Messages from 2000
Messages from 2000
From alspach at hardy.math.okstate.edu Mon Jan 10 08:11:51 2000
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To: banach at math.okstate.edu
Reply-to: yoavb at techunix.technion.ac.il
Subject: Publication announcement
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Date: Mon, 10 Jan 2000 08:01:52 -0600
From: Dale Alspach <alspach at hardy.math.okstate.edu>
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We are glad to announce that our book
GEOMETRIC NONLINEAR FUNCTIONAL ANALYSIS
(Volume 1)
has appeared as volume 48 in the series Amer. Math. Soc. Colloquium
Publications.
Below is the table of contents.
Yoav Benyamini and Joram Lindenstrauss
TABLE OF CONTENTS
=================
Introduction 1
Chapter 1. Retractions, Extensions and Selections 11
1. Absolute Lipschitz Retracts 11
2. Extension of Maps on Hilbert Space 18
3. Michael's Selection Theorem 21
4. Lipschitz and Uniform Selections 26
5. Notes and Remarks 31
Chapter 2. Retractions, Extensions and Selections
(Special Topics) 35
1. Approximation of Uniformly Continuous Functions 35
2. The Nearest Point Map 40
3. The Contraction Extension Property 44
4. The Steiner Point 48
5. Simultaneously Continuous Maps 53
6. Notes and Remarks 58
Chapter 3. Fixed Points 61
1. Continuous Maps 61
2. Lipschitz Maps 63
3. Nonexpansive Maps 65
4. Approximation of Fixed Points 70
5. Notes and Remarks 79
Chapter 4. Differentiation of Convex Functions 83
1. Basic Definitions and Results 83
2. Convex Functions 85
3. Notes and Remarks 96
Chapter 5. The Radon-Nikodym Property 99
1. Vector Measures and Integration of Vector-
Valued Functions 99
2. The Radon-Nikodym Property 102
3. Differentiability, Trees and the RNP 110
4. Examples Related to the RNP 114
5. Notes and Remarks 121
Chapter 6. Negligible Sets and Gateaux
Differentiability 125
1. Haar Null Sets 125
2. Gaussian Measures 135
3. Gauss Null Sets 141
4. Gateaux Differentiability of Lipschitz
Functions 153
5. Examples Related to Frechet Differentiability 156
6. Notes and Remarks 161
7. Summary 166
Chapter 7. Lipschitz Classification of Banach
Spaces 169
1. Linearization of Lipschitz Maps 169
2. Applications and Examples 174
3. Notes and Remarks 183
Chapter 8. Uniform Embeddings into Hilbert Space 185
1. Positive Definite and Negative Definite
Functions 185
2. Uniform Embeddings into Hilbert Space 190
3. Notes and Remarks 195
Chapter 9. Uniform Classification of Spheres 197
1. The Mazur Map 197
2. Unit Spheres of Banach Lattices 199
3. Applications of the Complex Interpolation
Method 204
4. Spheres and Balls 206
5. Stable Metrics 212
6. Notes and Remarks 215
Chapter 10. Uniform Classification of Banach
Spaces 219
1. Reduction to Lipschitz and Linear Maps 219
2. Approximate Midpoints 229
3. Discrete Nets 236
4. Nonisomorphic Uniformly Homeomorphic Spaces 244
5. Uniform Types that Determine a Finite Number
of Linear Structures 246
6. Notes and Remarks 253
Chapter 11. Nonlinear Quotient Maps 261
1. Surjective Lipschitz and Smooth Maps 261
2. Nonlinear Quotient Maps 268
3. Notes and Remarks 277
Chapter 12. Oscillation of Uniformly Continuous
Functions on Unit Spheres of Finite-
Dimensional Subspaces 281
1. Dvoretzky's Theorem 281
2. Krivine's Theorem 289
3. Notes and Remarks 298
Chapter 13. Oscillation of Uniformly Continuous
Functions on Unit Spheres of Infinite-
Dimensional Subspaces 301
1. Preliminary Results 301
2. Existence of Subspaces Isomorphic to $l_p$
or $c_0$ 307
3. Uniformly Continuous Functions on the Unit
Sphere of $c_0$ 312
4. Asymptotic Biorthogonal Systems 320
5. Asymptotic Biorthogonal Systems in $l_p$ 328
6. Notes and Remarks 333
Chapter 14. Perturbations of Local Isometries 341
1. Isometries 341
2. Quasi-Isometries, Injectivity 343
3. Approximation of Quasi-Isometries by Isometries 348
4. Approximation of the Derivative 352
5. Notes and Remarks 356
Chapter 15. Perturbations of Global Isometries 359
1. The Hyers-Ulam Problem 359
2. Large Perturbations 363
3. Notes and Remarks 370
Chapter 16. Twisted Sums 373
1. Quasi-Linear Functions 373
2. Twisted Sums of Hilbert Spaces 380
3. Notes and Remarks 389
Chapter 17. Group Structure on Banach Spaces 391
1. Banach Groups 391
2. Hilbert's Fifth Problem in Infinite Dimension 399
3. Notes and Remarks 406
Appendices 409
A. Convexity 409
B. Partitions of Unity 416
C. Invariant Means 417
D. Measure and Probability 418
E. Bases and Lattices 429
F. Local Structure of Infinite-Dimensional Spaces 436
G. Quantitative Theory of Banach Spaces 440
H. Quasi-Normed Spaces 445
I. The Complex Interpolation Method 448
J. Operators on Hilbert Space 453
Bibliography 455
Index 481
From alspach at hardy.math.okstate.edu Tue Feb 8 19:16:19 2000
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To: banach at math.okstate.edu
Reply-to: "Richard M. Aron" <aron at mcs.kent.edu>
Subject: Conference at Kent State
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Date: Tue, 08 Feb 2000 13:45:16 -0600
From: Dale Alspach <alspach at hardy.math.okstate.edu>
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AN EXTRAORDINARY FRIDAY FRIDY-FEST
and INFORMAL ANALYSIS SEMINAR
KENT STATE UNIVERSITY
FRIDAY AND SATURDAY, MARCH 10 - 11, 2000
This will be a special meeting, with an emphasis
in the Friday session on SUMMABILITY to mark the
occasion of John Fridy's retirement.
We will also have our usual Saturday St. Patrick's Day
meeting on the following day, March 11, 2000. Note that
the Friday session begins at 1:00 PM, and that the
Saturday session starts at 12:00.
The following are confirmed speakers:
Friday talks: Grahame Bennett (Indiana)
"Summability for those without"
Jeff Connor (Ohio Univ.)
"A rough guide to statistical convergence"
A.K. Snyder (Lehigh)
"The Wilansky property for biorthogonal systems"
Saturday talks: Carlos Cabrelli (Univ. of Buenos Aires & Georgia Tech)
"Polynomial Reproduction and Refinable Functions"
Kit Chan (Bowling Green)
"Density of Hypercyclic Operators on a Hilbert Space"
Jose Llavona (Complutense University of Madrid)
"Polynomial continuity on Banach spaces"
Ursula Molter (Univ. of Buenos Aires & Georgia Tech)
"Tiles and Orthonormal Bases for L^2(R^n)."
Information on this meeting can also be
found at the What's New section of our website:
www.mcs.kent.edu/ math
We can arrange accommodation, and all
are most welcome. As usual, there will be ample gourmet
cuisine, of solid and liquid natures.
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To: banach at math.okstate.edu
Reply-to: Daniel LI <daniel.li at euler.univ-artois.fr>
Subject: Lille conference schedule
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<center>
CONGRES D'ANALYSE FONCTIONNELLE (27-28-29 mars 2000)
CONFERENCE IN FUNCTIONAL ANALYSIS (27-28-29 march 2000)
LILLE - LENS (FRANCE)
</center>
MONDAY 27 MARCH (Batiment M2, salle de reunion, Villeneuve d'Ascq
campus).
9h-10h Welcome
10h-10h45 G. GODEFROY (Paris VI)
Meilleure approximation dans les espaces de Banach. Sous-espaces
fortement proximinaux.
11h-11h45 K. KELLAY (Marseille)
Fonctions interieures et vecteurs bicycliques.
12h-14h Lunch
14h-14h45 B. HOST (Marne-la-Vallee)
Les cocycles affines.
15h-15h45 L. RODRIGUEZ-PIAZZA (Seville)
De nouveaux exemples d'ensembles lacunaires.
15h45-16h15 Break
16h15-17h R. DEVILLE (Bordeaux)
Continuite sequentielle forte.
17h15-18h Q. XU (Besancon)
Sur le theoreme de factorisation d'Arveson.
TUESDAY 28 MARCH (Faculte Jean Perrin, salle P105, Lens).
8h45 A coach shuttle will take the conference participants to Lens. It
will be in front of the hotel "Ascotel" near the conference building,
and will leave at 8h45.
10h-1045 H. JARCHOW (Zurich)
Nevanlinna algebras.
11h-11h45 A. OLEVSKI (Tel-Aviv)
Sparse spectra: approximations and expansions.
12h-14h Lunch
14h-14h45 N. KALTON (Missouri-Columbia)
Boundedness of bilinear multipliers.
15h-15h45 A. BORITCHEV (Bordeaux)
Two results on weighted polynomial approximation on the real line.
15h45-16h15 Break
16h15-17h D. WERNER(Berlin)
Banach spaces with the Daugavet property.
17h15-18h C. LEMERDY (Besancon)
Matrix space factorizations for mappings on operator spaces.
WEDNESDAY 29 MARCH (Batiment M2, salle de reunion, Villeneuve d'Ascq
campus).
This day will be a common meeting for the Conference on Probabilities:
Colloque Theoremes Limites en Statistiques et Probabilites (organized by
Ch. SUQUET) and the Conference on Functional Analysis.
9h-9h45 J.-P. KAHANE (Paris-Sud)
Constructions d'ensembles de Salem par des methodes probabilistes et
de Baire.
9h45-10h30 W. LINDE (Iena)
Gaussian approximation numbers with applications to fractional
Brownian sheet.
10h30-11h Break
11h-11h45 Y. HEURTEAUX (Paris-Sud)
Comment calculer ou estimer la dimension des mesures.
11h45-12h30 M. LIFSHITS (Saint-Petersbourg and Lille)
Probabilistic approach to evaluation of entropy of linear operators.
12h30-14h Lunch
14h15-15h F. BARTHE (Marne-la-Vallee)
Approches fonctionnelles de l'isoperimetrie.
15h-15h45 M. LEDOUX (Toulouse)
Concentration, transportation and logarithmic Sobolev inequalities.
15h45-16h15 Break
16h15-17h X. FERNIQUE (Strasbourg)
Continuite des fonctions aleatoires gaussiennes a valeurs dans
$\ell_2$.
17h-17h45 Y. DAVIDOV (Lille)
Theoremes limites pour les zonotopes aleatoires.
*******************************************************************************
*
Poster sessions will be plan. Please contact the organizers.
*******************************************************************************
*
Daniel Li
Universite d'Artois
Faculte des Sciences Jean Perrin
rue Jean Souvraz
SP 18
62307 LENS Cedex
Tel +33 (0)3 21 79 17 22
Fax +33 (0)3 21 79 17 29
daniel.li at euler.univ-artois.fr
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To: banach at math.okstate.edu
Reply-to: Daniel LI <daniel.li at euler.univ-artois.fr>
Subject: Lille (spring school) with abstracts
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<center>ECOLE DE PRINTEMPS EN ANALYSE FONCTIONNELLE (20 au 25 mars
2000)
SPRING SCHOOL IN FUNCTIONAL ANALYSIS (20 to 25 march 2000)
LILLE - LENS (FRANCE)
PROGRAMME - SCHEDULE
</center>
Les cours auront lieu au campus de Villeneuve d'Ascq, Batiment M2, salle
de reunion (1er etage).
Lectures will be given in Batiment M2, salle de reunion (first floor),
Villeneuve d'Ascq campus.
Lundi 20 mars - Monday 20 march
9h30-10h Accueil - Welcome
10h-11h T. Korner 1
11h15-12h15 T. Korner 2
14h30-15h30 N. Kalton 1
16h-17h N. Kalton 2
Mardi 21 mars - Tuesday 21 march
10h-11h G. Godefroy 1
11h15-12h15 G. Godefroy 2
14h30-15h30 F. Parreau 1
16h-17h F. Parreau 2
Mercredi 22 mars - Wednesday 22 march
10h-11h G. Godefroy 3
11h15-12h15 N. Kalton 3
Jeudi 23 mars - Thursday 23 march
10h-11h G.Godefroy 4
11h15-12h15 G. Godefroy 5
14h30-15h30 F. Parreau 3
16h-17h F. Parreau 4
Vendredi 24 mars - Friday 24 march
10h-11h T. Korner 3
11h15-12h15 T. Korner 4
14h30-15h-30 N. Kalton 4
16h-17h N. Kalton 5
Samedi 25 mars - Saturday 25 march
10h-11h F. Parreau 5
11h15-12h15 T. Korner 5
****************************************************************************
****
Les etudiants auront la possibilite d'exposer leurs travaux par des
exposes d'une vingtaine de minutes, le mercredi apres-midi, ou les autres
jours apres 17h. Ceux desirant le faire sont invites a se faire connaitre
et a donner un titre avec un resume.
Students will have opportunity to give a talk on their work (about 20
minutes) wednesday afternoon or after 5pm the other days. Students which
plan to speak should tell us, and have to give a title with an
abstract.
****************************************************************************
****
CONTENU DES COURS - CONTENTS
**G. GODEFROY (Paris VI) : L'espace $L^1$ et ses sous-espaces.
Resume : L'espace $L^1$ joue un role central en analyse harmonique et en
theorie des probabilites, et son etude permet d'appliquer des outils de
geometrie des espaces de Banach a ces domaines. Nous nous interesserons
plus particulierement aux applications a l'analyse harmonique et a
quelques problemes de lacunarite dans l'ensemble $\bf Z$ des entiers
relatifs. La representation des operateurs sur $L^1$ sera etudiee et
utilisee. On abordera egalement la question de savoir quels sous espaces
de $L^1$ ont une structure presque discrete, c'est-a-dire sont
arbitrairement proches de sous-espaces de $\ell^1$, ce qui nous conduira
a utiliser des
methodes probabilistes. Des problemes ouverts de difficulte variee seront
presentes.
**G. GODEFROY (Paris VI): The space $L^1$ and its subspaces.
Schedule : The space $L^1$ has a central place in harmonic analysis and
in probability theory, and its study allows to use tools from the
geometry of Banach spaces in these fields. More specifically, we will
give some application to harmonic analysis and to some problems about
lacunarity in the set $\bb Z$ of the integers. We will study and use the
representation of operators on $L^1$. We will also study the subspaces of
$L^1$ which have an almost discrete structure, i.e. which are arbitrarily
close to subspaces of $\ell_1$, and this will lead us to use
probabilistic tools. Some open problems, of various difficulty, will be
discussed.
