Messages from 2002
These are the messages distributed to the Banach list during 2002.
From alspach Mon Jan 7 16:57:42 2002
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Mon, 7 Jan 2002 16:57:42 -0600
Date: Mon, 7 Jan 2002 16:57:42 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200201072257.g07Mvgk27866 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by George Androulakis and Thomas Schlumprecht
Status: R
This is an announcement for the paper "The Banach space $S$ is
complementably minimal and subsequentially prime" by George Androulakis
and Thomas Schlumprecht.
Abstract: We first include a result of the second author showing that the
Banach space $S$ is complementably minimal. We then show that every block
sequence of the unit vector basis of $S$ has a subsequence which spans
a space isomorphic to its square. By the Pe{\l}czy\'nski decomposition
method it follows that every basic sequence in $S$ which spans a space
complemented in $S$ has a subsequence which spans a space isomorphic to
$S$ (i.e. $S$ is a subsequentially prime space).
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B03, 46B20
Remarks: See also: http://www.math.sc.edu/~giorgis/research.html
The source file(s), scomplminsubseqpr2.tex: 44580 bytes, is(are) stored
in gzipped form as 0112273.gz with size 14kb. The corresponding postcript
file has gzipped size 73kb.
Submitted from: giorgis at math.sc.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0112273
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From alspach Mon Jan 7 16:58:54 2002
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Mon, 7 Jan 2002 16:58:54 -0600
Date: Mon, 7 Jan 2002 16:58:54 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200201072258.g07MwsN27915 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by George Androulakis and Per Enflo
Status: R
This is an announcement for the paper "A property of strictly singular
1-1 operators" by George Androulakis and Per Enflo.
Abstract: We prove that if $T$ is a strictly singular 1-1 operator defined
on an infinite dimensional Banach space $X$, then for every infinite
dimensional subspace $Y$ of $X$ there exists an infinite dimensional
subspace $Z$ of $Y$ such that $Z$ contains orbits of $T$ of every finite
length and the restriction of $T$ on $Z$ is a compact operator.
Archive classification: Functional Analysis
Mathematics Subject Classification: 47B07,46B03
Remarks: See also: http://www.math.sc.edu/~giorgis/research.html
The source file(s), strictlysing.tex: 50161 bytes, is(are) stored in
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file has gzipped size 81kb.
Submitted from: giorgis at math.sc.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0112274
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From alspach Mon Jan 7 16:59:49 2002
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Mon, 7 Jan 2002 16:59:49 -0600
Date: Mon, 7 Jan 2002 16:59:49 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200201072259.g07MxnG27964 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Peter Semrl and Jussi Vaisala
Status: R
This is an announcement for the paper "Nonsurjective nearisometries of
Banach spaces" by Peter Semrl and Jussi Vaisala.
Abstract: We obtain sharp approximation results for into nearisometries
between Lp spaces and nearisometries into a Hilbert space. Our
main theorem is the optimal approximation result for nearsurjective
nearisometries between general Banach spaces.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B04
Remarks: 11 pages
The source file(s), SV.new.tex: 29058 bytes, is(are) stored in gzipped
form as 0112294.gz with size 10kb. The corresponding postcript file has
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Submitted from: jvaisala at cc.helsinki.fi
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From alspach Wed Jan 9 14:08:02 2002
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Wed, 9 Jan 2002 14:08:02 -0600
Date: Wed, 9 Jan 2002 14:08:02 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200201092008.g09K82f27705 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Valentin Ferenczi and Christian Rosendal
Status: R
This is an announcement for the paper "On the number of non isomorphic
subspaces of a Banach space" by Valentin Ferenczi and Christian Rosendal.
Abstract: If a Banach space has an unconditional basis it either contains
a continuum of non isomorphic subspaces or is isomorphic to its square
and hyperplanes and satisfies other regularity properties. An HI Banach
space contains a continuum of non isomorphic subspaces.
Archive classification: Functional Analysis; Logic
The source file(s), christianval0901.tex: 43765 bytes, is(are) stored in
gzipped form as 0201072.gz with size 15kb. The corresponding postcript
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Submitted from: rosendal at ccr.jussieu.fr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0201072
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From alspach Wed Jan 9 14:11:08 2002
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Wed, 9 Jan 2002 14:11:08 -0600
Date: Wed, 9 Jan 2002 14:11:08 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200201092011.g09KB8Q27780 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by S. Mendelson and R. Vershynin
Status: R
This is an announcement for the paper "Entropy, dimension and the
Elton-Pajor Theorem" by S. Mendelson and R. Vershynin.
Abstract: The Vapnik-Chervonenkis dimension of a set K in R^n is the
maximal dimension of the coordinate cube of a given size, which can be
found in coordinate projections of K. We show that the VC dimension of
a convex body governs its entropy. This has a number of consequences,
including the optimal Elton's theorem and a uniform central limit theorem
in the real valued case.
Archive classification: Functional Analysis; Combinatorics
The source file(s), elton.TEX: 57008 bytes, is(are) stored in gzipped
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Submitted from: rvershynin at math.ualberta.ca
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From alspach Mon Jan 14 11:30:00 2002
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Mon, 14 Jan 2002 11:30:00 -0600
Date: Mon, 14 Jan 2002 11:30:00 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200201141730.g0EHU0Q19502 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Jussi Vaisala
Status: R
This is an announcement for the paper "A survey of nearisometries"
by Jussi Vaisala.
Abstract: Let E and F be Banach spaces, let A be a subset of E,
and let s \ge 0. A map f: A -> F is an s-nearisometry if |x-y|-s \le
|fx-fy| \le |x-y|+s for all x,y in A. The article gives a survey on the
stability problem: How well can an s-nearisometry be approximated by a
true isometry? The first result on this problem was given by Hyers and
Ulam in 1945 for surjective nearisometries between Hilbert spaces.
The present article contains an addendum to the published paper, giving
recent results on nearsurjective maps of Banach spaces.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B20
Citation: Papers on Analysis, a volume dedicated to Olli Martio on the
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0201098
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From alspach Fri Jan 18 11:41:31 2002
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Fri, 18 Jan 2002 11:41:31 -0600
Date: Fri, 18 Jan 2002 11:41:31 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200201181741.g0IHfVD23631 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Heiko Berninger and Dirk Werner
Status: R
This is an announcement for the paper "Lipschitz spaces and $M$-ideals"
by Heiko Berninger and Dirk Werner.
Abstract: For a metric space $(K,d)$ the Banach space $\Lip(K)$ consists
of all scalar-valued bounded Lipschitz functions on $K$ with the norm
$\|f\|_{L}=\max(\|f\|_{\infty},L(f))$, where $L(f)$ is the Lipschitz
constant of $f$. The closed subspace $\lip(K)$ of $\Lip(K)$ contains all
elements of $\Lip(K)$ satisfying the $\lip$-condition $\lim_{0<d(x,y)\to
0}|f(x)-f(y)|/d(x,y)=0$. For $K=([0,1],|\,{\cdot}\,|^{\alpha})$,
$0<\alpha<1$, we prove that $\lip(K)$ is a proper $M$-ideal in a certain
subspace of $\Lip(K)$ containing a copy of $\ell^{\infty}$.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B04; 46B20; 46E15
Remarks: Includes 4 figures
The source file(s), exman1.ps: 40137 bytes, exman2.ps: 44432 bytes,
exman3.ps: 48852 bytes, exman4.ps: 47534 bytes, heiko.tex: 67182 bytes,
is(are) stored in gzipped form as 0201144.tar.gz with size 73kb. The
corresponding postcript file has gzipped size 142kb.
Submitted from: werner at math.fu-berlin.de
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0201144
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From alspach at math.okstate.edu Fri Jan 25 13:44:20 2002
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To: banach at mail.math.okstate.edu
Subject: ``General Topology in Banach Spaces''
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Date: Fri, 25 Jan 2002 12:07:01 -0600
From: Dale Alspach <alspach at math.okstate.edu>
Sender: owner-banach at mail.math.okstate.edu
Precedence: bulk
I would like to inform the subscribers of the Banach Space Bulletin
about the
publication of the collection ``General Topology in Banach Spaces''.
There is at least one unfortunate misprint in this book: A. M. Plichko,
who was the second editor
of this book, is not listed as such.
The contents of this book is enclosed.
The ISBN number (for those of you who would like to order it for your
library) is:
1560729783
Sincerely yours
Mikhail Ostrovskii
CONTENTS of the book ``General Topology in Banach Spaces'' (Nova Sci. =
Publ.,
NY, 2001).
A.~Plichko, A.~Zagorodnyuk, Isotropic mappings and automatic
continuity of polynomial, analytic and convex operators, 1--13.
G.A.~Alexandrov, Banach spaces without Kadec-Klee property, 15--20.
M.I.~Ostrovskii, Weak$^*$ sequential closures in Banach space
theory and their applications, 21--34.
M.~L\'opez-Pellicer, A.~Montesinos, Cantor sets in the dual of a
separable Banach space. Applications, 35--59.
M.~Ganichev, V.~Kadets, Filter convergence in Banach spaces and
generalized bases, 61--69.
G.~Godefroy, The Szlenk index and its applications, 71--79.
E.~Matou\v{s}kov\'a, Ch.~Stegall, Compact spaces with a finer
metric topology and Banach spaces, 81--101.
J.~Castillo, Wheeling around Sobczyk's theorem, 103--110.
