\S 1-\S4].
Simple proofs of Men'shov's theorem -- together with significant
extensions -- have been obtained by S.V. Khruschev in [Kh] and S.V.
Kislyakov in [K1], [K2] and [K3].
In [S] C. Sundberg used $\bar\pa$-techniques (in particular [G,
Theorem VIII.1. gave a proof of Theorem 1 that does not mention
Men'shov's theorem.
The purpose of this paper is to use a Marcinkiewicz decomposition on
Holomorphic Martingales to give another proof of Theorem 1. In this way
we avoid uniformly convergent Fourier series as well as
$\bar\pa$-techniques.
File length:16K
From banach-request at math.okstate.edu Thu Oct 14 10:18:17 1993
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by C. Schutt
Date: Thu, 14 Oct 93 9:49:54 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1993
X-Lines: 62
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "Random polytopes and affine surface
area" by C. Schutt. The paper is typed in AMSTeX. The paper may be
downloaded from the bulletin board by ftp to ftp.math.okstate.edu or
transmitting the commands
begin
send schuttrndmpolytp.atx
end
to: banach-files at math.okstate.edu.
Abstract:Let K be a convex body in $\Bbb R^d$. A random polytope in K
is the convex hull of finitely many points in K that are chosen at
random with respect to a probability measure on K. Here we consider the
normalized Lebesgue measure on K. For a fixed number n of points we
are interested in the expectation of the volume of that part of K that
is not contained in the convex hull $[x_1,....., x_n]$ of the chosen
points. We denote
$$ \Bbb E(K,n)= \int_{K \times \cdots \times K}
vol_d([x_1,...,x_n])d\Bbb P(x_1,...x_n) $$
where $\Bbb P$ is the n-fold product of the normalized Lebesgue measure
on K. We are interested in the asymptotic behavior of
$$ vol_d(K)-\Bbb E(K,n)= \int_{K \times \cdots \times K} vol_d(K
\setminus [x_1,....,x_n]) d\Bbb P(x_1,...,x_n) $$
R\'enyi and Sulanke determined the asymptotic behavior of this
expression for polygons and smooth convex bodies in $\Bbb R^2$. \vskip
1cm
\proclaim{\smc Theorem 1} Let K be a convex body in $\Bbb R^d$. Then we
have
$$ c(d)\lim_{n \to \infty} \frac {vol_d(K)-\Bbb
E(K,n)}{(\frac{vol_d(K)}{n})^{\frac{2}{d+1}}} =\int_{\partial K}
\kappa(x)^{\frac{1}{d+1}}d\mu(x) $$
where $\kappa (x)$ is the generalized Gau\ss-Kronecker curvature and
$$ c(d)=2(\frac{vol_{d-1}(B_2^{d-1})}{d+1})^{\frac {2}{d+1}}
\frac{(d+3)(d+1)!}
{(d^2+d+2)(d^2+1)\Gamma(\frac{d^2+1}{d+1})}
$$
\endproclaim \vskip 1cm
This problem was posed by Schneider and Wieacker . It has been solved
by B\'ar\'any for convex bodies with $C^3$ boundary and everywhere
positive curvature. Our result holds for arbitrary convex bodies.
File length:47K
From banach-request at math.okstate.edu Fri Oct 15 13:21:56 1993
To: banach-dist at math.okstate.edu
Subject: Workshop on Operator Spaces
Date: Fri, 15 Oct 93 13:15:51 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1749
X-Lines: 76
Status: RO
\magnification\magstep1
\baselineskip = 18pt
\def\n{\noindent}
Program of the Workshop on OPERATOR SPACES
to be held in the faculty lounge Milner 317
(in the Math. dept. Texas A\&M U.)
\vskip12pt
Tuesday October 19
\vskip12pt
9.30-10 : Informal registration (Coffee and cookies)
10-11 : David BLECHER: "Operator Spaces and Algebras"
11.30-12.30 : Edward EFFROS:"Mapping
Spaces and Tensor Products".
12.30-14.30 : Lunch (faculty club)
14.15- : Coffee available for participants in Milner 317.
14.30-15.30 : Vern PAULSEN:"Maximal Operator Spaces"
16-17 : Jon KRAUS: "Approximation Properties for Operator Spaces."