**N. KALTON (Missouri-Columbia) : Banach spaces and analytic
semigroups.
Abstract: We will give an overview of the theory of sectorial operators
and operators with an $H^{\infty}-$calculus, leading up to recent work of
the author, G. Lancien and L. Weis. Our aim will be to show how modern
concepts in Banach space theory can be applied successfully in this area
to yield new illuminating results.
**T. KORNER (Cambridge) : Applications of Probability to Harmonic
Analysis, First Steps.
Abstract The course will not assume much knowledge of either harmonic
analysis or probability. The contents are not fixed but may include :
(1) Sphere packing and Shannon's Theorem
(2) Fourier transforms and normal approximations
(3) Rearranged Haar series and the reflection principle
(4) The zero-one law and natural boundaries
(5) The decay of familly names and Brownian motion
**F. PARREAU (Paris XIII) : Produits de Riesz en theorie ergodique.
But : A travers des calculs explicites sur une classe de constructions,
on montrera des relations etroites entre certains problemes de theorie
ergodique et des problemes d'analyse harmonique des mesures, et on
essaiera de presenter quelques r\'esultats r\'ecents.
Programme : Systemes dynamiques mesurables, type spectral et notions de
melange. Multiplicite spectrale. Des produits de Riesz comme mesures
spectrales : constructions par decoupage et empilement (systemes de
``rang un"), etude spectrale ; extensions simples, exemples classiques.
Melange faible, fonctions propres et translations des produits de
Riesz.
Criteres de singularite ou de singularite mutuelle des produits de Riesz.
Probleme du spectre simple de Lebesgue et polynomes trigonometriques
``plats". Quelques autres questions de theorie ergodique liees aux
proprietes du type spectral et de ses puissances de convolution.
Exemples obtenus par construction de systemes de rang un.
**F. PARREAU (Paris XIII): Riesz products in ergodic theory.
Goal : through explicit computations on a class of constructions, we will
show connections between problems in ergodic theory and problems in
harmonic analysis of measures, and we shall try to present some recent
results.
Schedule : measurable dynamical systems, spectral type and different
notions of mixing. Spectral multiplicity. Riesz products as spectral
measures: construction by cutting and stacking ("rank-one" systems).
Spectral analysis. Extensions and classical examples. Conditions of weak
mixing. Eigenfunctions and translates of Riesz products. Criteria of
singularity or mutual singularity of Riesz products. The problem of
simple Lebesgue spectrum and flat trigonometric polynomials. Some other
questions of ergodic theory related to harmonic properties of the
spectral type and its convolution powers. Examples obtained by
construction of rank-one systems.
****************************************************************************
*****
<center>
</center>
Daniel Li
Universite d'Artois
Faculte des Sciences Jean Perrin
rue Jean Souvraz
SP 18
62307 LENS Cedex
Tel +33 (0)3 21 79 17 22
Fax +33 (0)3 21 79 17 29
daniel.li at euler.univ-artois.fr
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Subject: Conference announcement
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Date: Wed, 16 Feb 2000 08:05:16 -0600
From: Dale Alspach <alspach at hardy.math.okstate.edu>
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ICAA 2000
The Third International Conference on Abstract Analysis in Africa
26 - 30 June 2000
Berg-en-Dal, Kruger National Park
SOUTH AFRICA
Call for papers! Deadline 31 March 2000
Conference e-mail: icaa at math.up.ac.za
Home page: http://www.math.up.ac.za/icaa
or www.mcs.kent.edu/~icaa
Anonymous ftp: ftp.math.up.ac.za/pub/icaa
(login as anonymous and use e-mailnumber as pass word)
The Third International Conference on Abstract Analysis in Africa is a
follow-up to ICAA 93 and ICAA 96, which were held in 1993 and 1996
respectively. ICAA 2000 will again be devoted to various aspects of
Abstract Analysis.
The programme will include talks by invited speakers and shorter research
talks by other participants as well as problem sessions.
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Subject: Abstract of a paper by Daniel Azagra and Mar Jimenez-Sevilla
Date: Tue, 15 Feb 2000 08:42:04 -0600
From: Dale Alspach <alspach at hardy.math.okstate.edu>
This is an announcement for the paper "Rolle's theorem is either false
or trivial in infinite-dimensional Banach spaces" by Daniel Azagra
and Mar Jimenez-Sevilla.
Abstract: We prove the following new characterization of $C^p$ (Lipschitz)
smoothness in Banach spaces. An infinite-dimensional Banach space $X$
has a $C^p$ smooth (Lipschitz) bump function if and only if it has
another $C^p$ smooth (Lipschitz) bump function $f$ such that $f'(x)\neq
0$ for every point $x$ in the interior of the support of $f$ (that is,
$f$ does not satisfy Rolle's theorem). Moreover, the support of this
bump can be assumed to be a smooth starlike body. As a by-product of
the proof of this result we also obtain other useful characterizations
of $C^p$ smoothness related to the existence of a certain kind of
deleting diffeomorphisms, as well as to the failure of Brouwer's fixed
point theorem even for smooth self-mappings of starlike bodies in all
infinite-dimensional spaces. Finally, we study the structure of the set
of gradients of bump functions in the Hilbert space $\ell_2$, and as a
consequence of the failure of Rolle's theorem in infinite dimensions we
get the following result. The usual norm of the Hilbert space $\ell_2$
can be uniformly approximated by $C^1$ smooth Lipschiz functions $\psi$
so that the cones generated by the sets of derivatives $\psi'(\ell_{2})$
have empty interior. This implies that there are $C^1$ smooth Lipschitz
bumps in $\ell_{2}$ so that the cones generated by their sets of gradients
have empty interior.
Archive classification: Functional Analysis; Differential Geometry
Mathematics Subject Classification: 46B20, 58B99
Remarks: 20 pages
The source file(s), Rolle6.tex: 71390 bytes, is(are) stored in gzipped
form as 0002108.gz with size 21kb. The corresponding postcript file has
gzipped size 85kb.
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/0002108
or
http://xxx.lanl.gov/abs/math.FA/0002108
or by email in unzipped form by transmitting an empty message with
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Subject: Abstract of a paper by Xavier Tolsa
Date: Mon, 21 Feb 2000 08:37:37 -0600
From: Dale Alspach <alspach at hardy.math.okstate.edu>
This is an announcement for the paper "BMO, $H^1$, and Calderon-Zygmund
operators for non doubling measures" by Xavier Tolsa.
Abstract: Given a Radon measure $\mu$ on $R^d$, which may be non doubling,
we introduce a space of type BMO with respect to this measure. It
is shown that many properties that hold when $\mu$ is doubling remain
valid for the space BMO introduced in this paper, without assuming $\mu$
doubling. For instance, Calderon-Zygmund operators which are bounded
in $L^2$ are bounded from $L^\infty$ into the new BMO space. Moreover,
a John-Nirenberg inequality is satisfied, and the predual of BMO is an
atomic space $H^1$. Using a sharp maximal function it is proved that
operators bounded from $L^\infty$ into BMO and from $H^1$ into $L^1$ are
also bounded on $L^p$, $1<p<\infty$. This result gives a new proof of the
T(1) theorem for the Cauchy transform with non doubling measures. Finally,
a result about commutators is obtained.
Archive classification: Classical Analysis; Complex Variables; Functional
Analysis
Mathematics Subject Classification: 42B20; 42B30
Remarks: 58 pages
The source file(s), bmo.tex: 137029 bytes, is(are) stored in gzipped
form as 0002152.gz with size 36kb. The corresponding postcript file has
gzipped size 169kb.
Submitted from: xavier at math.chalmers.se
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.CA/0002152
or
http://xxx.lanl.gov/abs/math.CA/0002152
or by email in unzipped form by transmitting an empty message with
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From alspach Mon Feb 28 08:40:15 2000
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Mon, 28 Feb 2000 08:40:15 -0600
Date: Mon, 28 Feb 2000 08:40:15 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200002281440.IAA28910 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by Edward Odell and Thomas Schlumprecht
Status: R
This is an announcement for the paper "Trees and branches in Banach
spaces" by Edward Odell and Thomas Schlumprecht.
Abstract: An infinite dimensional notion of asymptotic structure is
considered. This notion is developed in terms of trees and branches
on Banach spaces. Every countably infinite countably branching tree
$\mathcal T$ of a certain type on a space $X$ is presumed to have a
branch with some property. It is shown that then $X$ can be embedded
into a space with an FDD $(E_i)$ so that all normalized sequences in $X$
which are almost a skipped blocking of $(E_i)$ have that property. As
an application of our work we prove that if $X$ is a separable reflexive
Banach space and for some $1<p<\infty$ and $C<\infty$ every weakly null
tree $\mathcal T$ on the sphere of $X$ has a branch $C$-equivalent to
the unit vector basis of $\ell_p$, then for all $\varepsilon>0$, there
exists a finite codimensional subspace of $X$ which $C^2+\varepsilon$
embeds into the $\ell_p$ sum of finite dimensional spaces.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B03, 46B20
Report Number: ut-ma/00-01
Remarks: LaTeX, 24pp
The source file(s), os-trees-lanl.tex: 79198 bytes, is(are) stored in
gzipped form as 0002219.gz with size 24kb. The corresponding postcript
file has gzipped size 106kb.
Submitted from: combs at math.utexas.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0002219
or
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From alspach Tue Feb 29 14:13:57 2000
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Tue, 29 Feb 2000 14:13:57 -0600
Date: Tue, 29 Feb 2000 14:13:57 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200002292013.OAA08154 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by Alex Chigogidze
Status: R
This is an announcement for the paper "Complemented subspaces of locally
convex direct sums of Banach spaces" by Alex Chigogidze.
Abstract: We show that a complemented subspace of a locally convex
direct sum of an uncountable collection of Banach spaces is a locally
convex direct sum of complemented subspaces of countable subsums. As
a corollary we prove that a complemented subspace of a locally convex
direct sum of arbitrary collection of $\ell_{1}(\Gamma )$-spaces is
isomorphic to a locally convex direct sum of $\ell_{1}(\Gamma )$-spaces.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46M10, 46B25
The source file(s), ellsums.TEX: 20493 bytes, is(are) stored in gzipped
form as 0002241.gz with size 6kb. The corresponding postcript file has
gzipped size 38kb.
Submitted from: chigogid at snoopy.usask.ca
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0002241
or
http://xxx.lanl.gov/abs/math.FA/0002241
or by email in unzipped form by transmitting an empty message with
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From alspach Tue Feb 29 14:23:37 2000
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Tue, 29 Feb 2000 14:23:37 -0600
Date: Tue, 29 Feb 2000 14:23:37 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200002292023.OAA08257 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by Manuel Gonzalez and Joaquin M. Gutierrez
Status: R
This is an announcement for the paper "Polynomials on Schreier's space"
by Manuel Gonz\'alez and Joaqu\'{\i}n M. Guti\'errez.
Abstract: We introduce a weakened version of the Dunford-Pettis property,
and give examples of Banach spaces with this property. In particular, we
show that every closed subspace of Schreier's space $S$ enjoys it. As an
application, we characterize the weak polynomial convergence of sequences,
show that every closed subspace of $S$ has the polynomial Dunford-Pettis
property of Bistr\"om et al.\ and give other polynomial properties of $S$.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B20
Remarks: 12 pages
The source file(s), Poss.tex: 35579 bytes, is(are) stored in gzipped
form as 0002239.gz with size 11kb. The corresponding postcript file has
gzipped size 56kb.
Submitted from: jgutierrez at math.etsii.upm.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0002239
or
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From alspach Tue Feb 29 16:48:04 2000
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Tue, 29 Feb 2000 16:48:04 -0600
Date: Tue, 29 Feb 2000 16:48:04 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200002292248.QAA09021 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by Alex Chigogidze
Status: R
This is an announcement for the paper "Complemented subspaces of products
of Banach spaces" by Alex Chigogidze.
Abstract: We show that complemented subspaces of uncountable products
of Banach spaces are products of complemented subspaces of countable
subproducts.
Archive classification: Functional Analysis
Mathematics Subject Classification: Primary: 46A03, 46M10; Secondary:
46A13
The source file(s), newampi.TEX: 24713 bytes, is(are) stored in gzipped
form as 0002242.gz with size 7kb. The corresponding postcript file has
gzipped size 43kb.
Submitted from: chigogid at snoopy.usask.ca
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0002242
or
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uget 0002242
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From alspach Tue Mar 7 08:19:43 2000
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Tue, 7 Mar 2000 08:19:43 -0600
Date: Tue, 7 Mar 2000 08:19:43 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200003071419.IAA03560 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by Manuel Gonzalez and Joaquin M. Gutierrez
Status: R
This is an announcement for the paper "Orlicz-Pettis polynomials on
Banach spaces" by Manuel Gonzalez and Joaquin M. Gutierrez.
Abstract: We introduce the class of Orlicz-Pettis polynomials between
Banach spaces, defined by their action on weakly unconditionally
Cauchy series. We give a number of equivalent definitions, examples and
counterexamples which highlight the differences between these polynomials
and the corresponding linear operators.
Archive classification: Functional Analysis
Mathematics Subject Classification: Primary: 46G25; Secondary: 46B20
Remarks: 10 pages
The source file(s), oppbs.tex: 34058 bytes, is(are) stored in gzipped
form as 0003020.gz with size 10kb. The corresponding postcript file has
gzipped size 59kb.
Submitted from: jgutierrez at math.etsii.upm.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0003020
or
http://xxx.lanl.gov/abs/math.FA/0003020
or by email in unzipped form by transmitting an empty message with
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uget 0003020
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From alspach Fri Mar 10 17:21:01 2000
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Fri, 10 Mar 2000 17:21:01 -0600
Date: Fri, 10 Mar 2000 17:21:01 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200003102321.RAA28125 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by Rafal Latala, Krzysztof Oleszkiewicz
Status: R
This is an announcement for the paper "Between Sobolev and Poincar\'e"
by Rafal Latala, Krzysztof Oleszkiewicz.
Abstract: We establish a family of functional inequalities interpolating
between the classical logarithmic Sobolev and Poincar\'e inequalities. We
prove that they imply the concentration of measure phenomenon intermediate
between Gaussian and exponential. Our bounds are close to optimal.
Archive classification: Probability Theory; Functional Analysis
Mathematics Subject Classification: 60E15 (primary) 28A35, 46N30
(secondary)
Remarks: 23 pages
The source file(s), gafawys.tex: 51017 bytes, is(are) stored in gzipped
form as 0003043.gz with size 15kb. The corresponding postcript file has
gzipped size 80kb.