A.M.~Plichko, Examples of $n$-Sobczyk spaces, 111--113.
O.~Kalenda, Valdivia compacta and biduals of Asplund spaces, 115--125.
S.J.~Dilworth, Denka Kutzarova, S.L.~Troyanski, On some uniform
geometric properties in function spaces, 127--135.
O.V.~Lopushansky, M.I.~Dmytryshyn, Operator calculus on the
exponential type vectors of the operator with point spectrum, 137--145.
V.K.~Maslyuchenko, O.V.~Maslyuchenko, V.V.~Mykhaylyuk,
O.V.~Sobchuk, Paracompactness and separately continuous mappings, =
147--169.
T.~Banakh, Topological recognition of locally convex spaces
carrying the topology of compact convergence, 171--178.
V.~Romanov, Continuous translations of vector measures,179--180.
From alspach at math.okstate.edu Mon Feb 4 09:36:03 2002
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To: banach at mail.math.okstate.edu
Reply-to: johnson at math.tamu.edu
Subject: Programme on Asymptotic Geometric Analysis
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Date: Mon, 04 Feb 2002 07:56:15 -0600
From: Dale Alspach <alspach at math.okstate.edu>
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We call your attention to two conferences within the Thematic Programme on
Asymptotic Geometric Analysis, Pacific Institute of Mathematical Sciences,
to be held at the University of British Columbia in Summer, 2002.
Information about the entire program is on the PIMS web site: URL
http://www.pims.math.ca/science/2002/aga/
Non-commutative Phenomena and Random Matrices
August 6-9
Organizers:
Gilles Pisier, Texas A&M University and Universite Paris VI,
pisier at math.tamu.edu
Stanislaw Szarek, Case Western Reserve University and Universite Paris VI,
szarek at ccr.jussieu.fr
Topics include the distribution of eigenvalues of random matrices,
norms of such matrices, some aspects of free and quantum information
theories, applications in many fields, quantized functional analysis and
operator spaces, non-commutative $L\sb p$ spaces.
Banach Spaces
August 12-15
Organizers:
Bill Johnson, Texas A&M University,
johnson at math.tamu.edu
Ted Odell, University of Texas at Austin,
odell at math.utexas.edu
This conference will focus on the asymptotic theory of Banach
spaces and other applications of local theory to the geometry of infinite
dimensional Banach spaces.
Registration for the Programme is done at the PIMS web site (but the
registration section is currently under construction).
While funding is limited some support is available. The organizers also
hope to obtain additional funding from NSF to support American
researchers, especially students or researchers without grant support.
Requests for support can be directed to the organizers of the conferences.
From alspach Mon Feb 4 10:05:34 2002
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Mon, 4 Feb 2002 10:05:34 -0600
Date: Mon, 4 Feb 2002 10:05:34 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200202041605.g14G5YT04810 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Gilles Pisier and Dimitri Shlyakhtenko
Status: R
This is an announcement for the paper "Grothendieck's Theorem for operator
spaces" by Gilles Pisier and Dimitri Shlyakhtenko.
Abstract: We prove several versions of Grothendieck's Theorem for
completely bounded linear maps $T\colon \ E \to F^*$, when $E$ and
$F$ are operator spaces. We prove that if $E,F$ are $C^*$-algebras,
of which at least one is exact, then every completely bounded $T\colon
\ E \to F^*$ can be factorized through the direct sum of the row and
column Hilbert operator spaces. Equivalently $T$ can be decomposed as
$T=T_r+T_c$ where $T_r$ (resp. $T_c$) factors completely boundedly
through a row (resp. column) Hilbert operator space. This settles
positively (at least partially) some earlier conjectures of Effros-Ruan
and Blecher on the factorization of completely bounded bilinear forms on
$C^*$-algebras. Moreover, our result holds more generally for any pair
$E,F$ of ``exact" operator spaces. This yields a characterization of the
completely bounded maps from a $C^*$-algebra (or from an exact operator
space) to the operator Hilbert space OH. As a corollary we prove that,
up to a complete isomorphism, the row and column Hilbert operator spaces
and their direct sums are the only operator spaces $E$ such that both $E$
and its dual $E^*$ are exact. We also characterize the Schur multipliers
which are completely bounded from the space of compact operators to the
trace class.
Archive classification: Operator Algebras; Functional Analysis
Remarks: More results and an additional section on Schur multipliers
have been included
The source file(s), gtdima.205: 86178 bytes, is(are) stored in gzipped
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Submitted from: gip at ccr.jussieu.fr
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From alspach Mon Feb 4 10:57:17 2002
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Mon, 4 Feb 2002 10:57:16 -0600
Date: Mon, 4 Feb 2002 10:57:16 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200202041657.g14GvGF05256 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by George Androulakis
Status: R
This is an announcement for the paper "A note on the method of minimal
vectors" by George Androulakis.
Abstract: The methods of "minimal vectors" were introduced by Ansari
and Enflo and strengthened by Pearcy, in order to prove the existence
of hyperinvariant subspaces for certain operators on Hilbert space. In
this note we present the method of minimal vectors for operators on
super-reflexive Banach spaces and we give a new sufficient condition
for the existence of hyperinvariant subspaces of certain operators on
these spaces.
Archive classification: Functional Analysis
Mathematics Subject Classification: 47A15, 46B03
Remarks: Also available at http://www.math.sc.edu/~giorgis/research.html
The source file(s), minimalvectors.tex: 28461 bytes, is(are) stored in
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Submitted from: giorgis at math.sc.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0202003
or
http://arXiv.org/abs/math.FA/0202003
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From alspach Wed Feb 13 11:22:41 2002
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Wed, 13 Feb 2002 11:22:41 -0600
Date: Wed, 13 Feb 2002 11:22:41 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200202131722.g1DHMfD01412 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by J Wenzel
Status: R
This is an announcement for the paper "Uniformly convex operators and
martingale type" by J Wenzel.
Abstract: The concept of uniform convexity of a Banach space was
generalized to linear operators between Banach spaces and studied by
Beauzamy [1976]. Under this generalization, a Banach space X is uniformly
convex if and only if its identity map I_X is. Pisier showed that
uniformly convex Banach spaces have martingale type p for some p>1. We
show that this fact is in general not true for linear operators. To remedy
the situation, we introduce the new concept of martingale subtype and
show, that it is equivalent, also in the operator case, to the existence
of an equivalent uniformly convex norm on X. In the case of identity
maps it is also equivalent to having martingale type p for some p>1.
Our main method is to use sequences of ideal norms defined on the
class of
all linear operators and to study the factorization of the finite
summation operators. There is a certain analogy with the theory of
Rademacher type.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B03; 47A30; 46B07
Remarks: 15 pages, to be published in Revista Matematica Iberoamericana
The source file(s), ConvexOperators.RMI.tex: 45787 bytes, is(are) stored
in gzipped form as 0202073.gz with size 13kb. The corresponding postcript
file has gzipped size 70kb.
Submitted from: jwenzel at math.up.ac.za
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0202073
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From alspach Wed Feb 13 11:23:44 2002
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Wed, 13 Feb 2002 11:23:44 -0600
Date: Wed, 13 Feb 2002 11:23:44 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200202131723.g1DHNiM01456 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Aicke Hinrichs and J. Wenzel
Status: R
This is an announcement for the paper "The average distance property of
classical Banach spaces II" by Aicke Hinrichs and J. Wenzel.
Abstract: A Banach space X has the average distance property (ADP) if
there exists a unique real number r such that for each positive integer
n and all x_1,...,x_n in the unit sphere of X there is some x in the
unit sphere of X such that
1/n \sum_{k=1}^n ||x_k-x|| = r.
We show that l_p does not have the average distance property if
p>2. This
completes the study of the ADP for l_p spaces.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B20; 51K99; 52A21
Remarks: 10 pages, to appear in Bull. Austr. Math. Soc
The source file(s), adp.tex: 22065 bytes, is(are) stored in gzipped
form as 0202093.gz with size 7kb. The corresponding postcript file has
gzipped size 46kb.
Submitted from: jwenzel at math.up.ac.za
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0202093
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From alspach Wed Feb 13 11:25:29 2002
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Wed, 13 Feb 2002 11:25:29 -0600
Date: Wed, 13 Feb 2002 11:25:29 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200202131725.g1DHPTv01518 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Youssef Jabri
Status: R
This is an announcement for the paper "Nonsmooth critical point theorems
without compactness" by Youssef Jabri.
Abstract: We establish an abstract critical point theorem for locally
Lipschitz functionals that does not require any compactness condition of
Palais-Smale type. It generalizes and unifies three other critical point
theorems established in [Jabri-Moussaoui] for $C^{1}$-functionals under
slightly stronger assumptions. Our approach uses continuous selections
of multivalued mappings.
Archive classification: Functional Analysis; Analysis of PDEs
Mathematics Subject Classification: 58E05; 54C60; 49J35
The source file(s), Jabri4.tex: 25838 bytes, is(are) stored in gzipped
form as 0202107.gz with size 9kb. The corresponding postcript file has
gzipped size 48kb.