\vskip12pt\vskip12pt\vskip12pt
Wednesday October 20
\vskip12pt
9.30-10 : Coffee and cookies available for participants in Milner 317.
10-11 : Florin RADULESCU: "Noncommutative Probability and Number
Theory."
11.30-12.30 : Gilles PISIER:
"Exact Operator Spaces and $B(H)\otimes B(H)$."
12.30-14.30 : Lunch
14.15- : Coffee available for participants in Milner 317.
14.30-15.30 : Huaxin LIN:
"Almost Commuting Selfadjoint
Matrices and Applications".
16-17 : Roger SMITH:
"Complete Boundedness and Cohomology"
\vskip12pt
\vfill\eject
Thursday October 21
\vskip12pt
9.30-10 : Coffee and cookies available for participants in Milner 317.
10-11 : Edward EFFROS: "Discrete Quantum Groups"
11.15-12 : Christian LE MERDY:
"Factorization of $p$-Completely Bounded
Multilinear Maps."
12.15-13 : Marius JUNGE: "Factorizaton of the Operator Spaces lp"
13-14.30 : Lunch
14.15- : Coffee available for participants in Milner 317.
14.30-15.30 : Zhong Jin RUAN: "Operator Amenability of
Completely Contractive Banach Algebras"
16-17 : Iain RAEBURN:
"Twisted Fourier Algebras"
17. End of the Workshop.
\end
From banach-request at math.okstate.edu Tue Oct 26 10:19:37 1993
To: banach-dist at math.okstate.edu
Subject: Abstracts of two papers by M. Ostrovskii
Date: Tue, 26 Oct 93 10:12:34 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1910
X-Lines: 64
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "On complemented subspaces of sums
and products of Banach spaces" by M. Ostrovskii. The paper is typed in
AMSTeX. The paper may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the commands
begin
send ostrovskiicmpsbsp.atx
end
to: banach-files at math.okstate.edu.
Abstract:It is proved that there exist complemented subspaces
of countable topological products (locally convex direct sums)
of Banach spaces which cannot be
represented as topological products (locally convex direct sums)
of Banach spaces. (This is a revised version of the paper by the same
name
formerly contained in the file ostrovskiicompsbsp.atx.)
File length:20K
-----------------------------------------------------
This is the abstract of the paper "Structure of total
subspaces of dual Banach spaces" by M. Ostrovskii.
The paper is typed in AMSTeX. The paper may be downloaded
from the bulletin board by ftp to ftp.math.okstate.edu
or transmitting the commands
begin
send ostrovskiittlsbsp.atx
end
to: banach-files at math.okstate.edu.
Abstract:Let $X$ be a separable nonquasireflexive Banach space.
Let $Y$ be a Banach space isomorphic to a subspace of
$X^*$. The paper is devoted to the following questions:
1. Under what conditions does there exist an isomorphic
embedding $T:Y\to X^*$ such that subspace $T(Y)\subset X^*$
is total?
2. If such embeddings exist, what are the possible orders
of $T(Y)$?
Here we need to recall some definitions. For a subset
$M\subset X^*$ we denote the set of all limits of weak$^*$
convergent sequences in $M$ by $M_{(1)}$. Inductively, for
ordinal number $\alpha$ we let
$$M_{(\alpha)}=\cup_{\beta<\alpha}(M_{(\beta)})_{(1)}.$$
The least ordinal $\alpha$ for which $M_{(\alpha)}=
M_{(\alpha+1)}$ is called the {\it order} of $M$.
File length:27K
From banach-request at math.okstate.edu Mon Nov 1 13:18:07 1993
To: banach-dist at math.okstate.edu
Subject: Conference at U of Missouri
Date: Mon, 1 Nov 93 13:06:23 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 12191
X-Lines: 410
Status: RO
This mailing contains preliminary information about our conference
on
The Interaction Between Functional Analysis, Harmonic Analysis,
and
Probability to be held May 30-June 3, 1994 at the University
of
Missouri, Columbia, Missouri. This is a rather long file, and
we
specifically call your attention to the following sections:
Conference announcement
Travel information
Motel information
Funding information
Conference Proceedings
Registration form
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
The Department of Mathematics at
the
University of Missouri-Columbia
announces
a
Conference
On the Interaction Between
Functional Analysis,
Harmonic Analysis, and
Probability.