Submitted from: rlatala at mimuw.edu.pl
The paper may be downloaded from the archive by web browser from URL
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From alspach Mon Mar 20 13:56:49 2000
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Mon, 20 Mar 2000 13:56:49 -0600
Date: Mon, 20 Mar 2000 13:56:49 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200003201956.NAA28684 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by O. E. Tikhonov, L. V. Veselova
Status: R
This is an announcement for the paper "The uniqueness of the solution
to inverse problems of interpolation of positive operators in Banach
lattices" by O. E. Tikhonov, L. V. Veselova.
Abstract: We prove that an interpolation pair of Banach lattices is
uniquely determined by the collection of intermediate spaces with the
property that these are interpolation spaces for positive operators. A
correspondent result for exact interpolation is also presented.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B42; 46B70
Remarks: 3 pages
The source file(s), B_lat.tex: 8933 bytes, is(are) stored in gzipped
form as 0003095.gz with size 3kb. The corresponding postcript file has
gzipped size 24kb.
Submitted from: oleg.tikhonov at ksu.ru
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From alspach Mon Mar 20 13:58:52 2000
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Mon, 20 Mar 2000 13:58:51 -0600
Date: Mon, 20 Mar 2000 13:58:51 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200003201958.NAA28727 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by Manuel Gonzalez and Joaquin M. Gutierrez
Status: R
This is an announcement for the paper "The polynomial property (V)"
by Manuel Gonzalez and Joaquin M. Gutierrez.
Abstract: Given Banach spaces $E$ and $F$, we denote by ${\mathcal
P}(^k!E,F)$ the space of all $k$-homogeneous (continuous) polynomials
from $E$ into $F$, and by ${\mathcal P}_{wb}(^k!E,F)$ the subspace of
polynomials which are weak-to-norm continuous on bounded sets. It is
shown that if $E$ has an unconditional finite dimensional expansion of
the identity, the following assertions are equivalent: (a) ${\mathcal
P}(^k!E,F)={\mathcal P}_{wb}(^k!E,F)$; (b) ${\mathcal P}_{wb}(^k!E,F)$
contains no copy of $c_0$; (c) ${\mathcal P}(^k!E,F)$ contains no copy
of $\ell_\infty$; (d) ${\mathcal P}_{wb}(^k!E,F)$ is complemented in
${\mathcal P}(^k!E,F)$. This result was obtained by Kalton for linear
operators. As an application, we show that if $E$ has Pe\l czy\'nski's
property (V) and satisfies ${\mathcal P}(^k!E) ={\mathcal P}_{wb}(^k!E)$
then, for all $F$, every unconditionally converging $P\in{\mathcal
P}(^k!E,F)$ is weakly compact. If $E$ has an unconditional finite
dimensional expansion of the identity, then the converse is also true.
Archive classification: Functional Analysis
Mathematics Subject Classification: Primary 46G25; Secondary 46B20
Remarks: 9 pages
The source file(s), ppv.tex: 30755 bytes, is(are) stored in gzipped
form as 0003111.gz with size 9kb. The corresponding postcript file has
gzipped size 56kb.
Submitted from: jgutierrez at math.etsii.upm.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0003111
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From alspach Mon Mar 27 07:41:18 2000
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Mon, 27 Mar 2000 07:41:18 -0600
Date: Mon, 27 Mar 2000 07:41:18 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200003271341.HAA08588 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by Hermann Pfitzner
Status: R
This is an announcement for the paper "A note on asymptotically isometric
copies of $l^1$ and $c_0$" by Hermann Pfitzner.
Abstract: Nonreflexive Banach spaces that are complemented in their
bidual by an L-projection - like preduals of von Neumann algebras or
the Hardy space $H^1$ - contain, roughly speaking, many copies of $l^1$
which are very close to isometric copies. Such $l^1$-copies are known
to fail the fixed point property. Similar dual results hold for $c_0$.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B03; 46B04, 46B20, 47H10
Remarks: to appear in Proc. Am. Math. Soc
The source file(s), Fixpunkt_Corr.tex: 24220 bytes, is(are) stored in
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file has gzipped size 43kb.
Submitted from: hermann.pfitzner at labomath.univ-orleans.fr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0003151
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From alspach Mon Mar 27 07:42:40 2000
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Mon, 27 Mar 2000 07:42:40 -0600
Date: Mon, 27 Mar 2000 07:42:40 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200003271342.HAA08630 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by Hermann Pfitzner
Status: R
This is an announcement for the paper "Perturbation of $l^1$-copies and
measure convergence in preduals of von Neumann algebras" by Hermann
Pfitzner.
Abstract: Let L_1 be the predual of a von Neumann algebra with a
finite faithful normal trace. We show that a bounded sequence in L_1
converges to 0 in measure if and only if each of its subsequences
admits another subsequence which converges to 0 in norm or spans $l^1$
"almost isometrically". Furthermore we give a quantitative version of
an essentially known result concerning the perturbation of a sequence
spanning $l^1$ isomorphically in the dual of a C$^*$-algebra.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B20, 46L05
Remarks: submitted to J. of Op. Th
The source file(s), Fuer_Archive.tex: 71700 bytes, is(are) stored in
gzipped form as 0003152.gz with size 20kb. The corresponding postcript
file has gzipped size 84kb.
Submitted from: hermann.pfitzner at labomath.univ-orleans.fr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0003152
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http://xxx.lanl.gov/abs/math.FA/0003152
or by email in unzipped form by transmitting an empty message with
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uget 0003152
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From alspach Mon Mar 27 07:43:50 2000
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Date: Mon, 27 Mar 2000 07:43:50 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200003271343.HAA08672 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by Hermann Pfitzner
Status: R
This is an announcement for the paper "L-embedded Banach spaces and
measure topology}" by Hermann Pfitzner.
Abstract: An L-embedded Banach spaace is a Banach space which is
complemented in its bidual such that the norm is additive between the
two complementary parts. On such spaces we define a topology, called
an abstract measure topology, which by known results coincides with the
usual measure topology on preduals of finite von Neumann algebras (like
$L_1([0,1])$). Though not numerous, the known properties of this topology
suffice to generalize several results on subspaces of $L_1([0,1])$
to subspaces of arbitrary L-embedded spaces.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B20; 46B25, 46B51, 46L05, 46L51
The source file(s), LL_und_Mass.tex: 84826 bytes, is(are) stored in
gzipped form as 0003154.gz with size 24kb. The corresponding postcript
file has gzipped size 96kb.
Submitted from: hermann.pfitzner at labomath.univ-orleans.fr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0003154
or
http://xxx.lanl.gov/abs/math.FA/0003154
or by email in unzipped form by transmitting an empty message with
subject line
uget 0003154
or in gzipped form by using subject line
get 0003154
to: math at xxx.lanl.gov.
From alspach at ms417l.math.okstate.edu Wed Apr 5 21:01:23 2000
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Reply-to: aron at aron.facnet.mcs.kent.edu
Subject: Kent State U. INFORMAL ANALYSIS SEMINAR
To: banach at math.okstate.edu
Mime-Version: 1.0
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Date: Wed, 05 Apr 2000 16:37:29 -0500
From: Dale Alspach <alspach at ms417l.math.okstate.edu>
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INFORMAL ANALYSIS SEMINAR
at
KENT STATE UNIVERSITY
SATURDAY, April 29, 2000
An action packed Saturday will begin a bit earlier than usual and end
a bit later than usual with a concert.
All talks will be in Room 228 of the Mathematics & Computer Science Building
11:00 - 12:00 Vladimir Gurariy (Kent State)
``A generalization of Parseval's theorem for all bases
in Hilbert spaces''
12:00 = 1:00 Lunch in the third floor coffee lounge
1:00 - 2:00 Oscar Blasco (Valencia)
``Bilinear maps and convolution''
2:15 - 3:15 : Joe Cima (Chapel Hill)
``Composition operators on some function spaces''
3:30 - 4:30 : Eve Oja (Tartu)
``Lifting approximation properties from Banach spaces
to their dual spaces''
= = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = =
5:00 : Piano Recital in the Ludwig Recital Hall (Music and Speech Building)
Per Enflo (Kent State)
F. Schubert : A Minor Sonata
B. Bartok : Suite, Opus 14
J. Brahms : Three Intermezzi, Opus 117
F. Chopin : Etudes, Opus 25
We can arrange accommodation, and all are most welcome. As usual
there will be ample gourmet cuisine.
Richard Aron, Joe Diestel, Per Enflo, Vladimir Gurariy, Bob Lohman,
Victor Lomonosov, Andrew Tonge.
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To: banach at math.okstate.edu
Reply-to: flancien at Math.Univ-FComte.FR
Subject: summerschool in Besancon
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Date: Thu, 06 Apr 2000 12:59:52 -0500
From: Dale Alspach <alspach at ms417l.math.okstate.edu>
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We invite you to participate to the following summerschool in functional
analysis organized by the Math Department of the University of Besancon
(France) Could you please forward the following announcement to collegues
or students who may be interested? The website of the math department
will have updated information about the school.
http://www-math.univ-fcomte.fr/Actu/SummerSchool/
Sincerely,
Florence Lancien
============================================================================
The Math Department of the University of Besancon organizes a
Summerschool in Functionnal Analysis
June 19 - 29, 2000
in Besancon.
The following courses will be offered:
O. BLASCO (Valence, Espagne)
"Topics in vector-valued Fourier analysis"
M. BOZEJKO (Wroclaw ,Pologne)
"Non commutative probabilities and applications"
G. GODEFROY (Paris 6, France)
"Smoothness in Banach spaces and applications"
N. KALTON (Missouri, USA)
"Recent progress on sectorial operators"
J. LINDENSTRAUSS (Jerusalem, ISRAEL)
"Negligible sets in Banach spaces"
Q. XU (Besancon, France)
"Non commutative probabilities and applications"
Each course will consist in a series of 4 one hour
lectures. The courses are intended to be accessible to
graduate students with a background in functionnal
analysis...
Short lectures sessions will also be organized. All
researchers, including PhD students are encouraged to
participate.
The school is sponsored by a SOCRATES Intensive Programm
involving the
universities of Besancon, Delft, Halle, Tubingen, Ulm,
Madrid, Valencia, Zaragossa. Financial suppport is available
for participants from these institutions.
Students from other universities may apply for partial
support.
For further information:
- -----------------
The website of the math department will have updated
information about the school.
http://www-math.univ-fcomte.fr/Actu/SummerSchool/
or
mailto:Florence.Lancien at math.univ-fcomte.fr
To register:
- ------------
Please fill in the above registration form and return it by
email, fax or post to:
Mme Monique DIGUGLIELMO
Département de Mathématiques, Université de Franche-Comté,
16 Route de Gray,
F-25030 BESANCON
fax: (33) 3 81 66 66 23
mailto:mdigu at math.univ-fcomte.fr
==============================================================================
PRACTICAL INFORMATIONS
- ----------------------
Besancon is 2H30 away from Paris by TGV train.
The school will take place at the "Faculte des sciences" of
the University
of Besancon, 16 Route de Gray, Besancon.
A map can be sent on request.
Registration fees: 700FF (including lunch on week days at
the place of the
conference).
Food and lodging:
- ----------------
Lunch will be taken at the University on weekdays.
Hotel de Paris
(33 Rue des Granges, in historical dowtown, 30mn walk to
University or bus):
rooms with private bathroom, shower or bath, TV, breakfast
included,
210F per night for one person,
250F per night for 2 persons (2 single beds or one double
bed).
A large range of restaurants can be found downtown.
Residence Fourier (University Hall, 19 Chemin de L'epitaphe,
on campus):
rooms with common bathroom
price for students: 500F for 2 weeks
for non-students: 650F for 2 weeks
Breakfast, lunch, dinner are served every day at the
university restaurant
(optional).
============================================================================
If you wish to participate to the summer school, please fill
and return the
following, by May 15th (before April 25th for financial
support)
- ---------------------------------------------------------------------------
REGISTRATION FORM
- -----------------
Name:
Institution:
adress:
phone:
fax:
e-mail:
student - faculty
I will attend the summer school in Besancon: Yes - No
date of arrival:
departure:
I want to present a short lecture: Yes - No
title:
I want to have a room reserved: Yes - No
from: .... for: ... nights
in: hotel de Paris - Residence Fourier
type of room:
I want to apply for partial support from:
Socrates Intensive Programm - university:
GDR analyse fonctionnelle et harmonique - universite:
other:
Remarks:
- --
Florence Lancien
Département de Mathématiques
Université de Franche-Comté
16, Route de Gray
25030 BESANCON, FRANCE
tel: (33) 3 81 66 64 64
mailto:FLancien at math.univ-fcomte.fr
From alspach Tue Apr 11 09:00:11 2000
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Date: Tue, 11 Apr 2000 09:00:11 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200004111400.JAA00811 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by Vladimir G. Troitsky
Status: R
This is an announcement for the paper "Spectral radii of bounded operators
on topological vector spaces" by Vladimir G. Troitsky.
Abstract: In this paper we develop a version of spectral theory for
bounded linear operators on topological vector spaces. We show that
the Gelfand formula for spectral radius and Neumann series can still
be naturally interpreted for operators on topological vector spaces. Of
course, the resulting theory has many similarities to the conventional
spectral theory of bounded operators on Banach spaces, though there are
several important differences. The main difference is that an operator
on a topological vector space has several spectra and several spectral
radii, which fit a well-organized pattern.
Archive classification: Functional Analysis; Spectral Theory
Mathematics Subject Classification: 46A03; 46H35; 47L10; 35P05
Remarks: 36 pages
The source file(s), radii-tvs.tex: 136897 bytes, is(are) stored in gzipped
form as 0004049.gz with size 35kb. The corresponding postcript file has
gzipped size 136kb.
Submitted from: vladimir at math.utexas.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0004049
or
http://xxx.lanl.gov/abs/math.FA/0004049
or by email in unzipped form by transmitting an empty message with
subject line
uget 0004049
or in gzipped form by using subject line
get 0004049
to: math at xxx.lanl.gov.
From alspach Fri Apr 14 09:02:32 2000
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Fri, 14 Apr 2000 09:02:32 -0500
Date: Fri, 14 Apr 2000 09:02:32 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200004141402.JAA28072 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by F. Bombal and I. Villanueva
Status: R
This is an announcement for the paper "On the Dunford-Pettis Property
of the tensor product of C(K) spaces" by F. Bombal and I. Villanueva.
Abstract: We characterize those compact Hausdorff spaces K such that
the proyective tensor product of C(K) by itself has the Dunford-Pettis
Property, answering thus in the negative a question posed by Castillo
and Gonzalez.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B28; 47B07
Remarks: 5 pages
The source file(s), dunpet.tex: 14137 bytes, is(are) stored in gzipped
form as 0004087.gz with size 5kb. The corresponding postcript file has
gzipped size 33kb.
Submitted from: fernando_bombal at mat.ucm.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0004087
or
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or by email in unzipped form by transmitting an empty message with
subject line
uget 0004087
or in gzipped form by using subject line
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to: math at xxx.lanl.gov.