Submitted from: jabri at sciences.univ-oujda.ac.ma
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0202107
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http://arXiv.org/abs/math.FA/0202107
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From alspach Wed Feb 13 11:26:46 2002
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Wed, 13 Feb 2002 11:26:46 -0600
Date: Wed, 13 Feb 2002 11:26:46 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200202131726.g1DHQkG01562 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Youssef Jabri
Status: R
This is an announcement for the paper "A nonsmooth variational approach
to differential problems. A case study of nonresonance under the first
eigenvalue for a strongly nonlinear elliptic problem" by Youssef Jabri.
Abstract: We adapt a technique of nonsmooth critical point theory
developed
by Degiovanni-Zani for a semilinear problem involving the Laplacian
to the the case of the $p$-Laplacian. We suppose only coercivity
conditions on the potential and impose no growth condition of the
nonlinearity. The coercivity is obtained using similar nonresonance
conditions to [Mawhin-Ward-Willem] and to [Landesman-Lazer] in two
different results and using some comparison functions and comparison
spaces in a third one. It is also shown that neither of the three
theorems implies the two others.
Archive classification: Functional Analysis; Analysis of PDEs
Mathematics Subject Classification: 35D05; 58E05; 35A15
The source file(s), Jabri3.tex: 49485 bytes, is(are) stored in gzipped
form as 0202106.gz with size 16kb. The corresponding postcript file has
gzipped size 70kb.
Submitted from: jabri at sciences.univ-oujda.ac.ma
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0202106
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From alspach Wed Feb 27 10:57:10 2002
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Wed, 27 Feb 2002 10:57:09 -0600
Date: Wed, 27 Feb 2002 10:57:09 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200202271657.g1RGv9027147 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Nik Weaver
Status: R
This is an announcement for the paper "Set theory and cyclic vectors"
by Nik Weaver.
Abstract: Let H be a separable, infinite dimensional Hilbert space and
let S be a countable subset of H. Then most positive operators on H have
the property that every nonzero vector in the span of S is cyclic, in
the sense that the set of operators in the positive part of the unit ball
of B(H) with this property is comeager for the strong operator topology.
Suppose \kappa is a regular cardinal such that \kappa \geq \omega_1 and
2^{<\kappa} = \kappa. Then it is relatively consistent with ZFC that
2^\omega = \kappa and for any subset S \subset H of cardinality less
than \kappa the set of positive operators in the unit ball of B(H) for
which every nonzero vector in the span of S is cyclic is comeager for
the strong operator topology.
Archive classification: Functional Analysis; Logic
Mathematics Subject Classification: 03E35, 03E50, 47A15, 47A16
Remarks: 6 pages
The source file(s), cyclic.tex: 16541 bytes, is(are) stored in gzipped
form as 0202265.gz with size 6kb. The corresponding postcript file has
gzipped size 30kb.
Submitted from: nweaver at sulu.wustl.edu
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http://front.math.ucdavis.edu/math.FA/0202265
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From alspach at math.okstate.edu Mon Mar 4 11:11:24 2002
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X-Mailer: exmh version 2.4 06/23/2000 with nmh-1.0.4
To: banach at mail.math.okstate.edu
Subject: Conference Announcement
Mime-Version: 1.0
Content-Type: text/plain; charset=us-ascii
Date: Mon, 04 Mar 2002 10:06:59 -0600
From: Dale Alspach <alspach at math.okstate.edu>
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Precedence: bulk
Geometric and Topological Aspects
of Functional Analysis
19-22 May, 2002
Haifa, Israel
This conference will honor the memory of our friend and colleague Yaki
Sternfeld, who passed away on March 24, 2001, after a long and heroic
struggle. The conference is sponsored by the University of Haifa and the
Center for Mathematical Sciences at the Technion, and will be held on
both campuses during May 19-22, 2002. The conference will deal with
geometric and topological aspects of functional analysis, including
topics related to some (but certainly not all) of Yaki's research
interests (dimension theory, fixed point theory, nonlinear functional
analysis, spaces of continuous functions). Participants will include (as
of January 31, 2002): Dale Alspach, Spiros Argyros, Keith Ball, Marianna
Csornyei, Tadek Dobrowolski, Alexander Dranishnikov, Vladimir Fonf,
Apostolos Giannopoulos, Jim Hagler, William Johnson, Nigel Kalton,
Hermann Koenig, Michael Levin, Joram Lindenstrauss, Alexander Litvak,
Eva Matouskova, Vitali Milman, Niels Nielsen, Edward Odell, Aleksander
Pelczynski, David Preiss, Haskell Rosenthal, Mark Rudelson, Gideon
Schechtman, Thomas Schlumpreccht, Carsten Schuett, Nicole
Tomczak-Jaegerman, Henryk Torunczyk, Elisabeth Werner and Artem
Zvavitch.
Scientific Committee : Yoav Benyamini, Joram Lindenstrauss, Edward
Odell, Aleksander Pelczynski, Shlomo Reisner, Haskell Rosenthal and
Henryk Torunczyk.
Organizing Committee : Jonathan Arazy, Yoav Benyamini, Yehoram Gordon,
Victor Harnik, Simeon Reich and Shlomo Reisner.
For further information :
Sylvia Schur (Secretary)
Department of Mathematics
Technion-Israel Insitutute of Technology
32000 Haifa, Israel
cms at math.technion.ac.il
fax: 972 4 832 4654
phone: 972 4 829 4278
REGISTRATION
The deadline for registration is April 7, 2002. Please make every effort
to mail/email your form in time to ensure that it reaches us before that
date. The conference will commence on the morning of Sunday, May 19,
2002, so participants should reach Haifa by Saturday evening.
From alspach Fri Mar 8 10:30:00 2002
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Fri, 8 Mar 2002 10:30:00 -0600
Date: Fri, 8 Mar 2002 10:30:00 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200203081630.g28GU0P29741 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by M.I. Ostrovskii
Status: R
This is an announcement for the paper "Hahn-Banach operators" by
M.I. Ostrovskii.
Abstract: We consider real spaces only.
Definition. An operator $T:X\to Y$ between Banach spaces $X$ and $Y$ is
called a Hahn-Banach operator if for every isometric embedding of the
space $X$ into a Banach space $Z$ there exists a norm-preserving extension
$\tilde T$ of $T$ to $Z$.
A geometric property of Hahn-Banach operators of finite rank acting
between finite-dimensional normed spaces is found. This property is
used to characterize pairs of finite-dimensional normed spaces $(X,Y)$
such that there exists a Hahn-Banach operator $T:X\to Y$ of rank $k$. The
latter result is a generalization of a recent result due to B.L. Chalmers
and B. Shekhtman.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B20; 47A20
Citation: Proceedings of the American Mathematical Society, Vol. 129
(2001),
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0203055
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From alspach Tue Mar 12 09:40:52 2002
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Tue, 12 Mar 2002 09:40:52 -0600
Date: Tue, 12 Mar 2002 09:40:52 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200203121540.g2CFeqX05291 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by M. I. Ostrovskii
Status: R
This is an announcement for the paper "Projections in normed linear
spaces and sufficient enlargements" by M. I. Ostrovskii.
Abstract: Definition. A symmetric with respect to 0 bounded closed convex
set A in a finite dimensional normed space X is called a sufficient
enlargement for X (or of B(X)) if for arbitrary isometric embedding of
X into a Banach space Y there exists a projection P:Y\to X such that
P(B(Y)) is a subset of A (by B(X) we denote the unit ball).
The notion of sufficient enlargement is implicit in the paper:
B.Grunbaum, Projection constants,
Trans. Amer. Math. Soc. 95 (1960) 451--465. It was
explicilty introduced by the author in: M.I.Ostrovskii, Generalization
of projection constants: sufficient enlargements, Extracta Math., 11
(1996), 466--474.
The main purpose of the present paper is to continue investigation of
sufficient enlargements started in the papers cited above. In particular
the author investigate sufficient enlargements whose support functions
are in some directions close to those of the unit ball of the space,
sufficient enlargements of minimal volume, sufficient enlargements for
euclidean spaces.
Archive classification: Functional Analysis; Metric Geometry
Mathematics Subject Classification: 46B07, 52A21
Citation: Archiv der Mathematik, 71 (1998), 315-324
Remarks: Information on related research can be found on the author's web
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0203085
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http://arXiv.org/abs/math.FA/0203085
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From alspach Wed Mar 20 08:52:47 2002
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Wed, 20 Mar 2002 08:52:47 -0600
Date: Wed, 20 Mar 2002 08:52:47 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200203201452.g2KEqlh18306 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by M. I. Ostrovskii
Status: R
This is an announcement for the paper "Weak* sequential closures in
Banach space theory and their applications" by M. I. Ostrovskii.
Abstract: Let X be a Banach space. Given a subset A of the dual space X*
denote by $A_{(1)}$ the weak* sequential closure of A, i.e., the set of
all limits of weak*-convergent sequences in A. The study of
weak* sequential closures of linear subspaces of the duals of
separable Banach spaces was initiated by S.Banach. The first results
of this study were presented in the appendix to his book "Theorie des
operations lineaires" (1932).
It is natural to suppose that the reason for studying weak* sequential
closures by S. Banach and S. Mazurkiewicz was the lack of acquaintance
of S. Banach and his school with concepts of general topology. Although
the name "General topology" was introduced later, the subject did already
existed. F. Hausdorff introduced topological spaces in his book published
in 1914, Alexandroff-Urysohn (1924) studied compactness, and A.Tychonoff
published his theorem on compactness of products in 1929. Also J.von
Neumann introduced the notion of a weak topology in his paper published
in 1929.