May 30- June 3, 1994
Supported by The University of Missouri
and the National Science Foundation
The following people have agreed to speak.
Earl Berkson (University of Illinois)
Jean Bourgain (I H E S, France/University of Illinois)
Don Burkholder (University of Illinois)
Robert Fefferman (University of Chicago)
William B. Johnson (Texas A&M)
Alexander Pelczynski (Polish Academy of Sciences)
Peter Jones (Yale University)
Gilles Pisier (University of Paris/Texas A&M)
Richard Rochberg (Washington University)
Michel Talagrand (University of Paris/Ohio-State University)
Lior Tzafriri (Hebrew University of Jerusalem)
Guido Weiss (Washington University)
For Additional Information send an e-mail message to:
conf at esaab.cs.missouri.edu
To register send the registration form below to:
register at esaab.cs.missouri.edu
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Travel Information
The travel information is provided to help you in making your
travel
plans. You may be able to take advantage of various discounted
air
fares if you make reservations soon, so we would encourage you to
take
action promptly. The material concerning travel and
motel
accommodations should be self-explanatory.
We also ask that you send back your registration form at your
earliest
convenience, so that we can start filling in the schedule of talks.
It
should also be noted that there is an upper limit to the number
of
participants we can accommodate so we may be forced to decline
late
registrations. There will be another mailing nearer the conference
in
which we give a more detailed schedule. If you want to give a 20 or
30
minute talk, your abstract should accompany your registration form.
We
ask that, if possible, you have your abstract prepared in TeX and
that
you send us both a hard copy and an electronic copy. Please try to
keep
your abstract short and to the point, and, in particular, not more
than
one page (a third to a half a page is much preferred). For joint
work,
please indicate the speaker with an asterisk (*). We will prepare
a
list of abstracts in alphabetical order by speaker. These will
be
distributed at registration. Also, there will be a registration fee
of
$40. It would assist the organizers if this is paid in advance;
of
course it is refundable in the event of non-attendance. The fee
is
waived for the main speakers and graduate students. Please make
your
check payable to: The University of Missouri, Dept of
Mathematics.
Other information, about restaurants, use of e-mail, etc., will also
be
provided at registration.
Since this mailing is being sent to two different lists of
e-mail
addresses, it is possible that you will receive multiple copies of
it.
We apologize in advance for this inconvenience.
If you desire further information, please direct your queries to
the
account conf at esaab.cs.missouri.edu. Phone queries should go to
the
Math. Dept. office (314-882-6221). The Dept.'s fax number
is
314-882-1869.
Travelling to and from Columbia, Missouri
We describe here the principal means of access to and from
Columbia.
Details about getting around Columbia will be provided later.
CAR
The main highways through Columbia are Interstate 70 (I-70)
(east-west)
and US Highway 63 (north-south). I-70 runs east-west and connects
to
Kansas City to the west and St. Louis to the east. In particular,
St.
Louis airport (Lambert field) is situated about 18 miles west of
St.
Louis directly on I-70. It is about 110 miles from the airport
to
Columbia. From Kansas City International Airport take I-435 to
I-70:
it is about 150 miles. Columbia airport is 15 miles south of Columbia
on U.S. 63.
AIR
If flying, you can choose between flying to Columbia, St. Louis
and
Kansas City. Columbia airport is served by TWE from St. Louis and
by
Lone Star Airlines from Dallas/Fort Worth. It is about 15-20
miles
south of Columbia. We hope to run vans to pick people up there at
peak
times. There is also Midwest Airport Shuttle (314-874-4048)
which
charges $11 one-way with $1 extra per additional passenger to the
same
destination. Taxis are also available (Checker Cab Co. 449-4191).
Some
motels may also offer shuttle service.
>From St. Louis airport you may rent a car; see driving
instructions
above. Otherwise, there are two choices of public transportation.
Tiger Air Express Limousine service to Columbia (314-443-3544
or
800-333-3026) offers door-to-door service at $40 one-way,
with
departures at approximately one to two-hour intervals. Call to make
a
reservation. (We can make arrangements for overseas participants)
The
final departure from St. Louis is at 9:30 p.m. daily.
The Greyhound bus operates on the following schedule. Call Greyhound
to
make sure that this schedule is still valid.