From alspach Fri Apr 14 09:06:11 2000
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Fri, 14 Apr 2000 09:06:11 -0500
Date: Fri, 14 Apr 2000 09:06:11 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200004141406.JAA28202 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by Manuel Gonzalez and Joaquin M. Gutierrez
Status: R
This is an announcement for the paper "Surjective factorization of
holomorphic mappings" by Manuel Gonzalez and Joaquin M. Gutierrez.
Abstract: We characterize the holomorphic mappings $f$ between complex
Banach spaces that may be written in the form $f=T\circ g$, where $g$
is another holomorphic mapping and $T$ belongs to a closed surjective
operator ideal.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46G20; 47L20
Remarks: 8 pages
The source file(s), sfhm.tex: 26203 bytes, is(are) stored in gzipped
form as 0003124.gz with size 8kb. The corresponding postcript file has
gzipped size 49kb.
Submitted from: jgutierrez at math.etsii.upm.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0003124
or
http://xxx.lanl.gov/abs/math.FA/0003124
or by email in unzipped form by transmitting an empty message with
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or in gzipped form by using subject line
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to: math at xxx.lanl.gov.
From alspach Fri Apr 14 09:09:28 2000
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Fri, 14 Apr 2000 09:09:28 -0500
Date: Fri, 14 Apr 2000 09:09:28 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200004141409.JAA28254 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by Vladimir Pestov
Status: R
This is an announcement for the paper "Ramsey--Milman phenomenon, Urysohn
metric spaces, and extremely amenable groups" by Vladimir Pestov.
Abstract: In this paper we further study links between concentration of
measure in topological transformation groups, existence of fixed points,
and Ramsey-type theorems for metric spaces. We prove that whenever the
group $\Iso(\U)$ of isometries of Urysohn's universal complete separable
metric space $\mathbb U$, equipped with the compact-open topology,
acts upon an arbitrary compact space, it has a fixed point. The same is
true if $\U$ is replaced with any generalized Urysohn metric space $U$
that is sufficiently homogeneous. Modulo a recent theorem by Uspenskij
that every topological group embeds into a topological group of the form
$\Iso(U)$, our result implies that every topological group embeds into
an extremely amenable group (one admitting an invariant multiplicative
mean on bounded right uniformly continuous functions). By way of the
proof, we show that every topological group is approximated by finite
groups in a certain weak sense. Our technique also results in a new
proof of the extreme amenability (fixed point on compacta property) for
infinite orthogonal groups. Going in the opposite direction, we deduce
some Ramsey-type theorems for metric subspaces of Hilbert spaces and for
spherical metric spaces from existing results on extreme amenability of
infinite unitary groups and groups of isometries of Hilbert spaces.
Archive classification: Functional Analysis; Dynamical Systems; General
Topology
Mathematics Subject Classification: 22F05; 05C55; 28C10; 43A05; 43A07
Report Number: SMCS-VUW 00-8
Remarks: 31 pages, LaTeX 2e
The source file(s), urysohn.tex: 106876 bytes, is(are) stored in gzipped
form as 0004010.gz with size 33kb. The corresponding postcript file has
gzipped size 116kb.
Submitted from: vova at mcs.vuw.ac.nz
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0004010
or
http://xxx.lanl.gov/abs/math.FA/0004010
or by email in unzipped form by transmitting an empty message with
subject line
uget 0004010
or in gzipped form by using subject line
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to: math at xxx.lanl.gov.
From alspach Mon Apr 17 08:35:21 2000
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Mon, 17 Apr 2000 08:35:21 -0500
Date: Mon, 17 Apr 2000 08:35:21 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200004171335.IAA23075 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by Manuel Gonzalez and Joaquin M. Gutierrez
Status: R
This is an announcement for the paper "The Dunford-Pettis property on
tensor products" by Manuel Gonzalez and Joaquin M. Gutierrez.
Abstract: We show that, in some cases, the projective and the
injective tensor products of two Banach spaces do not have
the Dunford-Pettis property (DPP). As a consequence, we obtain
that $(c_0\widehat{\otimes}_\pi c_0)^{**}$ fails the DPP. Since
$(c_0\widehat{\otimes}_\pi c_0)^{*}$ does enjoy it, this provides a new
space with the DPP whose dual fails to have it. We also prove that, if $E$
and $F$ are ${\mathscr L}_1$-spaces, then $E\widehat{\otimes}_\epsilon F$
has the DPP if and only if both $E$ and $F$ have the Schur property. Other
results and examples are given.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B20; 46B28
Remarks: 9 pages
The source file(s), dpptp.tex: 32897 bytes, is(are) stored in gzipped
form as 0004101.gz with size 10kb. The corresponding postcript file has
gzipped size 57kb.
Submitted from: jgutierrez at math.etsii.upm.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0004101
or
http://xxx.lanl.gov/abs/math.FA/0004101
or by email in unzipped form by transmitting an empty message with
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From alspach Tue Apr 18 13:04:58 2000
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Tue, 18 Apr 2000 13:04:58 -0500
Date: Tue, 18 Apr 2000 13:04:58 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200004181804.NAA03416 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by Ioannis Gasparis
Status: R
This is an announcement for the paper "A continuum of totally incomparable
hereditarily indecomposable Banach spaces" by Ioannis Gasparis.
Abstract: A family is constructed of cardinality equal to the continuum,
whose members are totally incomparable, reflexive, hereditarily
indecomposable Banach spaces.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B03
Remarks: 18 pages, AMS-LaTeX
The source file(s), tsir1.tex: 66763 bytes, is(are) stored in gzipped
form as 0004106.gz with size 19kb. The corresponding postcript file has
gzipped size 91kb.
Submitted from: ioagaspa at math.okstate.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0004106
or
http://xxx.lanl.gov/abs/math.FA/0004106
or by email in unzipped form by transmitting an empty message with
subject line
uget 0004106
or in gzipped form by using subject line
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Reply-to: Carl Cowen <cowen at math.purdue.edu>
To: banach at math.okstate.edu
Subject: Wabash Modern Analysis Miniconference
Date: Sun, 23 Apr 2000 16:09:59 -0500
From: Dale Alspach <alspach at ms417l.math.okstate.edu>
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************************************
WABASH MODERN ANALYSIS MINICONFERENCE OCTOBER 14, 15 AT IUPUI
# The Wabash Modern Analysis Miniconference will be held October 14 and 15
# at Indiana University - Purdue University at Indianapolis. There will
# be 7 hour speakers and a number of contributed 20 minute talks.
# An announcement including a pre-registration form and a form to contribute
# a 20 minute contributed paper at the conference will sent to those on
# the mailing list in late August. To be put on the mailing list, send email
# to cowen at math.purdue.edu For up-to-date information on speakers, abstracts,
# hotel, etc., check the Wabash Web site:
# http://www.math.purdue.edu/~cowen/Wabash.html
#
#
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From alspach Tue Apr 25 09:19:26 2000
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Date: Tue, 25 Apr 2000 09:19:26 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200004251419.JAA27971 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by Narcisse Randrianantoanina
Status: R
This is an announcement for the paper "Compact range property and
operators on $C^*$-algebras" by Narcisse Randrianantoanina.
Abstract: We prove that a Banach space $E$ has the compact range
property (CRP) if and only if for any given $C^*$-algebra $\cal A$,
every absolutely summing operator from $\cal A$ into $E$ is compact.
Archive classification: Functional Analysis
Remarks: 8 pages
The source file(s), absum3.tex: 19579 bytes, is(are) stored in gzipped
form as 0004145.gz with size 7kb. The corresponding postcript file has
gzipped size 86kb.
Submitted from: randrin at muohio.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0004145
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From alspach Tue Apr 25 09:20:36 2000
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Tue, 25 Apr 2000 09:20:36 -0500
Date: Tue, 25 Apr 2000 09:20:36 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200004251420.JAA28023 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by Narcisse Randrianantoanina
Status: R
This is an announcement for the paper "Sequences in non-commutative
$L^p$-spaces" by Narcisse Randrianantoanina.
Abstract: Let $\cal M$ be a semi-finite von Neumann algebra equipped
with a distinguished faithful, normal, semi-finite trace $\tau$. We
introduce the notion of equi-integrability in non-commutative spaces
and show that if a rearrangement invariant quasi-Banach function space
$E$ on the positive semi-axis is $\alpha$-convex with constant $1$ and
satisfies a non-trivial lower $q$-estimate with constant $1$, then the
corresponding non-commutative space of measurable operators $E({\cal M},
\tau)$ has the following property: every bounded sequence in $E({\cal M},
\tau)$ has a subsequence that splits into a $E$-equi-integrable sequence
and a sequence with pairwise disjoint projection supports. This result
extends the well known Kadec-Pe\l czy\'nski subsequence decomposition
for Banach lattices to non-commutative spaces. As applications, we prove
that for $1\leq p <\infty$, every subspace of $L^p(\cal M, \tau)$ either
contains almost isometric copies of $\ell^p$ or is strongly embedded in
$L^p(\cal M, \tau)$.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46L50,47D15
Remarks: 18 pages
The source file(s), decomp.tex: 60323 bytes, is(are) stored in gzipped
form as 0004144.gz with size 16kb. The corresponding postcript file has
gzipped size 83kb.
Submitted from: randrin at muohio.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0004144
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http://xxx.lanl.gov/abs/math.FA/0004144
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From alspach Tue Apr 25 09:21:41 2000
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Tue, 25 Apr 2000 09:21:41 -0500
Date: Tue, 25 Apr 2000 09:21:41 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200004251421.JAA28065 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by Narcisse Randrianantoanina
Status: R
This is an announcement for the paper "Embeddings of $\ell_p$ into
non-commutative spaces" by Narcisse Randrianantoanina.
Abstract: Let $\M$ be a semi-finite von Neumann algebra equipped with
a faithful normal trace $\tau$. We study the subspace structures of
non-commutative Lorentz spaces $L_{p,q}(\M, \tau)$, extending results of
Carothers and Dilworth to the non-commutative settings. In particular,
we show that, under natural conditions on indices, $\ell_p$ can not be
embedded into $L_{p,q}(\M, \tau)$. As applications, we prove that for
$0<p<\infty$ with $p \neq 2$ then $\ell_p$ cannot be strongly embedded
into $L_p(\M,\tau)$. Thus providing a non-commutative extension of a
result of Kalton for $0<p<1$ and a result of Rosenthal for $1\leq p <2$
on $L_p[0,1]$.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46L50; 47D15
Remarks: 21 pages
The source file(s), embed.tex: 60865 bytes, is(are) stored in gzipped
form as 0004146.gz with size 17kb. The corresponding postcript file has
gzipped size 88kb.
Submitted from: randrin at muohio.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0004146
or
http://xxx.lanl.gov/abs/math.FA/0004146
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From alspach Thu Apr 27 10:58:21 2000
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Thu, 27 Apr 2000 10:58:21 -0500
Date: Thu, 27 Apr 2000 10:58:21 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200004271558.KAA24619 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by Maria Girardi
Status: R
This is an announcement for the paper "The dual of the James Tree space
is asymptotically uniformly convex" by Maria Girardi.
Abstract: The dual of the James Tree space is asymptotically uniformly
convex.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B20 (primary); 46B22, 46B99
(secondary)
Remarks: 13 pages. See also http://www.math.sc.edu/~girardi/
The source file(s), z.tex: 33436 bytes, is(are) stored in gzipped form as
0004166.gz with size 11kb. The corresponding postcript file has gzipped
size 57kb.
Submitted from: girardi at math.sc.edu
The paper may be downloaded from the archive by web browser from URL
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or
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From alspach Fri Apr 28 08:13:14 2000
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Fri, 28 Apr 2000 08:13:13 -0500
Date: Fri, 28 Apr 2000 08:13:13 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200004281313.IAA03462 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by S. J. Dilworth, Maria Girardi and J. Hagler
Status: R
This is an announcement for the paper "Dual Banach spaces which contain an
isometric copy of $L_1$" by S. J. Dilworth, Maria Girardi and J. Hagler .
Abstract: A Banach space contains asymptotically isometric copies
of $\ell_1$ if and only if its dual space contains an isometric copy
of $L_1$.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B04 (primary) ; 46B20 (secondary)
Remarks: 12 pages
The source file(s), 990704.tex: 37980 bytes, is(are) stored in gzipped
form as 0004168.gz with size 12kb. The corresponding postcript file has
gzipped size 61kb.
Submitted from: girardi at math.sc.edu
The paper may be downloaded from the archive by web browser from URL
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From alspach Wed May 3 08:40:06 2000
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Wed, 3 May 2000 08:40:06 -0500
Date: Wed, 3 May 2000 08:40:06 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200005031340.IAA23225 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by Denny H. Leung and Wee-Kee Tang
Status: R
This is an announcement for the paper "Functions of Baire class one"
by Denny H. Leung and Wee-Kee Tang.
Abstract: Let $K$ be a compact metric space. A real-valued function on
$K$ is said to be of Baire class one (Baire-$1$) if it is the pointwise
limit of a sequence of continuous functions. In this paper, we study
two well known ordinal indices of Baire-$1$ functions, the oscillation
index $\beta$ and the convergence index $\gamma$. It is shown that
these two indices are fully compatible in the following sense : a
Baire-$1$ function $f$ satisfies $\beta(f) \leq \omega^{\xi_1} \cdot
\omega^{\xi_2}$ for some countable ordinals $\xi_1$ and $\xi_2$ if and
only if there exists a sequence of Baire-$1$ functions $(f_n)$ converging
to $f$ pointwise such that $\sup_n\beta(f_n) \leq \omega^{\xi_1}$
and $\gamma((f_n)) \leq \omega^{\xi_2}$. We also obtain an extension
result for Baire-$1$ functions analogous to the Tietze Extension
Theorem. Finally, it is shown that if $\beta(f) \leq \omega^{\xi_1}$
and $\beta(g) \leq \omega^{\xi_2},$ then $\beta(fg) \leq \omega^{\xi},$
where $\xi=\max\{\xi_1+\xi_2,\,\xi_2+\xi_1}\}.$ These results do not
assume the boundedness of the functions involved.
Archive classification: Classical Analysis; Functional Analysis
Mathematics Subject Classification: 26A21, 03E15, 54C30
The source file(s), Baire.TEX: 83397 bytes, is(are) stored in gzipped
form as 0005013.gz with size 18kb. The corresponding postcript file has
gzipped size 93kb.
Submitted from: matlhh at nus.edu.sg
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From alspach Mon May 8 08:26:44 2000
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Mon, 8 May 2000 08:26:44 -0500
Date: Mon, 8 May 2000 08:26:44 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200005081326.IAA00834 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by S.V.Astashkin
Status: R
This is an announcement for the paper "Disjointly strictly singular
inclusions of symmetric spaces" by S.V.Astashkin.