Using the notions of a topological space and the Tychonoff theorem, more
elegant treatment of weak and weak* topologies, and the duality of Banach
spaces was developed by L.Alaoglu, N.Bourbaki and S.Kakutani (1938-1940).
Nevertheless, an "old-fashioned" treatment of S.Banach still attracts
attention. It happens because the "sequential" approach is very useful
in several contexts.
The main purpose of the paper is to describe the history of this
direction of
research and to give an up-to-date (1999) survey of the results on weak*
sequential closures and their applications.
Archive classification: Functional Analysis; General Topology
Mathematics Subject Classification: 46B10, 46B03, 54A20, 47G10
Citation: in: "General Topology in Banach Spaces", ed. by T. Banakh and A.
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0203139
or
http://arXiv.org/abs/math.FA/0203139
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From alspach Wed Mar 20 08:56:37 2002
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Wed, 20 Mar 2002 08:56:37 -0600
Date: Wed, 20 Mar 2002 08:56:37 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200203201456.g2KEubQ18367 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Oleg I. Reinov
Status: R
This is an announcement for the paper "On Banach spaces without the
approximation property" by Oleg I. Reinov.
Abstract: A. Szankowski's example is used to construct a Banach space
similar to that of "An example of an asymptotically Hilbertian space
which fails the approximation property", P.G. Casazza, C.L. Garc\'{\i}a,
W.B. Johnson [math.FA/0006134 (math at arXiv.org)].
(Translation of Russian original.)
Archive classification: Functional Analysis
Citation: Funkts. analiz i ego prilozhen. (1982), v. 16, vyp. 4, p. 84-85
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0203146
or
http://arXiv.org/abs/math.FA/0203146
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From alspach Wed Mar 20 08:58:03 2002
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Wed, 20 Mar 2002 08:58:03 -0600
Date: Wed, 20 Mar 2002 08:58:03 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200203201458.g2KEw3s18411 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by V. NguyenKhac and K. NguyenVan
Status: R
This is an announcement for the paper "A characterization of extremal
sets in Hilbert spaces" by V. NguyenKhac and K. NguyenVan.
Abstract: We give a characterization of extremal sets in Hilbert spaces
that generalizes a classical theorem of H. W. E. Jung. We investigate
also the behaviour of points near to the circumsphere of such a set with
respect to the Kuratowski and Hausdorff measures of non-compactness.
Archive classification: Metric Geometry; Functional Analysis
Mathematics Subject Classification: 46B20, 46E30
Remarks: 10 pages
The source file(s), nkk.tex: 23534 bytes, is(are) stored in gzipped
form as 0203190.gz with size 7kb. The corresponding postcript file has
gzipped size 49kb.
Submitted from: nkviet at thevinh.ncst.ac.vn
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.MG/0203190
or
http://arXiv.org/abs/math.MG/0203190
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From alspach Tue Mar 26 10:20:26 2002
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Tue, 26 Mar 2002 10:20:25 -0600
Date: Tue, 26 Mar 2002 10:20:25 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200203261620.g2QGKPC28344 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Daniel Azagra and Manuel Cepedello Boiso
Status: R
This is an announcement for the paper "Uniform approximation of
continuous mappings by smooth mappings with no critical points on
Hilbert manifolds" by Daniel Azagra and Manuel Cepedello Boiso.
Abstract: We prove that every continuous mapping from a separable
infinite-dimensional Hilbert space $X$ into $\mathbb{R}^{m}$ can
be uniformly approximated by $C^\infty$ smooth mappings {\em with no
critical points}. This kind of result can be regarded as a sort of very
strong approximate version of the Morse-Sard theorem. Some consequences
of the main theorem are as follows. Every two disjoint closed subsets
of $X$ can be separated by a one-codimensional smooth manifold which
is a level set of a smooth function with no critical points; this fact
may be viewed as a nonlinear analogue of the geometrical version of
the Hahn-Banach theorem. In particular, every closed set in $X$ can be
uniformly approximated by open sets whose boundaries are $C^\infty$
smooth one-codimensional submanifolds of $X$. Finally, since every
Hilbert manifold is diffeomorphic to an open subset of the Hilbert space,
all of these results still hold if one replaces the Hilbert space $X$
with any smooth manifold $M$ modelled on $X$.
Archive classification: Differential Geometry; Functional Analysis
Mathematics Subject Classification: 58A05, 58B99, 57R12, 46T05
Remarks: 23 pages, improved version of a previous preprint
The source file(s), ac220302.tex: 77109 bytes, is(are) stored in gzipped
form as 0203237.gz with size 21kb. The corresponding postcript file has
gzipped size 89kb.
Submitted from: daniel at dps0.math.ucl.ac.uk
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.DG/0203237
or
http://arXiv.org/abs/math.DG/0203237
or by email in unzipped form by transmitting an empty message with
subject line
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From alspach Thu Mar 28 17:44:49 2002
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Thu, 28 Mar 2002 17:44:49 -0600
Date: Thu, 28 Mar 2002 17:44:49 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200203282344.g2SNinA07873 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by S. Mendelson and R. Vershynin
Status: R
This is an announcement for the paper "Entropy and the combinatorial
dimension" by S. Mendelson and R. Vershynin.
Abstract: We solve Talagrand's entropy problem: the L_2-covering numbers
of every uniformly bounded class of functions are sub-exponential in
the combinatorial dimension of the class.
Archive classification: Functional Analysis
Remarks: 14 pages
The source file(s), edim.tex: 35515 bytes, is(are) stored in gzipped
form as 0203275.gz with size 12kb. The corresponding postcript file has
gzipped size 57kb.
Submitted from: rvershynin at math.ualberta.ca
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0203275
or
http://arXiv.org/abs/math.FA/0203275
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From alspach Tue Apr 23 09:36:57 2002
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Tue, 23 Apr 2002 09:36:57 -0500
Date: Tue, 23 Apr 2002 09:36:57 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200204231436.g3NEav129521 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Bo\'az Klartag
Status: R
This is an announcement for the paper "5n Minkowski symmetrizations
suffice to arrive at an approximate Euclidean ball" by Bo'az Klartag.
Abstract: This paper proves that for every convex body in R^n there
exist 5n-4 Minkowski symmetrizations, which transform the body into an
approximate Euclidean ball. This result complements the sharp c n log n
upper estimate by J. Bourgain, J. Lindenstrauss and V.D. Milman, of the
number of random Minkowski symmetrizations sufficient for approaching
an approximate Euclidean ball.
Archive classification: Functional Analysis
The source file(s), minkowski_symmetrization.tex: 36659 bytes, is(are)
stored in gzipped form as 0204212.gz with size 11kb. The corresponding
postcript file has gzipped size 61kb.
Submitted from: klartagb at post.tau.ac.il
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0204212
or
http://arXiv.org/abs/math.FA/0204212
or by email in unzipped form by transmitting an empty message with
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From alspach Thu May 9 10:30:10 2002
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Thu, 9 May 2002 10:30:10 -0500
Date: Thu, 9 May 2002 10:30:10 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200205091530.g49FUAM30575 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Beata Randrianantoanina
Status: R
This is an announcement for the paper "Contractive projections in Orlicz
sequence spaces" by Beata Randrianantoanina.
Abstract: We characterize norm one complemented subspaces of Orlicz
sequence spaces $\ell_M$ equipped with either Luxemburg or Orlicz norm,
provided that the Orlicz function $M$ is sufficiently smooth and
sufficiently different from the square function. This paper concentrates
on the more difficult real case, the complex case follows from previously
known results.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B20,46B45,46B04
Remarks: 14 pages
The source file(s), propd.tex: 43813 bytes, is(are) stored in gzipped
form as 0205082.gz with size 14kb. The corresponding postcript file has
gzipped size 63kb.
Submitted from: randrib at muohio.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0205082
or
http://arXiv.org/abs/math.FA/0205082
or by email in unzipped form by transmitting an empty message with
subject line
uget 0205082
or in gzipped form by using subject line
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to: math at arXiv.org.
From alspach at math.okstate.edu Sat May 11 19:30:35 2002
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Reply-to: fremdh at essex.ac.uk
To: banach at mail.math.okstate.edu
Subject: Volume 3 of Measure Theory
Date: Sat, 11 May 2002 16:45:13 -0500
From: Dale Alspach <alspach at math.okstate.edu>
Sender: owner-banach at mail.math.okstate.edu
Precedence: bulk
I am pleased to announce that Volume 3 of my treatise "Measure Theory"
is now available. Chapter headings are
Boolean Algebras
Measure algebras
Maharam's theorem
Liftings
Riesz spaces
Function spaces
Linear operators between function spaces
Automorphism groups
Measurable algebras
For full contents, see http://www.essex.ac.uk/maths/staff/fremlin/mtcont.htm.
For prices and how to buy it, see
http://www.essex.ac.uk/maths/staff/fremlin/mtsales.htm.
David Fremlin
From alspach Sat Jun 8 17:38:46 2002
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Sat, 8 Jun 2002 17:38:46 -0500
Date: Sat, 8 Jun 2002 17:38:46 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200206082238.g58Mcku18545 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by A.R.Alimov
Status: R
This is an announcement for the paper "On strict suns in $\ell^\infty(3)$"
by A.R.Alimov.