Lambert Field to Columbia
leave Lambert Field arrive in Columbia
2:40AM 4:40AM
7:50AM 10:05AM
1:50PM 4:20PM
6:40PM 8:45PM
Columbia to Lambert Field
leave Columbia arrive at Lambert Field
2:40AM 4:45AM
10:05AM 12:20PM
4:20PM 6:35PM
Kansas City Airport is somewhat further from Columbia, (about a 3 hour
drive). It is also served by Tiger Air Express on a rather less
frequent schedule. Contact Tiger Air Express for details.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Motel Information
Participants from the US and Canada are asked to make their
own
reservations directly with the hotel or dormitory. Be sure to ask
for
the conference rate (you may need to mention that this is a special
rate
agreed upon with the Math. Dept. for the Analysis Conference).
Please
make your reservation before the release date (listed
below).
Participants from outside North America may contact the
conference
organizers and specify the accommodation required
The Johnston/Wolpers(Dorm) and Campus Inn are within walking distance
to
campus.
NAME COST FOR: RELEASE
LOCATION/PHONE # ROOMS SINGLE DOUBLE DATE
Johnston/Wolpers(Dorm) 400 $23 $28 first come
Corner of Rollins & Hitt first served
University of Missouri
Columbia, MO 65211
(314)882-7211 (Breakfast
included)
Campus Inn 70 $36 $36 5/16/94
1112 Stadium Blvd
Columbia, MO 65201
(314)449-2731
Days Inn 40 $40 $40 5/15/94
1900 I-70 Dr SW
Columbia, MO 65203
(314)445-8511
Holiday Inn 50 $46 $46 5/15/94
1612 N Providence Rd
Columbia, MO 65202
(314)449-2491
Ramada Inn 50 $46 $46 5/7/94
1100 Vandiver Dr
Columbia, MO 65201
(314)449-0051
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Funding Information
The conference will be supported by the National Science Foundation,
and
the University of Missouri. We are in the process of seeking
additional
funds and the final budget situation is not yet clear; we have
applied
for funds to cover at least some local expenses of all participants,
but
we will not know if we can do this for some time. Since we
are
expecting a large attendance, we would like those of you who have
other
sources of support to use these. We particularly hope to fund
graduate
students and recent Ph.D's who have no other sources of funding.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Conference Proceedings
We are planning to publish the Proceedings of the Conference,
probably
in the Contemporary Mathematics series. Papers submitted to
the
Proceedings will be refereed. We hope that of the main speakers
will
contribute to the proceedings. Please let us know on the
registration
form if you would like to submit a paper. The deadline for the
receipt
of the article will be August 1, 1994. Papers should be prepared
in
TeX; more precise details will be forwarded in due course.
Cut all the above and fill below before sending the registration form
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Registration Form
Conference
On the Interaction Between
Functional Analysis,
Harmonic Analysis, and
Probability Theory
May 30- June 3, 1994
Please provide all of the following information which is applicable
to
you. Please use the address below only to send your registration
and
your abstract:
register at esaab.cs.missouri.edu
Please register as soon as possible.
Contributed talks will be scheduled as requests come in so it would
be
advisable to respond without undue delay. We will try to accommodate
all
requests, subject to availability.
Name
____________________________________________________________________
E-mail address
_________________________________________________________
(this is our preferred means of communication)
University Address:
_________________________________________________________
________________________________________________________
________________________________________________________
________________________________________________________
Home Address (if requesting support):
_________________________________________________________
________________________________________________________
________________________________________________________
________________________________________________________
(If requesting funding give your SS#)
Social Security
Number:__________________________________________________
Work Phone __________________________________________________
Home Phone ___________________________________________________
I plan to attend the Analysis Conference. (Yes/No) _________________
I am enclosing my registration fee of $40 ______________
I plan to contribute a talk. (Yes/No) _________________
I plan to submit a paper to the Proceedings (Yes/No) _______
Title
_________________________________________________________________
Abstract:
The deadline to submit an abstract is March 15, 1994.
I request some support (Yes/No) _______________
If yes, please estimate your expenses in US$____________
Check below if appropriate:
________ I am a graduate student or recent Ph.D. in a nonregular
appointment and wish to apply for partial travel support.