Abstract: A condition for the presence of a "gap" between symmetric spaces
sufficient for the inclusion of one of these spaces into the other to be
disjointly strictly singular is found. This condition is stated in terms
of fundamental functions of spaces and is exact in a certain sense. In
parallel, necessary and sufficient conditions for an inclusion of Lorentz
spaces to be disjointly strictly singular are obtained.
Archive classification: Functional Analysis; Classical Analysis
Mathematics Subject Classification: 46B42 (primary), 46B20 (secondary)
Citation: Mathematical Notes, V. 65, No. 1 (1999), P. 3 -- 12
Remarks: 12 pages
The source file(s), Dss.tex: 29639 bytes, is(are) stored in gzipped
form as 0005027.gz with size 10kb. The corresponding postcript file has
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Submitted from: astashkn at ssu.samara.ru
The paper may be downloaded from the archive by web browser from URL
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From alspach Thu May 11 13:19:38 2000
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Thu, 11 May 2000 13:19:38 -0500
Date: Thu, 11 May 2000 13:19:38 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200005111819.NAA03384 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by Gilles Pisier
Status: R
This is an announcement for the paper "Similarity problems and length"
by Gilles Pisier.
Abstract: This is a survey of the author's recent results on the Kadison
and Halmos similarity problems and the closely connected notion of
``length'' of an operator algebra.
Archive classification: Operator Algebras; Functional Analysis
Mathematics Subject Classification: 47D25
The source file(s), taiwan: 39983 bytes, is(are) stored in gzipped form as
0005077.gz with size 15kb. The corresponding postcript file has gzipped
size 58kb
Submitted from: gip at ccr.jussieu.fr
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From alspach Thu May 11 13:21:06 2000
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Thu, 11 May 2000 13:21:06 -0500
Date: Thu, 11 May 2000 13:21:06 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200005111821.NAA03436 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by Nakhle Asmar and Stephen Montgomery-Smith
Status: R
This is an announcement for the paper "Decomposition of analytic
measures on groups and measure spaces" by Nakhle Asmar and Stephen
Montgomery-Smith.
Abstract: This paper provides a new approach to proving generalizations
of the F.&M. Riesz Theorem, for example, the result of Helson and
Lowdenslager, the result of Forelli (and de Leeuw and Glicksberg),
and more recent results of Yamagushi. We study actions of a locally
compact abelian group with ordered dual onto a space of measures, and
consider those measures that are analytic, that is, the spectrum of the
action on the measure is contained within the positive elements of the
dual of the group. The classical results tell us that the singular and
absolutely continuous parts of the measure (with respect to a suitable
measure) are also analytic. The approach taken in this paper is to
adopt the transference principle developed by the authors and Saeki in
another paper, and apply it to martingale inequalities of Burkholder
and Garling. In this way, we obtain a decomposition of the measures,
and obtain the above mentioned results as corollaries.
Archive classification: Functional Analysis
Mathematics Subject Classification: 43A05 43A17 43A45 43A46
Remarks: Also available at
http://www.math.missouri.edu/~stephen/preprints/
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Reply-to: Bill Johnson <Bill.Johnson at math.tamu.edu>
To: banach at math.okstate.edu
Subject: Workshop at A&M
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Date: Thu, 11 May 2000 11:44:31 -0500
From: Dale Alspach <alspach at math.okstate.edu>
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Workshop in Linear Analysis and Probability
Department of Mathematics
Texas A&M University
Summer 2000
The Summer 2000 session of the Workshop in Linear Analysis and
Probability at Texas A&M University will be in session from July 10
until August 18. SUMIRFAS will be held August 11-13. For inform-
ation about the Workshop, consult the Workshop Home Page, URL
http://www.math.tamu.edu/research/workshops/linanalysis/
The Workshop is supported in part by grants from the National
Science Foundation. Limited support for local expenses is available.
For logistical help, including requests for support, please contact
Cheryl Rogers (cherylr at math.tamu.edu). For more information on
the Workshop itself, please contact William Johnson
(johnson at math.tamu.edu), David Larson (larson at math.tamu.edu),
Gilles Pisier (pisier at math.tamu.edu), or Joel Zinn
(jzinn at math.tamu.edu).
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To: banach at math.okstate.edu
Reply-to: Yves RAYNAUD <yr at ccr.jussieu.fr>
Subject: european postdoc at Paris6
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Date: Tue, 16 May 2000 07:17:59 -0500
From: Dale Alspach <alspach at math.okstate.edu>
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<bold>Postdoctoral Position Available</bold>
EEC Research Training Network '' Classical Analysis, Operator Theory,
Geometry of Banach spaces, their interplay and their applications'',
contract N=BA HPRN-CT-2000-00116
A postdoctoral position is available at the Equipe d'Analyse of the
University Paris-6 from September 2000 to August 2001, related to the
above-referenced Research Training Network of the European Commission.
Applicants must be citizens of a Member State of the Community (except
France) or of an Associated State (see list below), or have resided in
the Community for at least five years at the time of appointment. They
must be 35 years old or younger at the time of appointment, and have
obtained a PhD in mathematics.
The amount of the grant will be close to 1800 euros/month (social
security charges deducted). Relocation costs at the beginning of the
stay will be reimbursed within the limit of 900 euros. During the stay
an additional return trip to the country of origin (European or
Associated state) can be paid.
Researchers in any area of mathematics covered by the network will be
considered, but the following mathematical themes are closer to the
mathematicians of the local node of the network (which includes also a
significant part of the Equipe d'Analyse et Probabilites appliquees of
the University of Marne-la-Vallee) :
*Geometry of Banach spaces
*Operator spaces, non commutative L_p spaces and non commutative
probability
*Convex sets (and related questions in Riemannian Geometry)
*Geometric inequalities; isoperimetric problems
Applicants are requested to provide the following documents:
* Research project of the candidate
* Curriculum vitae and list of publications
* A copy of passport or identity card
These documents should be sent to the node coordinator, Yves Raynaud,
and to the project coordinator, Jean Esterle, at the addresses given
below. They should arrive before <bold>June 10</bold>.
Yves Raynaud Equipe d'Analyse
Universite Paris 6
4, place Jussieu
75252 Paris Cedex 05
France
E-mail: yr at ccr.jussieu.fr
Fax: 33 1 44 27 25 55
Jean Esterle
Laboratoire de Mathematiques Pures
351 Cours de la Liberation
33405 Talence, France
E-mail: esterle at math-u-bordeaux.fr
The principal nodes of the network, with main contact person, are the
following:
Bordeaux Nikolai Nikolski nikolski at math.u-bordeaux.fr
Amsterdam Marinus Kaashoek Kaash at few.vu.nl
Barcelona Joaquim Bruna bruna at mat.uab.es
Dublin Stephen Gardiner stephen.gardinaer at ucd.ie
Leeds Jonathan Partington j.r.partington at adm.leeds.ac.uk
Paris Yves Raynaud yr at ccr.jussieu.fr
Trondheim Kristian Seip seip at math.ntnu.no
Vienna Heinz Langer heinz.langer at tuwien.ac.at
Tel Aviv Aharon Atzmon aatzmon at math.tau.ac.il
St.Petersburg Sergei Kislyakov skis at pdmi.ras.ru
<bold>List of Associated States</bold> (at 16.03.2000)
Bulgaria, Republic of Cyprus, Czech Republic, Estonia, Hungary, Latvia,
Lithuania, Poland, Romania, Slovakia, Slovenia.
Iceland, Liechtenstein, Norway.
Israel.
From alspach Wed May 17 08:12:35 2000
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Date: Wed, 17 May 2000 08:12:35 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
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To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by U. Haagerup, H.P. Rosenthal and F.A. Sukochev
Status: R
This is an announcement for the paper "Banach embedding properties
of non-commutative L^p-spaces" by U. Haagerup, H.P. Rosenthal and
F.A. Sukochev.
Abstract: Let N and M be von Neumann algebras. It is proved that
L^p(N) does not Banach embed in L^p(M) for N infinite, M finite, 1 <
or = p < 2. The following considerably stronger result is obtained
(which implies this, since the Schatten p-class C_p embeds in L^p(N)
for N infinite). Theorem: Let 1 < or = p < 2 and let X be a Banach
space with a spanning set (x_{ij}) so that for some C < or = 1:
(i) any row or column is C-equivalent to the usual ell^2-basis; (ii)
(x_{i_k,j_k}) is C-equivalent to the usual ell^p-basis, for any i_1 <
i_2 < ... and j_1 < j_2 < ... . Then X is not isomorphic to a subspace
of L^p(M), for M finite. Complements on the Banach space structure
of non-commutative L^p-spaces are obtained, such as the p-Banach-Saks
property and characterizations of subspaces of L^p(M) containing ell^p
isomorphically. The spaces L^p(N) are classified up to Banach isomorphism,
for N infinite-dimensional, hyperfinite and semifinite, 1 < or = p< infty,
p not= 2. It is proved that there are exactly thirteen isomorphism types;
the corresponding embedding properties are determined for p < 2 via
an eight level Hasse diagram. It is also proved for all 1 < or = p <
infty that L^p(N) is completely isomorphic to L^p(M) if N and M are the
algebras associated to free groups, or if N and M are injective factors
of type III_lambda and III_{lambda'} for 0 < lambda, lambda' < or = 1.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B20, 46L10, 46L52, 47L25 (Primary)
Report Number: ut-ma/00-03
Remarks: 54 pp., LaTeX
The source file(s), hrs-LANL.tex: 200993 bytes, is(are) stored in gzipped
form as 0005150.gz with size 57kb. The corresponding postcript file has
gzipped size 209kb
Submitted from: combs at math.utexas.edu
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http://front.math.ucdavis.edu/math.FA/0005150
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Reply-to: Bill Johnson <Bill.Johnson at math.tamu.edu>
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Subject: Workshop at A&M
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Date: Thu, 11 May 2000 11:44:31 -0500
From: Dale Alspach <alspach at math.okstate.edu>
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Workshop in Linear Analysis and Probability
Department of Mathematics
Texas A&M University
Summer 2000
The Summer 2000 session of the Workshop in Linear Analysis and
Probability at Texas A&M University will be in session from July 10
until August 18. SUMIRFAS will be held August 11-13. For inform-
ation about the Workshop, consult the Workshop Home Page, URL
http://www.math.tamu.edu/research/workshops/linanalysis/
The Workshop is supported in part by grants from the National
Science Foundation. Limited support for local expenses is available.
For logistical help, including requests for support, please contact
Cheryl Rogers (cherylr at math.tamu.edu). For more information on
the Workshop itself, please contact William Johnson
(johnson at math.tamu.edu), David Larson (larson at math.tamu.edu),
Gilles Pisier (pisier at math.tamu.edu), or Joel Zinn
(jzinn at math.tamu.edu).
From alspach Tue May 23 08:22:08 2000
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Date: Tue, 23 May 2000 08:22:08 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200005231322.IAA23108 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by C. A. Akemann, G. C. Shell, and N. Weaver
Status: R
This is an announcement for the paper "Locally nonconical convexity"
by C. A. Akemann, G. C. Shell, and N. Weaver.
Abstract: There is a hierarchy of structure conditions for convex sets. In
this paper we study a recently defined [3, 8, 9] condition called locally
nonconical convexity (abbreviated LNC). Is is easy to show that every
strictly convex set is LNC, as are half-spaces and finite intersections of
sets of either of these types, but many more sets are LNC. For instance,
every zonoid (the range of a nonatomic vector-valued measure) is LNC
(Corollary 34). However, there are no infinite-dimensional compact LNC
sets (Theorem 23).
The LNC concept originated in a search for continuous sections, and the
present paper shows how it leads naturally (and constructively) to
continuous sections in a variety of situations. Let Q be a compact,
convex set in R<sup>n</sup>, and let T be a linear map from R<sup>n</sup>
into R<sup>m</sup>. We show (Theorem 1) that Q is LNC if and only if
the restriction of any such T to Q is an open map of Q onto T(Q). This
implies that if Q is LNC, then any such T has continuous sections
(i.e. there are continuous right inverses of T) that map from T(Q) to Q,
and in fact it is possible to define continuous sections constructively
in various natural ways (Theorem 3, Corollary 4, and Theorem 5). If Q is
strictly convex and T is not 1-1, we can construct continuous sections
which take values in the boundary of Q (Theorem 6).
When we give up compactness it is natural to consider a closed,
convex, LNC
subset Q of a Hilbert space X which may be infinite-dimensional. In
this case we must assume that T is left Fredholm, i.e. a bounded linear
map with closed range and finite-dimensional kernel. We can then prove
results analogous to those mentioned in the last paragraph (Theorems
16-20). We also prove that T(Q) is LNC (Theorem 25).
Archive classification: Functional Analysis; Metric Geometry
Mathematics Subject Classification: 52A20, 52A07, 46A55, 46C05
Remarks: 23 pages
The source file(s), lnc4.tex: 71910 bytes, is(are) stored in gzipped
form as 0005194.gz with size 21kb. The corresponding postcript file has
gzipped size 81kb.
Submitted from: nweaver at sulu.wustl.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0005194
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From alspach Fri Jun 9 15:24:01 2000
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Fri, 9 Jun 2000 15:24:01 -0500
Date: Fri, 9 Jun 2000 15:24:01 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200006092024.PAA23380 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by Vladimir Kadets, Roman Shvidkoy, and Dirk Werner
Status: R
This is an announcement for the paper "A general approach to narrow
operators and rich subspaces of Banach spaces" by Vladimir Kadets,
Roman Shvidkoy, and Dirk Werner.
Abstract: Let $X$ be a Banach space. We introduce a formal approach which
seems to be useful in the study of those properties of operators on $X$
which depend only on the norms of elements. This approach is applied to
the Daugavet equation for norms of operators; in particular we develop a
general theory of narrow operators and rich subspaces of $X$ previously
studied in the context of the classical spaces $C(K)$ and $L_1(\mu)$.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B20; 46B04; 47B38
Remarks: LaTeX2e, 26 pages
The source file(s), dauga6.tex: 85184 bytes, is(are) stored in gzipped
form as 0005278.gz with size 25kb. The corresponding postcript file has
gzipped size 99kb.
Submitted from: dirk.werner at nuigalway.ie
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0005278
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http://xxx.lanl.gov/abs/math.FA/0005278
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From alspach Fri Jun 9 15:28:04 2000
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Fri, 9 Jun 2000 15:28:04 -0500
Date: Fri, 9 Jun 2000 15:28:04 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200006092028.PAA23462 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by Andreas Defant, Mieczyslaw Mastylo and Carsten Michels
Status: R
This is an announcement for the paper "Summing inclusion maps between
symmetric sequence spaces" by Andreas Defant, Mieczyslaw Mastylo and
Carsten Michels.