Abstract: A subset $M$ of a normed linear space $X$ is said to be a
{\it strict sun\/} if, for every point $x\in X\setminus M$, the set of
its nearest points from~$M$ is non-empty and if $y\in M$ is a nearest
point from~$M$ to ~$x$, then $y$ is a nearest point from~$M$ to all
points from the ray $\{\lambda x+(1- \lambda)y\,|\, \lambda>0\}$. In
the paper there obtained a geometrical characterisation of strict suns
in $\ell^\infty(3)$.
Archive classification: Classical Analysis; Functional Analysis
Mathematics Subject Classification: 41A65
The source file(s), aaa_e3.tex: 19973 bytes, is(are) stored in gzipped
form as 0205280.gz with size 7kb. The corresponding postcript file has
gzipped size 38kb.
Submitted from: alimov at shade.msu.ru
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.CA/0205280
or
http://arXiv.org/abs/math.CA/0205280
or by email in unzipped form by transmitting an empty message with
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From alspach Sat Jun 8 17:39:46 2002
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Sat, 8 Jun 2002 17:39:46 -0500
Date: Sat, 8 Jun 2002 17:39:46 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200206082239.g58MdkX18590 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Eugene Tokarev
Status: R
This is an announcement for the paper "A solution of one J. Bourgain's
problem" by Eugene Tokarev.
Abstract: It is proved that there exists a separable reflexive
Banach space W that contains an isomorphic image of every separable
superreflexive Banach space. This gives the affirmative answer on one
J. Bourgain's question
Archive classification: Functional Analysis
Mathematics Subject Classification: 14B20 (Primary) 46A20, 46B03, 46B07,
46B10 (Secondary)
Remarks: Latex2e, 12 pages
The source file(s), Bourgain.tex: 40773 bytes, is(are) stored in gzipped
form as 0206010.gz with size 12kb. The corresponding postcript file has
gzipped size 58kb.
Submitted from: tokarev at univer.kharkov.ua
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0206010
or
http://arXiv.org/abs/math.FA/0206010
or by email in unzipped form by transmitting an empty message with
subject line
uget 0206010
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to: math at arXiv.org.
From alspach Sat Jun 8 17:41:51 2002
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Sat, 8 Jun 2002 17:41:51 -0500
Date: Sat, 8 Jun 2002 17:41:51 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200206082241.g58Mfpn18651 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Eugene Tokarev
Status: R
This is an announcement for the paper "A solution of one problem
of Lindenstrauss and Rosenthal on subspace homogeneous and quotient
homogeneous Banach spaces with application to the approximation problem
and to the Schroeder - Bernstein problem" by Eugene Tokarev.
Abstract: In article is constructed a wide couple of pairwice
non-isomorphic separable superreflexive Banach spaces E that are
subspace homogeneous. Their conjugates are quotient homogeneous. None
of this couple neither isomorphic to its Cartesian square nor has the
approximation property. At the same time, any such E is isomorphic
to E+ E+ W for some Banach space W and, hence, solves the Schroeder -
Bernstein problem.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B10 (Primary) 46A20, 46B07, 46B20,
46B28 (Secondary)
Remarks: Latex2e
The source file(s), qclasses.tex: 57299 bytes, is(are) stored in gzipped
form as 0206013.gz with size 16kb. The corresponding postcript file has
gzipped size 72kb.
Submitted from: tokarev at univer.kharkov.ua
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0206013
or
http://arXiv.org/abs/math.FA/0206013
or by email in unzipped form by transmitting an empty message with
subject line
uget 0206013
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From alspach Wed Jun 12 08:14:13 2002
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Wed, 12 Jun 2002 08:14:13 -0500
Date: Wed, 12 Jun 2002 08:14:13 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200206121314.g5CDEDL30329 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Eugene Tokarev
Status: R
This is an announcement for the paper "On Banach spaces of large density
character and unconditional sequences" by Eugene Tokarev.
Abstract: It is shown that any Banach space X of sufficiently large
density contains an (infinite) unconditional sequence and a separable
quotient. If a density of X is a weakly compact cardinal, then X contains
an unconditional sequence of cardinality that is equal to the density of X
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B26 (Primary) 46B03, 46B04, 46B07,
46B20 03C65, 03C75 (Secondary)
Remarks: Latex2e
The source file(s), largecard.tex: 55404 bytes, is(are) stored in gzipped
form as 0206106.gz with size 15kb. The corresponding postcript file has
gzipped size 68kb.
Submitted from: tokarev at univer.kharkov.ua
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0206106
or
http://arXiv.org/abs/math.FA/0206106
or by email in unzipped form by transmitting an empty message with
subject line
uget 0206106
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From alspach Wed Jun 12 08:16:30 2002
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Wed, 12 Jun 2002 08:16:30 -0500
Date: Wed, 12 Jun 2002 08:16:30 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200206121316.g5CDGUo30390 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Eugene Tokarev
Status: R
This is an announcement for the paper "On sub B-convex Banach spaces"
by Eugene Tokarev.
Abstract: In the article is introduced a new class of Banach spaces
that are called sub B-convex. Namely, a Banach space X is said to be
sub B-convex if it may be represented as a direct sum l_1+ W, where W is
B-convex. It will be shown that any separable sub B-convex Banach space
X may be almost isometrically embedded in a separable Banach space G(X)
of the same cotype as X, which has a series of properties. Namely, G(X)
is an approximate envelope, i.e. any separable Banach space which is
finitely representable in G(X) may be almost isometrically embedded into
G(X); G(X)is almost isotropic; G(X) is existentially closed in a class
of all spaces that are finitely equivalent to it; the conjugate space to
G(X) is of cotype 2; every operator from its conjugate into the Hilbert
space is absolutely summing; every projection P in G(X) of finite rank
has a norm that infinitely growth with the dimension of its range. If,
in addition, X is of cotype 2, then G(X) has more impressive properties:
every operator from G(X) into the Hilbert space is absolutely summing; the
injective and projective tensor products of G(X) by itself are identical.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B20 (Primary) Secondary 46A32,
46B07, 46B10, 46B25, 46D28
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0206107
or
http://arXiv.org/abs/math.FA/0206107
or by email in unzipped form by transmitting an empty message with
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uget 0206107
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to: math at arXiv.org.
From alspach Wed Jun 12 08:18:33 2002
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Wed, 12 Jun 2002 08:18:33 -0500
Date: Wed, 12 Jun 2002 08:18:33 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200206121318.g5CDIXY30434 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Eugene Tokarev
Status: R
This is an announcement for the paper "An example of a Banach space with
a subsymmetric basis, which has the hereditarily approximation property"
by Eugene Tokarev.
Abstract: W.B. Johnson has constructed a series of Banach spaces non
isomorphic to the Hilbert one that have the hereditarily approximation
property (shortly hereditarily AP): all their subspaces also have the
AP. All these examples were ''sufficiently'' non-symmetric and this fact
allows Johnson to ask: whether there exists any Banach space $X$ with
symmetric (or, at least, subsymmetric) basis, distinct from the Hilbert
space such that each its subspace has the AP? In this paper is shown
that there is a Banach space with a subsymmetric basis (non-equivalent
to any symmetric one), which enjoys the hereditarily AP.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B28 (Primary) 46B07, 46B08, 46B20,
46B45 (Secondary)
Remarks: Latex2e
The source file(s), johnsos.tex: 39229 bytes, is(are) stored in gzipped
form as 0206108.gz with size 11kb. The corresponding postcript file has
gzipped size 56kb.
Submitted from: tokarev at univer.kharkov.ua
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0206108
or
http://arXiv.org/abs/math.FA/0206108
or by email in unzipped form by transmitting an empty message with
subject line
uget 0206108
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to: math at arXiv.org.
From alspach Wed Jun 12 08:20:20 2002
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Wed, 12 Jun 2002 08:20:20 -0500
Date: Wed, 12 Jun 2002 08:20:20 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200206121320.g5CDKKa30495 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Eugene Tokarev
Status: R
This is an announcement for the paper "On P. Levy's stable laws and
reflexive subspaces of the Banach space L of Lebesgue summable functions
on [0,1]" by Eugene Tokarev.
Abstract: To describe a set of functions, which forms a reflexive
subspace B of the classical Banach space L a special function that
characterizes their average integral growth is introduced. It is shown
that this function essentially depends on the geometry of B. By the way,
one question of la Vallee Poussin is answered. Also a short proof of
the known result about the existence of an uncomplemented subspace
isomorphic to the Hilbert space in every Lebesgue - Riesz space Lp
(1<p<2) is obtained.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B09, 46B25 (Primary) 46E30, 46B20
(Secondary)
Remarks: Latex2e
The source file(s), levylaw.tex: 35129 bytes, is(are) stored in gzipped
form as 0206109.gz with size 10kb. The corresponding postcript file has
gzipped size 54kb.
Submitted from: tokarev at univer.kharkov.ua
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0206109
or
http://arXiv.org/abs/math.FA/0206109
or by email in unzipped form by transmitting an empty message with
subject line
uget 0206109
or in gzipped form by using subject line
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to: math at arXiv.org.
From alspach Wed Jun 12 08:26:07 2002
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Wed, 12 Jun 2002 08:26:07 -0500
Date: Wed, 12 Jun 2002 08:26:07 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200206121326.g5CDQ7k30556 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Eugene Tokarev
Status: R
This is an announcement for the paper "On the Banach problem on
surjections" by Eugene Tokarev.