Institution and year of Ph.D. (received or expected)
___________________
_________________________________________________________________________
Send this registration form to:
register at esaab.cs.missouri.edu
========================================================================
From banach-request at math.okstate.edu Tue Nov 16 09:36:52 1993
To: banach-dist at math.okstate.edu
Subject: Abstract of lecture notes by R. Phelps
Date: Tue, 16 Nov 93 9:28:41 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 976
X-Lines: 29
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "Lectures on maximal monotone
operators" by R.R. Phelps. The paper is typed in TeX. The paper may be
downloaded from the bulletin board by ftp to ftp.math.okstate.edu or
transmitting the commands
begin
send phelpsmaxmonop.tex
end
to: banach-files at math.okstate.edu.
Abstract:This is a 30 page set of lecture notes, in Plain TeX, which
were
prepared for and presented as a series of lectures (10 1/2 hours over
two weeks) at the 2nd Summer School on Banach Spaces, Related Areas and
Applications in Prague and Paseky, Czech Republic, during August,
1993. They consist of a largely self-contained exposition of both
classical and recent basic facts about maximal monotone operators on
Banach spaces, motivated in part by the goal of highlighting several
fundamental properties of such operators which remain open questions in
nonreflexive Banach spaces.
File length:100K
From banach-request at math.okstate.edu Tue Nov 16 14:01:59 1993
To: banach-dist at math.okstate.edu
Subject: New email address for N. Tomczak
Date: Tue, 16 Nov 93 13:54:34 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 86
X-Lines: 3
Status: RO
Nicole Tomczak-Jaeggermann has a new email address
ntomczak at approx.math.ualberta.ca
From banach-request at math.okstate.edu Wed Nov 17 13:02:03 1993
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by S. Dilworth and A. Koldobsky
Date: Wed, 17 Nov 93 12:36:11 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1702
X-Lines: 48
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "The Fourier transform of order
statistics with applications to Lorentz spaces" by S. J. Dilworth and
A. L. Koldobsky.
The paper is typed in AMSTeX. The paper may be downloaded
from the bulletin board by ftp to ftp.math.okstate.edu
or transmitting the commands
begin
send dilworthkoldobskyft.atx
end
to: banach-files at math.okstate.edu.
Abstract:We present a formula for the Fourier transforms
of order statistics in $\Bbb R^n$ showing that all these Fourier
transforms are equal up to a constant multiple outside the coordinate
planes in
$\Bbb R^n.$
For $a_1\geq ... \geq a_n\ge0$ and $q>0,$ denote by $\ell_{w,q}^n$ the
$n$-dimensional Lorentz space with the norm
$\|(x_1,...,x_n)\| = (a_1 (x_1^{*})^q +...+ a_n (x_n^{*})^q)^{1/q}$,
where $(x_1^{*},...,x_n^{*})$ is the
non-increasing permutation of the numbers
$|x_1|,...,|x_n|.$
We use the above mentioned formula and the Fourier transform criterion
of isometric embeddability of Banach
spaces into $L_q$ \cite{10} to prove that, for $n\geq 3$ and $q\leq 1,$
the space $\ell_{w,q}^n$
is isometric to a subspace of $L_q$ if and only if the numbers
$a_1,...,a_n$ form an arithmetic progression. For $q>1,$ all the
numbers
$a_i$ must be equal so that $\ell_{w,q}^n = \ell_q^n.$
Consequently, the Lorentz function
space $L_{w,q}(0,1)$ is isometric to a subspace of $L_q$ if and only
if {\it either} $0<q<\infty$ and the
weight $w$ is a constant function (so that $L_{w,q}= L_q$),
{\it or} $q\le 1$ and $w(t)$ is a decreasing linear function.
Finally, we relate our results to the
theory of positive definite functions.
File length:37K
From banach-request at math.okstate.edu Wed Nov 17 08:49:05 1993
To: banach-dist at math.okstate.edu
Subject: New address for H. Jarchow
Date: Wed, 17 Nov 93 8:40:07 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 250
Status: RO
X-Lines: 8
New address and e-mail address of Hans Jarchow:
Mathematisches Institut Universitaet Zuerich
Winterthurerstrasse 190
CH 8057 Zuerich Switzerland
e-mail: jarchow at math.unizh.ch
The old e-mail address is still operating but will expire soon.