Abstract: We prove a substantial extension of a well-known result due to
Bennett and Carl: The inclusion of a 2-concave symmetric Banach sequence
space E into l_2 is (E,1)-summing, i.e. for every unconditionally summable
sequence (x_n) in E the scalar sequence (||x_n||_2) is contained in
E. Various applications are given, e.g. to the theory of eigenvalue
distribution of compact operators and approximation theory.
Archive classification: Functional Analysis
Remarks: 22 pages
The source file(s), Catmac.sty: 32784 bytes, dmm2000.tex: 63845 bytes,
is(are) stored in gzipped form as 0006034.tar.gz with size 25kb. The
corresponding postcript file has gzipped size 91kb.
Submitted from: michels at mathematik.uni-oldenburg.de
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http://front.math.ucdavis.edu/math.FA/0006034
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From alspach Tue Jun 20 11:47:28 2000
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Tue, 20 Jun 2000 11:47:28 -0500
Date: Tue, 20 Jun 2000 11:47:28 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200006201647.LAA05884 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by S.V.Astashkin
Status: R
This is an announcement for the paper "Rademacher chaos in symmetric
spaces" by S.V.Astashkin.
Abstract: Necessary and sufficient conditions for the equivalence of
the Rademacher chaos to the canonical basis of l_2 and also for the
complementability of the corresponding generated subspace are derived. In
particular, we obtain the unimprovability of the exponential integrability
of functions from this space.
Archive classification: Functional Analysis; Classical Analysis
Mathematics Subject Classification: 46B20 (primary), 42A55, 42A61
(secondary)
Citation: East J. on approx., V.4, No. 3 (1998), 311 -- 336
Remarks: 26 pages
The source file(s), Art1.tex: 48703 bytes, is(are) stored in gzipped
form as 0006129.gz with size 16kb. The corresponding postcript file has
gzipped size 84kb.
Submitted from: astashkn at ssu.samara.ru
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0006129
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From alspach Tue Jun 20 11:49:50 2000
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Date: Tue, 20 Jun 2000 11:49:49 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200006201649.LAA05926 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by P. G. Casazza, C. L. Garcia and W. B. Johnson
Status: R
This is an announcement for the paper "An example of an asymptotically
Hilbertian space which fails the approximation property" by
P. G. Casazza, C. L. Garcia and W. B. Johnson.
Abstract: Following Davie's example of a Banach space failing the
approximation property [D], we show how to construct a Banach space
E which is asymptotically Hilbertian and fails the approximation
property. Moreover, the space E is shown to be a subspace of a space
with an unconditional basis which is ``almost'' a weak Hilbert space
and which can be written as the direct sum of two subspaces all of whose
subspaces have the approximation property.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B20; 46B07
Remarks: 7 pages
The source file(s), casgarjohn.ltx: 20142 bytes, is(are) stored in
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file has gzipped size 40kb.
Submitted from: cesar.garcia at math.tamu.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0006134
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http://xxx.lanl.gov/abs/math.FA/0006134
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From alspach Mon Jul 10 12:04:16 2000
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Mon, 10 Jul 2000 12:04:15 -0500
Date: Mon, 10 Jul 2000 12:04:15 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200007101704.MAA17282 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by S.V.Astashkin
Status: R
This is an announcement for the paper "Rademacher chaos in symmetric
spaces,2" by S.V.Astashkin.
Abstract: It is shown that a specific ordering of the Rademacher chaos
leads to a basic sequence in a wide class of symmetric spaces on the
segment [0,1]. Necessary and sufficient conditions on a such space are
found for Rademacher chaos to possess the unconditionality property.
Archive classification: Functional Analysis; Classical Analysis
Mathematics Subject Classification: 46B20 (primary), 42A55,42A61
(secondary)
Citation: East J. on Approx., V.6, No.1 (2000), 71 - 86
Remarks: 14 pages
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Submitted from: astashkn at ssu.samara.ru
The paper may be downloaded from the archive by web browser from URL
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Subject: SUMIRFAS
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Date: Tue, 11 Jul 2000 11:35:00 -0500
From: Dale Alspach <alspach at math.okstate.edu>
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ANNOUNCEMENT OF SUMIRFAS '00
The
Informal Regional Functional Analysis Seminar
August 11-13
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/
The Home Page also contains other information about the Workshop, including
a list of participants and a schedule of seminars.
Housing: Contact Cheryl Rogers, (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. Rooms in
CS are tight the weekend of SUMIRFAS as this is graduation weekend,
so please act ASAP.
Dinner: There will be a dinner at 6:30 p.m. on Saturday, August 12, 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 Rogers 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 AUGUST 9
and PAYMENT MADE BY AUGUST 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
From alspach Thu Jul 13 20:55:32 2000
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Date: Thu, 13 Jul 2000 20:55:32 -0500
From: Dale Alspach <alspach at localhost.localdomain>
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To: alspach at localhost.localdomain, banach at math.okstate.edu
Subject: Abstract of a paper by S.J. Montgomery-Smith and E.M. Semenov
Status: RO
This is an announcement for the paper "Embeddings of rearrangement
invariant spaces that are not strictly singular" by
S.J. Montgomery-Smith and E.M. Semenov.
Abstract: We give partial answers to the following conjecture: the
natural embedding of a rearrangement invariant space E into L_1([0,1])
is strictly singular if and only if G does not embed into E continuously,
where G is the closure of the simple functions in the Orlicz space L_Phi
with Phi(x) = exp(x^2)-1.
Archive classification: Functional Analysis; Probability Theory
Mathematics Subject Classification: Primary 46E30, 47B38; Secondary 60G50
Remarks: Also available at http://www.math.missouri.edu/~stephen/preprints
The source file(s), strict4/000readme: 42 bytes, strict4/00readme:
733 bytes, strict4/klu10.clo: 8981 bytes, strict4/klu105.clo:
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21563 bytes, strict4/klufloa.sty: 26912 bytes, strict4/klulist.sty:
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15411 bytes, strict4/klunamed.bst: 20472 bytes, strict4/klunote.sty:
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bytes, strict4/klut9.clo: 9064 bytes, strict4/klutab.sty: 8162 bytes,
strict4/kluwer.cls: 4668 bytes, strict4/strict4.tex: 14699 bytes, is(are)
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postcript file has gzipped size 40kb.
Submitted from: stephen at math.missouri.edu
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To: banach at math.okstate.edu
Reply-to: Konference June Paseky <pasejune at karlin.mff.cuni.cz>
Subject: Spring School on Function Spaces and Interpolation Paseky 2001
Date: Thu, 27 Jul 2000 07:56:12 -0500
From: Dale Alspach <alspach at math.okstate.edu>
Sender: owner-banach at mail.math.okstate.edu
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Spring School on Function Spaces and Interpolation
First Announcement
Dear Colleague,
Following a longstanding tradition, the Faculty of Mathematics and
Physics of Charles University in Prague will organize a
Spring School on Function Spaces and Interpolation.
The School will be held at Paseky nad Jizerou, in a chalet
in the Krkonose Mountains, May 27 - June 2, 2001. The program will
consist of the following series of lectures:
Andrea Cianchi (University of Florence, Italy):
Rearrangement estimates and applications to Sobolev and related
inequalities,
Michael Cwikel (Technion, Haifa, Israel):
Calderon couples and K-divisibility,
Mario Milman (Florida Atlantic University, Boca Raton, U.S.A.):
Extrapolation: New results and Applications.
More details and the registration form can be found at the URL address
http://www.karlin.mff.cuni.cz/katedry/kma/ss/jun01/ss.htm
The conference fee will be approximately USD 340. A discount will
be offered provided that a letter guaranteeing participation
reaches the organizers before February 15, 2001. The conference
fee includes all local expenses (room and board) and
transportation between Prague and Paseky. The fee for accompanying
persons is the same.
The organizers may provide financial support to a limited number
of students. Applications must be sent before February 15, 2001.
The village of Paseky lies in the slopes of the Krkonose Mountains
in North Bohemia. Accommodation consists of rooms for two or three
people. There are excellent facilities and conditions for sporting
activities: hiking trips, soccer, mini-golf and sauna.
A special bus from Prague to Paseky will leave at 4 p.m. on May
27, 2001. The bus from Paseky will arrive in Prague on June 2,
2001 at 11.30 a.m.
Kindly inform your colleagues and students interested in this field.
We look forward to meeting you in the Czech Republic.
Jaroslav Lukes, Lubos Pick
Mailing address:
Katedra matematicke analyzy
Matematicko-fyzikalni fakulta UK
Sokolovska 83
186 75 Praha 8
Czech Republic
Phone/Fax: +420 - 2 - 232 3390
E-mail: pasejune at karlin.mff.cuni.cz
From alspach Wed Aug 2 12:52:44 2000
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Date: Wed, 2 Aug 2000 12:52:44 -0500
From: Dale Alspach <alspach at localhost.localdomain>
Message-Id: <200008021752.MAA11462 at localhost.localdomain>
To: alspach at localhost.localdomain, banach at math.okstate.edu
Subject: Abstract of a paper by Jesus Bastero, Fernando Galve, Ana Pena, and Miguel Romance
Status: R
This is an announcement for the paper "Inequalities for the Gamma function
and estimates for the volume of sections of $B_p^n$" by Jesus Bastero,
Fernando Galve, Ana Pena, and Miguel Romance.
Abstract: We consider $k$-dimensional central sections of the unit
ball of $\ell_p^n$ (denoted $B_p^n$) and we prove that their volume are
bounded by the volume of $B_p^n$ whenever $1<p<2$ and $1\le k\le (n-1)/2$
or $k=n-1$. We also consider $0<p<1$ and other cases. We obtain sharp
inequalities involving Gamma Function in order to get these results.
Archive classification: Functional Analysis
Mathematics Subject Classification: 52A20; 33B15; 46B20
Remarks: 10 pages
The source file(s), Gamma_Function.TEX: 26017 bytes, is(are) stored in
gzipped form as 0008007.gz with size 9kb. The corresponding postcript
file has gzipped size 52kb.
Submitted from: mromance at posta.unizar.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0008007
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http://arXiv.org/abs/math.FA/0008007
or by email in unzipped form by transmitting an empty message with
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From alspach Fri Aug 4 15:55:42 2000
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Fri, 4 Aug 2000 15:55:42 -0500
Date: Fri, 4 Aug 2000 15:55:42 -0500
From: Dale Alspach <alspach at localhost.localdomain>
Message-Id: <200008042055.PAA30529 at localhost.localdomain>
To: alspach at localhost.localdomain, banach at math.okstate.edu
Subject: Abstract of a paper by Edward G. Effros, Marius Junge and Zhong-Jin Ruan
Status: R
This is an announcement for the paper "Integral mappings and the principle
of local reflexivity for noncommutative L^1-spaces" by Edward G. Effros,
Marius Junge and Zhong-Jin Ruan.
Abstract: The operator space analogue of the {\em strong form} of the
principle of local reflexivity is shown to hold for any von Neumann
algebra predual, and thus for any $C^{*}$-algebraic dual. This is
in striking contrast to the situation for $C^{*}$-algebras, since,
for example, $K(H)$ does not have that property. The proof uses the
Kaplansky density theorem together with a careful analysis of two notions
of integrality for mappings of operator spaces.
Archive classification: Operator Algebras; Functional Analysis
Mathematics Subject Classification: 47D15; 46B07; 46B08
Citation: Ann. of Math. (2) 151 (2000), no. 1, 59--92
Remarks: 33 pages
The source file(s), amltd.sty: 33978 bytes, effros.tex: 106087 bytes,
is(are) stored in gzipped form as 0008032.tar.gz with size 36kb. The
corresponding postcript file has gzipped size 105kb.
Submitted from: ege at math.ucla.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.OA/0008032
or
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From alspach Tue Aug 8 15:27:29 2000
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Tue, 8 Aug 2000 15:27:29 -0500
Date: Tue, 8 Aug 2000 15:27:29 -0500
From: Dale Alspach <alspach at localhost.localdomain>
Message-Id: <200008082027.PAA01296 at localhost.localdomain>
To: alspach at localhost.localdomain, banach at math.okstate.edu
Subject: Abstract of a paper by S.V.Astashkin
Status: R
This is an announcement for the paper "Selection of subsystems of
random variables equivalent in distribution to the Rademacher system"
by S.V.Astashkin.
Abstract: We present necessary and sufficient conditions on systems of
random variables for them to possess a lacunary subsystem equivalent in
distribution to the Rademacher system on the segment [0,1]. In particular,
every uniformly bounded orthonormal system has this property. Furthermore,
an arbitrary finite uniformly bounded orthonormal set of N functions
contains a subset of "logarithmic" density equivalent in distribution
to the corresponding set of Rademacher functions, with a constant
independent of N. A connection between the tail distribution and the
L_p-norms of polynomials with respect to systems of random variables
exploited. We use also these results to study K-closed representability
of some Banach couples.
Archive classification: Functional Analysis; Classical Analysis
Mathematics Subject Classification: 42A55 (primary), 42A61,46B70
(secondary)
Citation: Matemat. Sbornik, V.191, No.6 (2000), 3-30 (in Russian)
Remarks: 26 pages
The source file(s), Art4.tex: 63270 bytes, is(are) stored in gzipped
form as 0008053.gz with size 19kb. The corresponding postcript file has
gzipped size 99kb.
Submitted from: astashkn at ssu.samara.ru
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0008053
or
http://arXiv.org/abs/math.FA/0008053
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From alspach Tue Aug 15 14:06:34 2000
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Tue, 15 Aug 2000 14:06:34 -0500
Date: Tue, 15 Aug 2000 14:06:34 -0500
From: Dale Alspach <alspach at localhost.localdomain>
Message-Id: <200008151906.OAA05469 at localhost.localdomain>
To: alspach at localhost.localdomain, banach at math.okstate.edu
Subject: Abstract of a paper by E. Munoz-Garcia
Status: R
This is an announcement for the paper "Rigidity of AMN vector spaces"
by E. Munoz-Garcia.
Abstract: A metric vector space is asymptotically metrically normable
(AMN) if there exists a norm asymptotically isometric to the distance. We
prove that AMN vector spaces are rigid in the class of metric vector
spaces under asymptotically isometric perturbations. This result follows
from a general metric normability criterium.
If the distance is translation invariant and satisfies an approximate
multiplicative condition then there exists a lipschitz equivalent norm.
Furthermore, we give necessary and sufficient conditions for the distance
to be asymptotically isometric to the norm.
Archive classification: Functional Analysis; Metric Geometry
Mathematics Subject Classification: 46A16
Remarks: 15 pages
The source file(s), vector7/amn2.tex: 26306 bytes, vector7/defv7.tex:
3674 bytes, is(are) stored in gzipped form as 0008095.tar.gz with size
10kb. The corresponding postcript file has gzipped size 46kb.
Submitted from: munoz at math.ucla.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0008095
or
http://arXiv.org/abs/math.FA/0008095
or by email in unzipped form by transmitting an empty message with
subject line
uget 0008095
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to: math at arXiv.org.