Abstract: Is shown that any separable superreflexive Banach space X may be
isometrically embedded in a separable superreflexive Banach space Z=Z(X)
(which, in addition, is of the same type and cotype as X) such that
its conjugate admits a continuous surjection on each its subspace. This
gives an affirmative answer on S. Banach problem: Whether there exists
a Banach space X, non isomorphic to a Hilbert space, which admits a
continuous linear surjection on each its subspace and is essentially
different from l_1?
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B10 (Primary) 46A20, 46B07, 46B20
(Secondary)
Remarks: Latex2e
The source file(s), surjections.tex: 49818 bytes, is(are) stored in
gzipped form as 0206110.gz with size 13kb. The corresponding postcript
file has gzipped size 65kb.
Submitted from: tokarev at univer.kharkov.ua
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0206110
or
http://arXiv.org/abs/math.FA/0206110
or by email in unzipped form by transmitting an empty message with
subject line
uget 0206110
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to: math at arXiv.org.
From alspach Wed Jun 12 08:27:12 2002
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Wed, 12 Jun 2002 08:27:12 -0500
Date: Wed, 12 Jun 2002 08:27:12 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200206121327.g5CDRCL30600 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Eugene Tokarev
Status: R
This is an announcement for the paper "On the embedding of nonseparable
space lp in Banach spaces with uncountable symmetric bases" by Eugene
Tokarev.
Abstract: It is shown that if a nonseparable space lp is isomorphic to
a subspace of a Banach space X with an uncountable symmetric basis then
X is also isomorphic to some lp.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B25 (Primary) 46B15, 46B20, 46B26,
46B45 (Secondary)
Remarks: Latex2e
The source file(s), nonseplp.tex: 14084 bytes, is(are) stored in gzipped
form as 0206111.gz with size 5kb. The corresponding postcript file has
gzipped size 33kb.
Submitted from: tokarev at univer.kharkov.ua
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0206111
or
http://arXiv.org/abs/math.FA/0206111
or by email in unzipped form by transmitting an empty message with
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uget 0206111
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From alspach Wed Jun 12 08:27:49 2002
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Wed, 12 Jun 2002 08:27:49 -0500
Date: Wed, 12 Jun 2002 08:27:49 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200206121327.g5CDRnd30645 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Eugene Tokarev
Status: R
This is an announcement for the paper "On factorization of operators
between Banach spaces" by Eugene Tokarev.
Abstract: A finite-dimensional analogue of the known Gordon-Lewis constant
of a Banach space X is introduced; in its definition are used only finite
rank operators. It is shown that there exist Banach spaces such that the
standard Gordon-Lewis constant of X is finite and its finite-dimensional
analogue GLfin(X) is infinite. Moreover, for any Banach space X of cotype
2 its finite-dimensional constant GLfin(X) is finite too.
Archive classification: Functional Analysis
Mathematics Subject Classification: 47A68, 47B10 (Primary) 46B07, 46B20
(Secondary)
Remarks: Latex2e
The source file(s), fun.tex: 13653 bytes, is(are) stored in gzipped
form as 0206112.gz with size 5kb. The corresponding postcript file has
gzipped size 33kb.
Submitted from: tokarev at univer.kharkov.ua
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0206112
or
http://arXiv.org/abs/math.FA/0206112
or by email in unzipped form by transmitting an empty message with
subject line
uget 0206112
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From alspach Wed Jun 19 09:14:08 2002
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Wed, 19 Jun 2002 09:14:08 -0500
Date: Wed, 19 Jun 2002 09:14:08 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200206191414.g5JEE8P22944 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Eugene Tokarev
Status: R
This is an announcement for the paper "On Banach spaces with the Tsirelson
property" by Eugene Tokarev.
Abstract: A Banach space X is said to have the Tsirelson property if it
does not contain subspaces that are isomorphic to l_{p}, p in [1,infty )
or c_{0}. The article contains a quite simple method to producing Banach
spaces with the Tsirelson property.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B20 (Primary) 46B25 (Secondary)
Remarks: Latex2e
The source file(s), tsirelson.tex: 71159 bytes, is(are) stored in gzipped
form as 0206181.gz with size 19kb. The corresponding postcript file has
gzipped size 81kb.
Submitted from: tokarev at univer.kharkov.ua
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0206181
or
http://arXiv.org/abs/math.FA/0206181
or by email in unzipped form by transmitting an empty message with
subject line
uget 0206181
or in gzipped form by using subject line
get 0206181
to: math at arXiv.org.
From alspach Wed Jun 19 09:16:13 2002
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Wed, 19 Jun 2002 09:16:13 -0500
Date: Wed, 19 Jun 2002 09:16:13 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200206191416.g5JEGDg23005 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Eugene Tokarev
Status: R
This is an announcement for the paper "The amalgamation property in
classical Lebesgue-Riesz spaces and Banach spaces with transitive and
almost transitive norms" by Eugene Tokarev.
Abstract: In the article is shown that classes of finite equivalence
that are generated by Lebesgue-Riesz spaces Lp have the amalgamation
property if and only if p is not equal to an even natural number that
is strongly large then 2.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B20 (Primary) 46A20, 46B03, 46B07
(Secondary)
Remarks: Latex2e
The source file(s), amalgamation.tex: 74839 bytes, is(are) stored in
gzipped form as 0206182.gz with size 20kb. The corresponding postcript
file has gzipped size 83kb.
Submitted from: tokarev at univer.kharkov.ua
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0206182
or
http://arXiv.org/abs/math.FA/0206182
or by email in unzipped form by transmitting an empty message with
subject line
uget 0206182
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get 0206182
to: math at arXiv.org.
From alspach Wed Jun 19 09:17:53 2002
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Wed, 19 Jun 2002 09:17:53 -0500
Date: Wed, 19 Jun 2002 09:17:53 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200206191417.g5JEHre23049 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Eugene Tokarev
Status: R
This is an announcement for the paper "On properties of symmetric Banach
function spaces and Peetre's interpolation spaces" by Eugene Tokarev.
Abstract: A set of all symmetric Banach function spaces defined on
[0,1] is equipped with the partial order by the relation of continuous
inclusion. Properties of symmetric spaces, which do not depend of
their position in the ordered structure, are studied. With the help of
the J. Peetre's interpolation scheme it is shown that for any pair of
symmetric spaces E, F such that F is absolutely continuously included
in E there exists an intermediate (so called, Peetre's) space K(E,F;W),
where W is a space with an unconditional basis, that is reflexive or,
respectively, weakly sequentially complete provided W also is reflexive
or, respectively, weakly sequentially complete.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46E30, 46B70 (Primary) 46B10, 46B20
(Secondary)
Remarks: Latex2e
The source file(s), peetre.tex: 16941 bytes, is(are) stored in gzipped
form as 0206183.gz with size 6kb. The corresponding postcript file has
gzipped size 36kb.
Submitted from: tokarev at univer.kharkov.ua
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0206183
or
http://arXiv.org/abs/math.FA/0206183
or by email in unzipped form by transmitting an empty message with
subject line
uget 0206183
or in gzipped form by using subject line
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to: math at arXiv.org.
From alspach at math.okstate.edu Wed Jun 26 08:39:59 2002
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Reply-to: Bill Johnson <johnson at math.tamu.edu>
To: banach at mail.math.okstate.edu
Subject: SUMIRFAS announcement
MIME-Version: 1.0
Content-Type: TEXT/PLAIN; charset=US-ASCII
Date: Tue, 25 Jun 2002 20:11:48 -0500
From: Dale Alspach <alspach at math.okstate.edu>
Sender: owner-banach at mail.math.okstate.edu
Precedence: bulk
ANNOUNCEMENT OF SUMIRFAS 2002
The
Informal Regional Functional Analysis Seminar
July 12-14
Texas A&M University, College Station
Schedule: Talks for SUMIRFAS will be posted on the Workshop in
Linear Analysis and Probability page, URL
http://www.math.tamu.edu/research/workshops/linanalysis/
Below is a list of speakers, current as of June 24.
The Home Page also contains other information about the Workshop,
including a list of participants and a schedule of seminars. David Larson
is organizing a Concentration Week on "Frames, Wavelets and Operator
Theory" July 15 - 19. Contact him if you are interested in participating.
Housing: Contact Cheryl Dorn, (cherylr at math.tamu.edu; 979/845-2915,
office; 979/ 845-6028, fax) for help with housing. Please tell Cheryl the
type of accommodation you desire (smoking or nonsmoking), which night(s)
you need the room, and give her a roommate preference, if applicable.
We expect to be able to cover housing, possibly in a double room, for most
participants, from support the National Science Foundation has provided
for
the Workshop. Preference will be given to participants who do not have
other
sources of support, such as sponsored research grants. When you ask Cheryl
to book your room, please tell her if you are requesting support.
Dinner: There will be a dinner at 6:30 p.m. on Saturday, July 13, at
Imperial Chinese Restaurant, 2232 S. Texas Ave. in College Station. The
cost for the subsidized dinner is $15 per person for faculty and $10 per
person for students. Please tell Cheryl Dorn if you (and spouse or
companion, if applicable) will attend. Checks should be made out to Math.
Dept., TAMU.