From banach-request at math.okstate.edu Thu Nov 18 09:22:42 1993
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by M. Junge and G. Pisier
Date: Thu, 18 Nov 93 9:04:14 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1419
X-Lines: 39
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "Bilinear forms on exact operator
spaces and B(H)\otimes B(H)" by M. Junge and G. Pisier. The paper is
typed in TeX. The paper may be downloaded from the bulletin board by
ftp to ftp.math.okstate.edu or transmitting the commands
begin
send jungepisierbilnfrm.tex
end
to: banach-files at math.okstate.edu.
Abstract:Let $E,F$ be exact operators (For example subspaces of the
$C^*$-algebra $K(H)$ of all the compact operators on an infinite
dimensional Hilbert space $H$). We study a class of bounded linear maps
$u\colon E\to F^*$ which we call tracially bounded. In particular, we
prove that every completely bounded (in short $c.b.$) map $u\colon E\to
F^*$ factors boundedly through a Hilbert space. This is used to show
that the set $OS_n$ of all $n$-dimensional operator spaces equipped
with the $c.b.$ version of the Banach Mazur distance is not separable
if $n>2$.
As an application we show that there is more than one $C^*$-norm on
$B(H)\otimes B(H)$, or equivalently that
$$B(H)\otimes_{\min}B(H)\not=B(H)\otimes_{\max}B(H),$$ which answers a
long standing open question.
Finally we show that every ``maximal" operator space (in the sense of
Paulsen) is not exact in the infinite dimensional case, and in the
finite dimensional case, we give a lower bound for the ``exactness
constant".
File length:56K
From banach-request at math.okstate.edu Mon Nov 29 11:49:11 1993
To: banach-dist at math.okstate.edu
Subject: Czech Winter School 1994
Date: Mon, 29 Nov 93 11:41:49 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 2784
X-Lines: 96
Status: RO
% This is an anouncement concerning 22-nd Winter School
% in Abstract Analysis, to be held in January 1994 in Czech republik.
% People who are interested can
% write us for further details.
%
% written in PlainTeX, you can use AMS-TeX as well
\magnification1200
\parindent=10pt
\footline={}
\font\vel=cmb10 scaled \magstep1
\font\small=cmr8
\def\ at {\string at }
\centerline{\vel THE 22-ND WINTER SCHOOL IN ABSTRACT
ANALYSIS}
\centerline{Section Analysis (January 29th - February 5th,
1994)}
\vskip 0.5 cm
Dear colleague,
We have the pleasure to inform you that the 22-nd Winter
School will take place from January 29th to February 5th at
the hotel ``Libu\v se'' in Pod\v ebrady, Czech Republic.
The meeting traditionally provides a good
working and friendly atmosphere. As usual, the main topics
of this session will be functional analysis, measure theory and
geometry of Banach spaces. A series of lectures is promised
by S. Gulko (Tomsk), J. E. Jayne (London) and also with high
probability by E. Behrends (Berlin) and S. Troyanski
(Sofia).
\smallskip
The expenses are the following:
\smallskip
\settabs 2 \columns
\+ Conference fee & 45.- USD ( 20.- USD for participants\cr
\+ & \ \ \ \ \ \ \ \ from developing
countries ) \cr
\+ Accommodation and board & 90.- USD \cr
\+ Bus Praha - Pod\v ebrady and back & 5.- USD\cr
\smallskip
\+ Total & 140,- USD ( 115,- USD , respectively )
\cr
\centerline{\hskip0.1\hsize\hrulefill\hskip0.1\hsize}
Foreign participants are kindly requested to pay at the time
of the registration, at the beginning of the conference.
The bus leaves from Prague on Saturday, January 29, at 14.00 as
usual from Palach square (N\'am\v est\'\i{} Jana Palacha),
Metro station Starom\v estsk\'a on line A. The return is
expected at about 11.00 on Saturday, February 5th, 1994.
{\small\baselineskip=10pt
Pod\v ebrady is a famous spa about 50 km from
Prague. We
negotiated with the spa management the possibility of using
their spa facilities for low prices.
Unfortunately, there are no skiing possibilities in Pod\v
ebrady. There is a possibility to use the local skating
ring (your own skates).
}
In case of interest, please fill in the enclosed
registration form and return it before the end of October.