From alspach Wed Aug 16 15:57:20 2000
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Wed, 16 Aug 2000 15:57:20 -0500
Date: Wed, 16 Aug 2000 15:57:20 -0500
From: Dale Alspach <alspach at localhost.localdomain>
Message-Id: <200008162057.PAA15820 at localhost.localdomain>
To: alspach at localhost.localdomain, banach at math.okstate.edu
Subject: Abstract of a paper by S. J. Dilworth and David Mitra
Status: R
This is an announcement for the paper "A conditional quasi-greedy basis
of $l_1$" by S. J. Dilworth and David Mitra.
Abstract: We show that the Lindenstrauss basic sequence in $l_1$ may
be used to construct a conditional quasi-greedy basis of $l_1$, thus
answering a question of Wojtaszczyk. We further show that the sequence
of coefficient functionals for this basis is not quasi-greedy.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B04
Remarks: LaTex, 7 pages
The source file(s), quasigreedy2.tex: 15078 bytes, is(are) stored in
gzipped form as 0008101.gz with size 5kb. The corresponding postcript
file has gzipped size 41kb.
Submitted from: mitra at math.sc.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0008101
or
http://arXiv.org/abs/math.FA/0008101
or by email in unzipped form by transmitting an empty message with
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uget 0008101
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to: math at arXiv.org.
From alspach Wed Aug 23 13:41:08 2000
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Wed, 23 Aug 2000 13:41:08 -0500
Date: Wed, 23 Aug 2000 13:41:08 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200008231841.NAA21289 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by Apoloniusz Tyszka
Status: R
This is an announcement for the paper "A discrete form of the
Beckman-Quarles theorem for two-dimensional strictly convex normed
spaces" by Apoloniusz Tyszka.
Abstract: Let X and Y be real normed vector spaces such that dim X \ge
dim Y = 2 and Y is strictly convex. Let d>0 be a fixed real number. We
prove that if x,y \in X and ||x-y||/d is a rational number then there
exists a finite set S(x,y) \subseteq X containing x and y such that each
injective map from S(x,y) to Y preserving the distance d preserves the
distance between x and y.
Archive classification: Functional Analysis; Metric Geometry
Mathematics Subject Classification: 46B20
Remarks: LaTeX 2.09 with PiCTeX, 7 pages
The source file(s), sbanach.tex: 12368 bytes, is(are) stored in gzipped
form as 0008135.gz with size 4kb. The corresponding postcript file has
gzipped size 70kb.
Submitted from: rttyszka at cyf-kr.edu.pl
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0008135
or
http://arXiv.org/abs/math.FA/0008135
or by email in unzipped form by transmitting an empty message with
subject line
uget 0008135
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to: math at arXiv.org.
From alspach Wed Aug 23 13:42:59 2000
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Wed, 23 Aug 2000 13:42:59 -0500
Date: Wed, 23 Aug 2000 13:42:59 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200008231842.NAA21331 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by P.G. Casazza and M.C. Lammers
Status: R
This is an announcement for the paper "Classifying characteristic
functions giving Weyl-Heisenberg frames" by P.G. Casazza and M.C. Lammers.
Abstract: We examine the question of which characteristic functions
yield Weyl-Heisenberg frames for various values of the parameters. We
also give numerous applications of frames of characteristic functions
to the general case (g,a,b).
Archive classification: Functional Analysis
Remarks: 11 pages, uses SPIE style file
The source file(s), spie.sty: 10012 bytes, spie6.tex: 34074 bytes,
is(are) stored in gzipped form as 0008175.tar.gz with size 15kb. The
corresponding postcript file has gzipped size 58kb.
Submitted from: lammers at math.sc.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0008175
or
http://arXiv.org/abs/math.FA/0008175
or by email in unzipped form by transmitting an empty message with
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From alspach Wed Aug 23 13:44:09 2000
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Wed, 23 Aug 2000 13:44:09 -0500
Date: Wed, 23 Aug 2000 13:44:09 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200008231844.NAA21373 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by Peter G. Casazza, Ole Christensen and Mark C. Lammers
Status: R
This is an announcement for the paper "Perturbations of Weyl-Heisenberg
frames" by Peter G. Casazza, Ole Christensen and Mark C. Lammers.
Abstract: We develop a usable perturbation theory for Weyl-Heisenberg
frames. In particular, we prove that if $(E_{mb}T_{na}g)_{m,n\inmathbb
Z}$ is a WH-frame and $h$ is a function which is close to $g$ in the
Wiener Amalgam space norm, then $(E_{mb}T_{na}h)_{m,n\in \mathbb Z}$
is also a WH-frame.
Archive classification: Functional Analysis
Remarks: 12 pages
The source file(s), fpert8-2.tex: 26282 bytes, is(are) stored in gzipped
form as 0008174.gz with size 9kb. The corresponding postcript file has
gzipped size 56kb.
Submitted from: lammers at math.sc.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0008174
or
http://arXiv.org/abs/math.FA/0008174
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From alspach Fri Sep 1 22:37:20 2000
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Fri, 1 Sep 2000 22:37:20 -0500
Date: Fri, 1 Sep 2000 22:37:20 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200009020337.WAA14054 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by Peter Saveliev
Status: R
This is an announcement for the paper "Lomonosov's invariant subspace
theorem for multivalued linear operators" by Peter Saveliev.
Abstract: The famous Lomonosov's invariant subspace theorem states that if
a continuous linear operator T on an infinite-dimensional normed space E
"commutes" with a compact nonzero operator K, i.e., TK=KT, then T has
a non-trivial closed invariant subspace. We generalize this theorem for
multivalued linear operators.
Archive classification: Functional Analysis; General Topology; Operator
Algebras
Mathematics Subject Classification: 47A15, 47A06 (primary), 46A32, 54C60
(secondary)
Remarks: 10 pages
The source file(s), invariant.tex: 28469 bytes, is(are) stored in gzipped
form as 0008214.gz with size 9kb. The corresponding postcript file has
gzipped size 46kb.
Submitted from: saveliev at math.uiuc.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0008214
or
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From alspach Tue Sep 5 18:15:30 2000
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Tue, 5 Sep 2000 18:15:30 -0500
Date: Tue, 5 Sep 2000 18:15:30 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200009052315.SAA02649 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by Olav Nygaard
Status: R
This is an announcement for the paper "Boundedness and surjectivity in
Banach spaces" by Olav Nygaard.
Abstract: We define the ($w^\ast$-) boundedness property and the
($w^\ast$-) surjectivity property for sets in normed spaces. We show
that these properties are pairwise equivalent in complete normed spaces
by characterizing them in terms of a category-like property called
($w^\ast$-) thickness. We give examples of interesting sets having or not
having these properties. In particular, we prove that the tensor product
of two $w^\ast$-thick sets in $\Xastast$ and $\Yast$ is a $w^\ast$-thick
subset in $L(X,Y)^\ast$ and obtain as a concequense that the set $w^\ast
-exp\:B_{K(l_2)^\ast}$ is $w^\ast$-thick.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B20
Remarks: 15 pages
The source file(s), massive.TEX: 46264 bytes, is(are) stored in gzipped
form as 0009034.gz with size 14kb. The corresponding postcript file has
gzipped size 65kb.
Submitted from: olav.nygaard at hia.no
The paper may be downloaded from the archive by web browser from URL
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From alspach Fri Sep 8 17:23:12 2000
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Fri, 8 Sep 2000 17:23:12 -0500
Date: Fri, 8 Sep 2000 17:23:12 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200009082223.RAA27072 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by Gilles Pisier
Status: R
This is an announcement for the paper "Remarks on the similarity degree
of an operator algebra" by Gilles Pisier.
Abstract: The ``similarity" degree of a unital operator algebra $A$ was
defined and studied in two recent papers of ours, where in particular we
showed that it coincides with the ``length" of an operator algebra. This
paper brings several complements: we give direct proofs (with slight
improvements) of several known facts on the length which were only known
via the degree, and we show that the length of a type $II_1$ factor with
property $\Gamma$ is at most 5, improving on a previous bound ($\le 44$)
due to E. Christensen.
Archive classification: Functional Analysis; Operator Algebras
Mathematics Subject Classification: 46 L 07 , 46 K 99
The source file(s), simdeg3: 27214 bytes, is(are) stored in gzipped
form as 0009052.gz with size 10kb. The corresponding postcript file has
gzipped size 45kb.
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.FA/0009052
or
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From alspach Fri Sep 8 17:24:48 2000
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Fri, 8 Sep 2000 17:24:48 -0500
Date: Fri, 8 Sep 2000 17:24:48 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200009082224.RAA27114 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by Eric Ricard
Status: R
This is an announcement for the paper "$H^1$ n'a pas de base completement
inconditionnelle" by Eric Ricard.
Abstract: Let $H^1$ be the classical Hardy space of analytic
functions on the unit disc. We show that this space does not admit any
finite rank completely unconditional decomposition of the identity.
Archive classification: Functional Analysis; Operator Algebras
Mathematics Subject Classification: 46L07; 46E15
The source file(s), h.tex: 13377 bytes, is(are) stored in gzipped form
as 0009073.gz with size 5kb. The corresponding postcript file has gzipped
size 32kb.
Submitted from: ericard at clipper.ens.fr
The paper may be downloaded from the archive by web browser from URL
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From alspach Fri Sep 8 18:41:50 2000
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Fri, 8 Sep 2000 18:41:50 -0500
Date: Fri, 8 Sep 2000 18:41:50 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200009082341.SAA27809 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by Gilles Pisier
Status: R
This is an announcement for the paper "Multipliers of the Hardy space
$H^1$ and power bounded operators" by Gilles Pisier.
Abstract: We study the space of functions $\varphi\colon \ \NN\to \CC$
such that there is a Hilbert space $H$, a power bounded operator $T$
in $B(H)$ and vectors $\xi,\eta$ in $H$ such that $$\varphi(n) = \langle
T^n\xi,\eta\rangle.$$ This implies that the matrix $(\varphi(i+j))_{i,j\ge
0}$ is a Schur multiplier of $B(\ell_2)$ or equivalently is in the
space $(\ell_1 \buildrel {\vee}\over {\otimes} \ell_1)^*$. We show that
the converse does not hold, which answers a question raised by Peller
[Pe]. Our approach makes use of a new class of Fourier multipliers of
$H^1$ which we call ``shift-bounded''. We show that there is a $\varphi$
which is a ``completely bounded'' multiplier of $H^1$, or equivalently
for which $(\varphi(i+j))_{i,j\ge 0}$ is a bounded Schur multiplier of
$B(\ell_2)$, but which is not ``shift-bounded'' on $H^1$. We also give
a characterization of ``completely shift-bounded'' multipliers on $H^1$.
Archive classification: Functional Analysis; Operator Algebras
Mathematics Subject Classification: 42B15, 47D03
Remarks: Submitted to Colloquium Math
The source file(s), powerbounded: 45469 bytes, is(are) stored in gzipped
form as 0009074.gz with size 16kb. The corresponding postcript file has
gzipped size 65kb.
Submitted from: gip at ccr.jussieu.fr
The paper may be downloaded from the archive by web browser from URL
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From alspach Mon Sep 18 16:16:49 2000
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Date: Mon, 18 Sep 2000 16:16:49 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200009182116.QAA17109 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by Ioannis Gasparis
Status: R
This is an announcement for the paper "On contractively complemented
subspaces of separable L_1-preduals" by Ioannis Gasparis.
Abstract: Let X be an L_1-predual space and let K be a countable linearly
independent subset of the extreme points of its closed dual ball. It
is shown that if the norm-closed linear span Y of K is w^*-closed in
X^*, then Y is the range of a w^*-continuous contractive projection in
X^*. This result is applied in order to provide new and simpler proofs of
the results of Lazar, Lindenstrauss and Zippin on the embedding of C(K)
spaces into X.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B25; 46B04
Remarks: 13 pages, AMS-LaTeX
The source file(s), pred.tex: 45295 bytes, is(are) stored in gzipped
form as 0009160.gz with size 13kb. The corresponding postcript file has
gzipped size 74kb.
Submitted from: ioagaspa at math.okstate.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0009160
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http://arXiv.org/abs/math.FA/0009160
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From alspach at ms417l.math.okstate.edu Wed Sep 20 08:34:40 2000
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Reply-to: Anthony William Wickstead <A.Wickstead at qub.ac.uk>
To: banach at math.okstate.edu
Subject: Lectureship at Queens University Belfast
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Date: Wed, 20 Sep 2000 08:32:37 -0500
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Queens University Belfast
School of Mathematics and Physics
Lectureship in Pure Mathematics (Ref: 00/P227C)
Available as soon as possible to contribute to the research activity
of the Department and consolidate and improve its research rating,
which in the 1996 Research Assessment Exercise was increased to
3a, and which is targeted to raise further in the 2001 Assessment.
The successful candidate will undertake and publish original research in
Pure Mathematics, be willing to supervise research students, contribute
to the development and delivery of the undergraduate teaching programme
in Pure Mathematics and undertake administrative tasks as required.
Applicants must hold at least an upper second class honour degree or
equivalent in Mathematics with a predominantly Pure Mathematics content
and a PhD or equivalent in Pure Mathematics. They must possess a record
of high quality research publication in Pure Mathematics commensurate with
experience and have research interests in Analysis or General Topology
or a related area. Evidence of ability to teach Pure Mathematics at
all levels through the medium of English is also required. Evidence of
ability as an independent researcher and lecturing experience in the
Higher Education sector are desirable.
Informal enquiries may be directed to Professor DH Armitage, email:
d.armitage at qub.ac.uk or telephone +44 28 90273671.
Salary Scale: Lecturer A £18,723 - £23,256
Lecturer B £24,228 - £30,969 per annum.
Appointment will be made on either the Lecturer A or Lecturer B scale,
depending on age and experience.
Closing date: 5.00 pm, Friday 20 October 2000.
Applicants, quoting reference number, may obtain further particulars
from the Personnel Office, The Queen's University of Belfast, BT7 1NN.
Telephone +44 28 90273044 or +44 28 90273854 (answering machine). FAX:
028 90324944 or e-mail on personnel at qub.ac.uk
The University is committed to equal opportunities and to selection on
merit. It therefore welcomes applications from all sections of society.
From alspach Fri Sep 22 08:24:32 2000
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Date: Fri, 22 Sep 2000 08:24:32 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200009221324.IAA30914 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by P. G. Casazza, C. L. Garcia, W. B. Johnson
Status: R
This is an announcement for the paper "An example of an asymptotically
Hilbertian space which fails the approximation property" by
P. G. Casazza, C. L. Garcia, W. B. Johnson.
Abstract: Following Davie's example of a Banach space failing the
approximation property [D], we show how to construct a Banach space
E which is asymptotically Hilbertian and fails the approximation
property. Moreover, the space E is shown to be a subspace of a space
with an unconditional basis which is ``almost'' a weak Hilbert space
and which can be written as the direct sum of two subspaces all of whose
subspaces have the approximation property.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B20; 46B07
Remarks: 7 pages
The source file(s), casgarjohn.ltx: 21780 bytes, is(are) stored in
gzipped form as 0006134.gz with size 8kb. The corresponding postcript
file has gzipped size 41kb.