** DINNER RESERVATIONS SHOULD BE MADE BY July 10
and PAYMENT MADE BY July 12. **
W. Johnson, johnson at math.tamu.edu
D. Larson, larson at math.tamu.edu
G. Pisier,pisier at math.tamu.edu
J. Zinn, jzinn at math.tamu.edu
SUMIRFAS talks (as of June 24)
David Blecher, University of Houston
Recent contributions to the general theory of operator algebras
Ron Douglas, Texas A&M University
Resolutions of Hilbert modules
Ken Dykema, Texas A&M University
DT-operators
Xiang Fang, Texas A&M University
Marius Junge, University of Illinois
Why the 'little Grothendieck inequality' fails for operator spaces
Palle Jorgensen, University of Iowa
Some themes from operator theory, harmonic analysis, and
probability,-- which have their origin in wavelet analysis
Ted Odell, University of Texas
Gestur Olafsson, Louisiana State University
Some generalizations of the Segal-Bargmann Transform
Eric Ricard, Universite Paris VI
Eric Weber, Texas A&M University
Nahum Zobin, William and Mary
------- End of Forwarded Message
From alspach Thu Aug 1 19:50:48 2002
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Thu, 1 Aug 2002 19:50:48 -0500
Date: Thu, 1 Aug 2002 19:50:48 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200208020050.g720om804638 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Viet NguyenKhac and Khiem NguyenVan
Status: R
This is an announcement for the paper "A geometric characterization of
extremal sets in $\ell_p$ spaces" by Viet NguyenKhac and Khiem NguyenVan.
Abstract: We give a geometric characterization of extremal sets in
$\ell_p$ spaces that generalizes our previous result for such sets in
Hilbert spaces.
Archive classification: Metric Geometry; Functional Analysis
Mathematics Subject Classification: 46B20, 46E30
Remarks: 14 pages
The source file(s), extremal2.tex: 31389 bytes, is(are) stored in gzipped
form as 0207304.gz with size 9kb. The corresponding postcript file has
gzipped size 57kb.
Submitted from: nkviet at thevinh.ncst.ac.vn
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.MG/0207304
or
http://arXiv.org/abs/math.MG/0207304
or by email in unzipped form by transmitting an empty message with
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From alspach Fri Aug 9 11:23:14 2002
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Fri, 9 Aug 2002 11:23:14 -0500
Date: Fri, 9 Aug 2002 11:23:14 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200208091623.g79GNE208588 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Th. Schlumprecht
Status: R
This is an announcement for the paper "How many operators do there exist
on a Banach space?" by Th. Schlumprecht.
Abstract: We present partial results to the following question:
Does every infinite dimensional Banach space have an infinite dimensional
subspace on which one can define an operator which is not a compact
perturbation of a scalar multiplication?
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B03, 46B20
The source file(s), oponbs.tex: 141743 bytes, is(are) stored in gzipped
form as 0208055.gz with size 39kb. The corresponding postcript file has
gzipped size 163kb.
Submitted from: schlump at math.tamu.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0208055
or
http://arXiv.org/abs/math.FA/0208055
or by email in unzipped form by transmitting an empty message with
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From alspach Mon Aug 26 21:33:32 2002
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Mon, 26 Aug 2002 21:33:32 -0500
Date: Mon, 26 Aug 2002 21:33:32 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200208270233.g7R2XWJ29222 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Daniel Azagra and Alejandro Montesinos
Status: R
This is an announcement for the paper "On diffeomorphisms deleting weakly
compacta in Banach spaces" by Daniel Azagra and Alejandro Montesinos.
Abstract: We prove that if X is an infinite-dimensional Banach space with
C^p smooth partitions of unity, then X and X\K are C^p diffeomorphic,
for every weakly compact subset K of X.
Archive classification: Functional Analysis; Differential Geometry
Mathematics Subject Classification: 46B20; 57R50
Remarks: 18 pages
The source file(s), azamonte.tex: 62820 bytes, is(are) stored in gzipped
form as 0208160.gz with size 18kb. The corresponding postcript file has
gzipped size 75kb.
Submitted from: daniel_azagra at mat.ucm.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0208160
or
http://arXiv.org/abs/math.FA/0208160
or by email in unzipped form by transmitting an empty message with
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uget 0208160
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From alspach Mon Aug 26 21:37:45 2002
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Mon, 26 Aug 2002 21:37:45 -0500
Date: Mon, 26 Aug 2002 21:37:45 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200208270237.g7R2bjO29494 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by S. J. Dilworth and Vladimir G. Troitsky
Status: R
This is an announcement for the paper "Spectrum of a weakly hypercyclic
operator meets the unit circle" by S. J. Dilworth and Vladimir
G. Troitsky.
Abstract: It is shown that every component of the spectrum of a weakly
hypercyclic operator meets the unit circle. The proof is based on the
lemma that a sequence of vectors in a Banach space whose norms grow at
geometrical rate doesn't have zero in its weak closure.
Archive classification: Functional Analysis
Mathematics Subject Classification: 47A16; 47A10; 47A25
Remarks: 3 pages, to appear in Proceedings of the Conference "Trends
in Banach
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0208193
or
http://arXiv.org/abs/math.FA/0208193
or by email in unzipped form by transmitting an empty message with
subject line
uget 0208193
or in gzipped form by using subject line
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to: math at arXiv.org.
From alspach at math.okstate.edu Tue Aug 27 07:15:25 2002
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Message-Id: <200208271157.g7RBvvB04166 at ms417l.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by S. J. Dilworth and Vladimir G. Troitsky
Approved: eladrd
Date: Tue, 27 Aug 2002 06:57:57 -0500
From: Dale Alspach <alspach at math.okstate.edu>
Status: R
This is an announcement for the paper "Spectrum of a weakly hypercyclic
operator meets the unit circle" by S. J. Dilworth and Vladimir
G. Troitsky.
Abstract: It is shown that every component of the spectrum of a weakly
hypercyclic operator meets the unit circle. The proof is based on the
lemma that a sequence of vectors in a Banach space whose norms grow at
geometrical rate doesn't have zero in its weak closure.
Archive classification: Functional Analysis
Mathematics Subject Classification: 47A16; 47A10; 47A25
Remarks: 3 pages, to appear in Proceedings of the Conference "Trends
in Banach
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0208193
or
http://arXiv.org/abs/math.FA/0208193
or by email in unzipped form by transmitting an empty message with
subject line
uget 0208193
or in gzipped form by using subject line
get 0208193
to: math at arXiv.org.
From alspach Thu Sep 5 07:15:34 2002
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by www.math.okstate.edu (8.11.2/8.8.7) id g85CFYr03546;
Thu, 5 Sep 2002 07:15:34 -0500
Date: Thu, 5 Sep 2002 07:15:34 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200209051215.g85CFYr03546 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Paul Beneker and Jan Wiegerinck
Status: R
This is an announcement for the paper "Strongly exposed points in the
ball of the Bergman space" by Paul Beneker and Jan Wiegerinck.
Abstract: We investigate which boundary points in the closed unit ball of
the Bergman space of integrable holomorphic functions on the unit disc
are strongly exposed. This requires study of the Bergman projection and
its kernel, the annihilator of Bergman space. We show that all polynomials
in the boundary of the unit ball are strongly exposed.
Archive classification: Complex Variables; Functional Analysis
Mathematics Subject Classification: 30A78; 46E15
Remarks: 15 pages
The source file(s), bergman.tex: 47549 bytes, is(are) stored in gzipped
form as 0208234.gz with size 15kb. The corresponding postcript file has
gzipped size 71kb.
Submitted from: janwieg at science.uva.nl
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.CV/0208234
or
http://arXiv.org/abs/math.CV/0208234
or by email in unzipped form by transmitting an empty message with
subject line
uget 0208234
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From alspach Thu Sep 5 07:18:06 2002
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by www.math.okstate.edu (8.11.2/8.8.7) id g85CI6003599;
Thu, 5 Sep 2002 07:18:06 -0500
Date: Thu, 5 Sep 2002 07:18:06 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200209051218.g85CI6003599 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Gilles Pisier
Status: R
This is an announcement for the paper "The operator Hilbert space $OH$
and type III von Neumann algebras" by Gilles Pisier.
Abstract: We prove that the operator Hilbert space $OH$ does not embed
completely isomorphically into the predual of a semi-finite von~Neumann
algebra. This complements Junge's recent result that it admits such an
embedding in the non semi-finite case.
Archive classification: Operator Algebras; Algebraic Topology; Functional
Analysis
Mathematics Subject Classification: 46L50
The source file(s), OH3: 11437 bytes, is(are) stored in gzipped form as
0209019.gz with size 5kb. The corresponding postcript file has gzipped
size 26kb.
Submitted from: gip at ccr.jussieu.fr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.OA/0209019
or
http://arXiv.org/abs/math.OA/0209019
or by email in unzipped form by transmitting an empty message with
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uget 0209019
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to: math at arXiv.org.
From alspach Tue Sep 24 07:34:12 2002
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Tue, 24 Sep 2002 07:34:12 -0500
Date: Tue, 24 Sep 2002 07:34:12 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200209241234.g8OCYC603088 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Marius Junge
Status: R
This is an announcement for the paper "The optimal order for the p-th
moment of sums of independent random variables with respect to symmetric
norms and related combinatorial estimates" by Marius Junge.