\hskip 5 cm Looking forward to meet you
\medskip
\rightline{Kamil John}
\settabs 3 \columns
\+ Mailing address:& Kamil John \cr
\+ & Math. Inst. AV\v CR, \cr
\+ & \v Zitn\'a 25 \cr
\+ & 115 67 Praha 1 \cr
\+ & Czech Republic \cr
\smallskip
\+ E-mail: holicky\ at cspguk11.bitnet & \cr
\centerline{\hrulefill}
\centerline{REGISTRATION FORM FOR SECTION
ANALYSIS}
\bigskip
\leftline{Name:}
\leftline{Mailing address:}
\bigskip\bigskip
\leftline{E-mail:}
\medskip
\+ Lecture &- yes; title of lecture:\cr
\+ &- no.\cr
\bye
From banach-request at math.okstate.edu Wed Dec 15 10:08:56 1993
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by S. Argyros
Date: Wed, 15 Dec 93 9:58:30 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 804
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "Weakly Lindelof determined Banach
spaces not containing $\ell^1(N)$" by S. Argyros. The paper is typed
in LATeX. The paper may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the commands
begin
send argyroswklindlf.ltx
end
to: banach-files at math.okstate.edu.
Abstract:The class of countably intersected
families of sets is defined. For any such family we define
a Banach space not containing $\ell^{1}(\NN )$. Thus we
obtain counterexamples to certain questions related to
the heredity problem for W.C.G. Banach spaces. Among them we
give a subspace of a W.C.G. Banach space not containing
$\ell^{1}(\NN )$ and not being itself a W.C.G. space.
File length:57K
From banach-request at math.okstate.edu Wed Dec 15 11:26:40 1993
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by A. Koldobsky
Date: Wed, 15 Dec 93 10:07:01 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1459
X-Lines: 41
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "Isometries of $L_p$-spaces of
solutions of homogeneous partial differential equations" by A.
Koldobsky. The paper is typed in AMSTeX. The paper may be downloaded
from
the bulletin board by ftp to ftp.math.okstate.edu or transmitting the
commands
begin
send koldobskysolpde.atx
end
to: banach-files at math.okstate.edu.
Abstract: Let $ n\geq 2, A=(a_{ij})_{i,j=1}^{n}$ be a real symmetric
matrix, $a=(a_i)_{i=1}^{n}\in \Bbb R^n.$ Consider the differential
operator $D_A = \sum_{i,j=1}^n a_{ij}{\partial^2 \over \partial x_i
\partial x_j}+ \sum_{i=1}^n a_i{\partial \over \partial x_i}.$ Let $E$
be a bounded domain in $\Bbb R^n,$ $p>0.$ Denote by $L_{D_A}^p(E)$ the
space of solutions of the equation $D_A f=0$ in the domain $E$ provided
with the $L_p$-norm.
We prove that, for matrices $A,B,$ vectors $a,b,$ bounded domains
$E,F,$ and every $p>0$ which is not an even integer, the space
$L_{D_A}^p(E)$ is isometric to a subspace of $L_{D_B}^p(F)$ if and only
if the matrices $A$ and $B$ have equal signatures, and the domains $E$
and $F$ coincide up to a natural mapping which in the most cases is
affine.
We use the extension method for $L_p$-isometries which reduces the
problem to the question of which weighted composition operators carry
solutions of the equation $D_A f=0$ in $E$ to solutions of the equation
$D_B f=0$ in $F.$
File length:35K
From banach-request at math.okstate.edu Wed Dec 22 10:59:58 1993
To: banach-dist at math.okstate.edu
Subject: Abstracts of two papers by M. Junge
Date: Wed, 22 Dec 93 10:45:41 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 2625
Status: RO
X-Status:
X-Lines: 77
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper " Cotype and summing properties in
Banach spaces" by M. Junge. The paper is typed in LATeX. The paper may
be
downloaded from the bulletin board by ftp to ftp.math.okstate.edu or
transmitting the commands
begin
send jungecotype_sum.ltx
end
to: banach-files at math.okstate.edu.
Abstract:It is well known in Banach space theory that for a finite
dimensional space $E$ there exists a constant $c_E$, such that for all
sequences $(x_k)_k \subset E$ one has
\[ \summ_k \noo x_k \rrm \kl c_E \pl \sup_{\eps_k \pm 1} \noo \summ_k
\eps_k x_k \rrm \pl .\]
Moreover, if $E$ is of dimension $n$ the constant $c_E$ ranges between
$\sqrt{n}$ and $n$. This implies that absolute convergence and
unconditional
convergence only coincide in finite dimensional spaces. We will
characterize Banach spaces $X$, where the constant $c_E \sim \sqrt{n}$
for all finite dimensional subspaces.
More generally, we prove that an estimate $c_E \kll c
n^{1-\frac{1}{q}}$holds for all $n \in \nz$ and all $n$-dimensional
subspaces $E$ of $X$ if and only
if the eigenvalues of every operator factoring through
$\ell_{\infty}$ decrease of order $k^{-\frac{1}{q}}$ if and only if
$X$ is of weak cotype $q$, introduced by Pisier and Mascioni.
We emphasize that in contrast to Talagrand's equivalence
theorem on cotype $q$ and absolutely $(q,1)$-summing spaces this
extendsto the case $q=2$. If $q>2$ and one of the conditions above is
satisfied
one has
\[ \kla \summ_k \noo x_k \rrm^q \mer^{\frac{1}{q}} \kl C^{1+l}\pl
(1+{\rm log}_2)^{(l)}((1 +{\rm log}_2 n)^{\frac{1}{q}}) \pl \ez \noo
\summ_k \eps_k x_k \rrm \]
for all $n,l \in \nz$ and $(x_k)_k \subset E$, $E$ a $n$ dimensional
subspace of $X$.
In the case $q=2$ the same holds if we replace the expected value by
the supremum.
File length:55K
---------------------------
This is the abstract of the paper "Hyperplane conjecture for quotient
spaces of $L_p$" by M. Junge.
The paper is typed in LATeX. The paper may be downloaded
from the bulletin board by ftp to ftp.math.okstate.edu
or transmitting the commands
begin
send jungehyp.ltx
end
to: banach-files at math.okstate.edu.
Abstract:We give a positive solution for the hyperplane conjecture
of quotient spaces F of $L_p$, where $1<p\kll\infty$.
\[ vol(B_F)^{\frac{n-1}{n}} \kl c_0 \pl p' \pl \sup_{H \p hyperplane}
vol(B_F\cap H) \pl.\]
This result is extended to Banach lattices which does not contain
$\ell_1^n$'s
uniformly. Our main tools are tensor products and minimal volume ratio
with respect to $L_p$-sections.
File length:55K
From banach-request at math.okstate.edu Wed Dec 29 11:12:29 1993
Date: Wed, 29 Dec 1993 11:04:17 -0600 (CST)
From: Alspach Dale <alspach at math.okstate.edu>
Subject: Abstract of a paper by M. Junge
To: banach-dist at math.okstate.edu
MIME-Version: 1.0
Content-Type: TEXT/PLAIN; charset=US-ASCII
Sender: alspach at math.okstate.edu
Content-Length: 1071
Status: RO
X-Status:
X-Lines: 39
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE.>>>>>>>>>>>>>>>>>>>>>
This is the abstract of the paper "Proportional subspaces
of spaces with unconditional basis have good
volume properties " by Marius Junge.
The paper is typed in LATeX. The paper may be downloaded
from the bulletin board by ftp to ftp.math.okstate.edu
or transmitting the commands
begin
send jungevol.ltx
end
to: banach-files at math.okstate.edu.
Abstract:
A generalization of Lozanovskii's result is proved. Let E be
$k$-dimensional
subspace of an $n$-dimensional Banach space with unconditional basis.
Then there exist $x_1,..,x_k \subset E$ such that $B_E \p \subset \p
absconv\{x_1,..,x_k\}$
and
\[
\kla \frac{{\rm vol}(absconv\{x_1,..,x_k\})}{{\rm vol}(B_E)}
\mer^{\frac{1}{k}} \kl \kla
e\p \frac{n}{k} \mer^2 \pl .\]
This answers a question of V. Milman which appeared during a GAFA
seminar talk about the hyperplane
problem. We add logarithmical estimates concerning the hyperplane
conjecture
for proportional subspaces and quotients
of Banach spaces with unconditional basis.
File Length:27K
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