Abstract: We calculate the p-the moment of the sum of n independent random
variables with respect to symmetric norm in R^n. The order of growth
for upper bound p/ln p obtained in ths estimate is optimal. The result
extends to generalized Lorentz spaces l_{f,w} under mild assumptions on
f. Indeed, the key combinatorial estimate is obtained for the weak l_1
(l_{1,infinity})-norm. Similar results have been obtained independently
by Montgomery-Smith using different techniques and avoiding the
combinatorial estimate.
Archive classification: Probability Theory; Operator Algebras
Mathematics Subject Classification: 46B09,60G50, 60C05, 47L20
The source file(s), driver55.tex: 67890 bytes, is(are) stored in gzipped
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Submitted from: junge at math.uiuc.edu
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From alspach Sun Oct 6 22:16:30 2002
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Date: Sun, 6 Oct 2002 22:16:30 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200210070316.g973GUv15838 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Timur Oikhberg and Vladimir G. Troitsky
Status: R
This is an announcement for the paper "A theorem of Krein revisited"
by Timur Oikhberg and Vladimir G. Troitsky.
Abstract: M. Krein proved in 1948 that if T is a continuous operator
on a normed space leaving invariant an open cone, then its adjoint T*
has an eigenvector. We present generalizations of this result as well
as some applications to C*-algebras, operators on l_1, operators with
invariant sets, contractions on Banach lattices, the Invariant Subspace
Problem, and von Neumann algebras.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B40, 47B60, 47B65
Remarks: To appear in Rocky Mountain J. Math
The source file(s), krein.tex: 38594 bytes, is(are) stored in gzipped
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Submitted from: vtroitsky at math.ualberta.ca
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From alspach Tue Oct 8 20:48:15 2002
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Date: Tue, 8 Oct 2002 20:48:15 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200210090148.g991mFr19462 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Vladimir G. Troitsky
Status: R
This is an announcement for the paper "Measures of non-compactness of
operators on Banach lattices" by Vladimir G. Troitsky.
Abstract: Andreu et al [2] and Sadovskii [11] used representation spaces
to study measures of non-compactness and spectral radii of operators
on Banach lattices. In this paper, we develop representation spaces
based on the nonstandard hull construction (which is equivalent to
the ultrapower construction). As a particular application, we present
a simple proof and some extensions of the main result of de Pagter and
Schep [6] on the monotonicity of the measure of non-compactness and the
spectral radius of AM-compact operators. We also use the representation
spaces to characterize d-convergence and discuss the relationship between
d-convergence and the measures of non-compactness.
Archive classification: Functional Analysis
Mathematics Subject Classification: 47B06, 47B60, 47B65, 47A10, 47B10,
46B08, 46B42, 46B50, 26E35, 46S20
Remarks: To appear in Positivity
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Submitted from: vtroitsky at math.ualberta.ca
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From alspach Fri Oct 18 13:12:48 2002
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Date: Fri, 18 Oct 2002 13:12:48 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200210181812.g9IICmK10015 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Dale Alspach and Simei Tong
Status: R
This is an announcement for the paper "Complemented subspaces of L_p
determined by partitions and weights" by Dale Alspach and Simei Tong.
Abstract: Many of the known complemented subspaces of L_p
have realizations as sequence spaces. In this paper a systematic
approach to defining these spaces which uses partitions and weights is
introduced. This approach gives a unified description of many well-known
complemented subspaces of L_p. It is proved that the class of spaces with
such norms is stable under (p,2) sums. By introducing the notion of an
envelope norm, we obtain a necessary condition for a Banach sequence space
with norm given by partitions and weights to be isomorphic to a subspace
of L_p. Using this we define a space Y_n with norm given by partitions
and weights with distance to any subspace of L_p growing with n. This
allows us to construct an example of a Banach space with norm given by
partitions and weights which is not isomorphic to a subspace of L_p.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B20 Primary 46E30 Secondary
The source file(s), alsptong.tex: 61584 bytes, is(are) stored in gzipped
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From alspach Tue Oct 22 07:31:52 2002
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Date: Tue, 22 Oct 2002 07:31:52 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200210221231.g9MCVqm21539 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Vladimir Kadets, Nigel Kalton, and Dirk Werner
Status: R
This is an announcement for the paper "Remarks on rich subspaces of
Banach spaces" by Vladimir Kadets, Nigel Kalton, and Dirk Werner.
Abstract: We investigate rich subspaces of $L_1$ and deduce an
interpolation property of Sidon sets.
We also present examples of rich separable subspaces of nonseparable
Banach
spaces and we study the Daugavet property of tensor products.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B20; 46B04; 46M05; 47B38
Remarks: 12 pages
The source file(s), dauga7.tex: 38914 bytes, is(are) stored in gzipped
form as 0210287.gz with size 13kb. The corresponding postcript file has
gzipped size 60kb.
Submitted from: werner at math.fu-berlin.de
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From alspach Thu Nov 7 07:38:46 2002
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Date: Thu, 7 Nov 2002 07:38:46 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200211071338.gA7DckL07109 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by David P. Blecher and Damon M. Hay
Status: R
This is an announcement for the paper "Complete isometries - an
illustration of noncommutative functional analysis" by David P. Blecher
and Damon M. Hay.
Abstract: This article, addressed to a general audience of functional
analysts, is intended to be an illustration of a few basic principles from
`noncommutative functional analysis', more specifically the new field
of {\em operator spaces.} In our illustration we show how the classical
characterization of (possibly non-surjective) isometries between function
algebras generalizes to operator algebras. We give some variants of this
characterization, and a new proof which has some advantages.
Archive classification: Functional Analysis; Operator Algebras
Mathematics Subject Classification: Primary 46L07, 46L05, 47L30;
Secondary 46J10
Remarks: 12 pages - Intended for Conference Proceedings
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Submitted from: dblecher at math.uh.edu
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From alspach at math.okstate.edu Fri Nov 8 09:21:20 2002
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To: banach at mail.math.okstate.edu
Subject: Rainwater biography
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Date: Fri, 08 Nov 2002 08:08:53 -0600
From: Dale Alspach <alspach at math.okstate.edu>
Sender: owner-banach at mail.math.okstate.edu
Precedence: bulk
Bob Phelps has written a biography of John Rainwater
http://at.yorku.ca/t/o/p/d/47.htm
There is also a link off the Banach Space Bulletin Board home page
http://www.math.okstate.edu/~alspach/banach/
Dale Alspach
From alspach Mon Nov 18 22:03:16 2002
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Date: Mon, 18 Nov 2002 22:03:16 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200211190403.gAJ43G708290 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Nigel Kalton, Stephen Montgomery-Smith, Krzysztof Oleszkiewicz and Yuri Tomilov
Status: R
This is an announcement for the paper "Power-bounded operators and
related norm estimates" by Nigel Kalton, Stephen Montgomery-Smith,
Krzysztof Oleszkiewicz and Yuri Tomilov.
Abstract: We consider whether L = limsup_{n to infty} n ||T^{n+1}-T^n||
< infty implies that the operator T is power bounded. We show that
this is so if L<1/e, but it does not necessarily hold if L=1/e. As
part of our methods, we improve a result of Esterle, showing that if
sigma(T) = {1} and T != I, then liminf_{n to infty} n ||T^{n+1}-T^n||
>= 1/e. The constant 1/e is sharp. Finally we describe a way to create
many generalizations of Esterle's result, and also give many conditions
on an operator which imply that its norm is equal to its spectral radius.
Archive classification: Functional Analysis; Operator Algebras
Mathematics Subject Classification: Primary 47A30, 47A10; Secondary 33E20,
42A45, 46B15
Remarks: Also available at
http://www.math.missouri.edu/~stephen/preprints/
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Submitted from: stephen at math.missouri.edu
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From alspach Wed Dec 4 08:49:17 2002
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Date: Wed, 4 Dec 2002 08:49:16 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200212041449.gB4EnGU22621 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Kang-Tae Kim and Steven Krantz
Status: R
This is an announcement for the paper "Quantum normal families: normal
families of holomorphic functions and mappings on a Banach space"
by Kang-Tae Kim and Steven Krantz.
Abstract: The authors lay the foundations for the study of normal families
of holomorphic functions and mappings on an infinite-dimensional normed
linear space. Characterizations of normal families, in terms of value
distribution, spherical derivatives, and other geometric properties are
derived. Montel-type theorems are established.
A number of different topologies on spaces of holomorphic mappings are
considered. Theorems about normal families are formulated and proved in
the language of these various topologies.
Normal functions are also introduced. Characterizations in terms of
automorphisms and also in terms of invariant derivatives are presented.
Archive classification: Complex Variables; Functional Analysis
Report Number: AIM 2002-16
Remarks: 35 pages
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Submitted from: sk at math.wustl.edu
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From alspach Mon Dec 16 07:56:22 2002
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Date: Mon, 16 Dec 2002 07:56:22 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200212161356.gBGDuMk11514 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Valentin Ferenczi, Anna Maria Pelczar and Christian Rosendal
Status: R
This is an announcement for the paper "On a question of Haskell
P. Rosenthal" by Valentin Ferenczi, Anna Maria Pelczar and Christian
Rosendal.
Abstract: We consider a normalized basis in a Banach space with the
following property: any normalized block sequence of the basis has a
subsequence equivalent to the basis. We show that under uniformity or
other natural assumptions, a basis with this property is equivalent to
the unit vector basis of $c_0$ or $\ell_p$. We also address an analogous
problem for spreading models.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B20; 46B15
Remarks: 14 pages
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Submitted from: apelczar at im.uj.edu.pl
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