Submitted from: cesar.garcia at math.tamu.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0006134
or
http://arXiv.org/abs/math.FA/0006134
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From alspach Tue Oct 3 08:24:52 2000
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Date: Tue, 3 Oct 2000 08:24:52 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200010031324.IAA15118 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by Dale Alspach, Robert Judd, and Edward Odell
Status: R
This is an announcement for the paper "The Szlenk index and local
l_1-indices" by Dale Alspach, Robert Judd, and Edward Odell.
Abstract: We introduce two new local l_1-indices of the same type as the
Bourgain l_1 index; the l_1^+-index and the l_1^+-weakly null index. We
show that the l_1^+-weakly null index of a Banach space X is the same as
the Szlenk index of X, provided X does not contain l_1. The l_1^+-weakly
null index has the same form as the Bourgain l_1 index: if it is countable
it must take values omega^alpha for some alpha<omega_1. The different
l_1-indices are closely related and so knowing the Szlenk index of a
Banach space helps us calculate its local l_1-index, via the l_1^+-weakly
null index. We show that I(C(omega^{omega^alpha}))=omega^{1+alpha+1}.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B
Remarks: LaTeX2e, 41 pages, to appear in Positivity
The source file(s), ajof.tex: 138073 bytes, is(are) stored in gzipped
form as 0009250.gz with size 40kb. The corresponding postcript file has
gzipped size 160kb.
Submitted from: alspach at math.okstate.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0009250
or
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From alspach Thu Oct 12 12:49:22 2000
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Date: Thu, 12 Oct 2000 12:49:22 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200010121749.MAA04872 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by Loukas Grafakos and Nigel Kalton
Status: R
This is an announcement for the paper "The Marcinkiewicz multiplier
condition for bilinear operators" by Loukas Grafakos and Nigel Kalton.
Abstract: This article is concerned with the question of whether
Marcinkiewicz multipliers on $\mathbb R^{2n}$ give rise to bilinear
multipliers on $\mathbb R^n\times \mathbb R^n$. We show that this is not
always the case. Moreover we find necessary and sufficient conditions for
such bilinear multipliers to be bounded. These conditions in particular
imply that a slight logarithmic modification of the Marcinkiewicz
condition gives multipliers for which the corresponding bilinear operators
are bounded on products of Lebesgue and Hardy spaces.
Archive classification: Functional Analysis
Mathematics Subject Classification: 42B20
Remarks: 42 pages
The source file(s), loglog2.tex: 115693 bytes, is(are) stored in gzipped
form as 0010076.gz with size 33kb. The corresponding postcript file has
gzipped size 155kb.
Submitted from: nigel at math.missouri.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0010076
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From alspach Fri Oct 13 17:16:00 2000
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Date: Fri, 13 Oct 2000 17:16:00 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200010132216.RAA19656 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by David Mitra
Status: R
This is an announcement for the paper "Two characterizations of the
standard unit vector basis of $l_1$" by David Mitra.
Abstract: We show that for a sequence in a Banach space, the property
of being stable under large perturbations characterizes the property
of being equivalent to the unit vector basis of $l_1$. We show that a
normalized unconditional basic sequence in $l_1$ that is semi-normalized
in $l_\infty$ is equivalent to the standard unit vector basis of~$l_1$.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B45 (Primary), 46B15 (Secondary)
Remarks: Latex. 8 pgs
The source file(s), l1uvb.tex: 20499 bytes, is(are) stored in gzipped
form as 0010128.gz with size 6kb. The corresponding postcript file has
gzipped size 43kb.
Submitted from: mitra at math.sc.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0010128
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To: banach at math.okstate.edu
Subject: Position at Leeds
Reply-To: J.R.Partington at leeds.ac.uk
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Date: Mon, 16 Oct 2000 08:51:25 -0500
From: Dale Alspach <alspach at math.okstate.edu>
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A Postdoc position is available at the University of Leeds (UK) from
Sep 2001 to Aug 2002 within the European network "Classical Analysis,
Operator Theory, Geometry of Banach spaces, their interplay and their
applications". Details can be found at
http://amsta.leeds.ac.uk/pure/analysis/leedsjob.html
- - ------------------------------------------------------------------------
Jonathan R. Partington, Tel: +44 (0) 113 233 5123.
School of Mathematics, Fax: +44 (0) 113 233 5145.
University of Leeds, Email: J.R.Partington at leeds.ac.uk
Leeds LS2 9JT, U.K. WWW: http://www.amsta.leeds.ac.uk/~pmt6jrp
________________________________________________________________________
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Date: Tue, 17 Oct 2000 16:44:58 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200010172144.QAA04749 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by N.J. Kalton and L. Weis
Status: R
This is an announcement for the paper "The $H^{\infty}-$calculus and
sums of closed operators" by N.J. Kalton and L. Weis.
Abstract: We develop a very general operator-valued functional calculus
for operators with an $H^{\infty}-$calculus. We then apply this to the
joint functional calculus of two commuting sectorial operators when one
has an $H^{\infty}$calculus. Using this we prove theorem of Dore-Venni
type on sums of commuting sectorial operators and apply our results
to the problem of $L_p-$maximal regularity. Our main assumption is
the R-boundedness of certain sets of operators, and therefore methods
from the geometry of Banach spaces are essential here. In the final
section we exploit the special Banach space structure of $L_1-$spaces
and $C(K)-$spaces, to obtain some more detailed results in this setting.
Archive classification: Functional Analysis
Mathematics Subject Classification: 47A60; 47D06
Remarks: 26 pages
The source file(s), weis28.tex: 77685 bytes, is(are) stored in gzipped
form as 0010155.gz with size 24kb. The corresponding postcript file has
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Submitted from: nigel at math.missouri.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0010155
or
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From alspach Tue Oct 17 16:46:08 2000
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Date: Tue, 17 Oct 2000 16:46:08 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200010172146.QAA04799 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by N.J. Kalton and G. Lancien
Status: R
This is an announcement for the paper "$L^p-$maximal regularity on Banach
spaces with a Schauder basis" by N.J. Kalton and G. Lancien.
Abstract: We investigate the problem of $L^p$-maximal regularity on
Banach spaces having a Schauder basis. Our results improve those of a
recent paper.
Archive classification: Functional Analysis
Mathematics Subject Classification: 47D06
Remarks: 14 pages
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Submitted from: nigel at math.missouri.edu
The paper may be downloaded from the archive by web browser from URL
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From alspach at ms417l.math.okstate.edu Sun Oct 22 12:37:01 2000
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To: banach at math.okstate.edu
Reply-to: Nicole Tomczak-Jaegermann <nicole at ellpspace.math.ualberta.ca>
Subject: tenure track position in Edmonton
MIME-Version: 1.0
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Date: Sun, 22 Oct 2000 12:32:49 -0500
From: Dale Alspach <alspach at math.okstate.edu>
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Precedence: bulk
A tenure-track position at Assistant Professor level in Geometric
Functional Analysis is available at the University of Alberta in
Edmonton. Applications are welcome. For details please check:
http://www.math.ualberta.ca/Positions/GFA.html
From alspach Fri Oct 27 12:09:08 2000
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Date: Fri, 27 Oct 2000 12:09:08 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200010271709.MAA30209 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by Alvaro Arias
Status: R
This is an announcement for the paper "An operator Hilbert space without
the operator approximation property" by Alvaro Arias.
Abstract: We use a technique of Szankowski to construct an operator
Hilbert space that does not have the operator approximation property
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B20; 47D15
Remarks: 7 pages
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Submitted from: arias at sphere.math.utsa.edu
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Reply-to: "FELIX CABELLO" <fcabello at unex.es>
Subject: IV Conference in Banach Spaces
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From: Dale Alspach <alspach at math.okstate.edu>
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IV Conference in Banach Spaces
Dear colleague, the Department of Mathematics of the University of
Extremadura organizes the IV Conference on Banach Spaces during the week
18-22 December 2000. The meeting shall take place in the Centro de Estudios
of the University in Jarandilla de la Vera, Cáceres, Spain.
The Conference is organized in three sections or seminars, each focused
(more or less freely) on a topic. This time they are:
1. Tensor products of Banach spaces. So far it has been confirmed the
participation of F. Blasco, R. García, P. Galindo, J. Jaramillo and J.L.
Llavona.
2. Topological methods in function spaces. So far it has been confirmed
the participation of V. Fonf, I. Garrido, M. Jiménez, A. Plichko and B.
Radrianantoanina.
3. Algebraic methods in Banach spaces (and related structures). So far
it has been confirmed the participation of F. Cabello, JMF Castillo, A.Y.
Helemskii, N. Kalton, P. Papini and D. Yost.
As in the previous meetings, we hope to provide a friendly and
stimulating working atmosphere. The ambience during the talks is relaxed
and open to participation; actually, some shorter conferences could be
included in the seminars. In addition to this, there have been organized
some sections for communications. Those interested in delivering a shorter
talk or communication are invited to submit an abstract with the contents;
if it is intended to
be included in a seminar, please indicate in which one you think it fits
better.
Unfortunately there is only a limited number of rooms in the Centro de
Estudios (4.000 pts/day, including meals). So, those interested in
participating are invited to contact with the organizators (see below) as
soon as possible so that we can make the reservation. There shall be a
conference fee of 15.000 pts (100 $) for doctors and 4.000 pts (25 $) for
non-doctors.
The proceedings of the Conference shall be published in Extracta
Mathematicae.
Organization:
Félix Cabello Sanchez (fcabello at unex.es)
Jesús M.F. Castillo (castillo at unex.es) +34 924 289563
Ricardo García (rgarcia at unex.es) +34 927 257223
Departamento de Matemáticas, Universidad de Extremadura
Avda. de Elvas s/n, 06071 Badajoz
Spain.
Up-dated information shall be placed at the web page of the Uex:
www.unex.es
From alspach Fri Nov 3 09:37:31 2000
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Date: Fri, 3 Nov 2000 09:37:31 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200011031537.JAA02443 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by Jesus Araujo
Status: R
This is an announcement for the paper "Realcompactness and Banach-Stone
theorems" by Jesus Araujo.
Abstract: For realcompact spaces X and Y we give a complete description of
the linear biseparating maps between spaces of vector-valued continuous
functions on X and Y, where special attention is paid to spaces of
vector-valued bounded continuous functions. These results are applied to
describe the linear isometries between spaces of vector-valued bounded
continuous and uniformly continuous functions.
Archive classification: Functional Analysis; General Topology
Mathematics Subject Classification: 46E40 (Primary) 47B33, 47B38, 54D60
(Secondary)
Remarks: 16 pages, LaTeX, no figures
The source file(s), isomarch.TEX: 37338 bytes, is(are) stored in gzipped
form as 0010292.gz with size 11kb. The corresponding postcript file has
gzipped size 60kb.
Submitted from: araujoj at unican.es
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http://front.math.ucdavis.edu/math.FA/0010292
or
http://arXiv.org/abs/math.FA/0010292
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Reply-to: Konference na Pasekach <paseky at karlin.mff.cuni.cz>
Subject: Spring School on FA - Paseky 2001
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Spring School on Analysis
First Announcement
Dear Colleague,
Following a longstanding tradition, the Faculty of Mathematics and
Physics of Charles University in Prague will organize a
Spring School on Banach Spaces.
The School will be held at Paseky nad Jizerou, in a chalet in the
Krkonose Mountains, April 15 - 21, 2001. The program will consist
of the series of lectures provided by the following speakers:
Joram Lindenstrauss, Institute of Mathematics, The Hebrew
University of Jerusalem, Jerusalem, Israel
e-mail: joram at math.huji.ac.il
Gideon Schechtman, Department of Theoretical Mathematics,
The Weizmann Institute of Science, Rehovot, Israel
e-mail: gideon at wisdom.weizmann.ac.il
Yoav Benyamini, Department of Mathematics, The Technion,
Israel Institute of Technology, Haifa, Israel
e-mail: yoavb at tx.technion.ac.il
Gilles Lancien, Equipe de Mathematiques, Universite de
Franche-Comte, Besancon Cedex, France
e-mail: gilles.lancien at math.univ-fcomte.fr
W. B. Johnson (not yet confirmed), Department of Mathematics,
Texas A&M University, United States
e-mail: johnson at math.tamu.edu
The titles of lectures will be announced on the www pages soon.
More details and the registration form can be found at the URL address
http://www.karlin.mff.cuni.cz/katedry/kma/ss/apr01/ss.htm
The conference fee will be USD 340. A reduced rate of USD 290
will be offered provided that a letter guaranteeing participation
reaches the organizers before January 15, 2001. The conference
fee includes all local expenses (room and board) and transportation
between Prague and Paseky. The fee for accompanying persons is
the same.
Payment of the fee should be made in cash at the registration
desk in Paseky, or it may be remitted by a bank transfer to
Komercni banka, Praha 1, Vaclavske nam. 42
account No. 38330-021/0100, v.s. 30300-0029
(a copy of the transfer slip should be presented at the
registration desk at Paseky). Unfortunately, neither cheques nor
credit cards can be used and will not be accepted.
The organizers may provide financial support to a limited number
of students. Applications must be sent before January 15, 2001.
The village of Paseky lies in the slopes of the Krkonose
Mountains in North Bohemia. Accommodation consists of rooms
for two or three people.
A single room can be arranged on demand if the capacity of the
chalet allows. In such case additional USD 100 will be charged.
The vicinity of the chalet is suitable for wonderful hiking
trips. Moreover, there are excellent facilities for various
sporting activities: soccer, mini-golf, fitness center, snooker,
darts and sauna.
A special bus from Prague to Paseky will leave at 4 p.m. on April
15, 2001. The bus from Paseky will arrive in Prague on April 21,
2001 at 11.30 a.m.
The last announcement containing more details will
be distributed in due time.
Kindly inform your colleagues and students interested in this
field.
We look forward to meeting you in the Czech Republic.
Jaroslav Lukes, Jan Rychtar
Mailing address:
Katedra matematicke analyzy
Matematicko-fyzikalni fakulta UK
Sokolovska 83
186 75 Praha 8
Czech Republic
Phone/Fax: +420 - 2 - 232 3390
E-mail: paseky at karlin.mff.cuni.cz
From alspach Wed Nov 29 13:35:38 2000
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Date: Wed, 29 Nov 2000 13:35:38 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200011291935.NAA04772 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by R. Vershynin
Status: R
This is an announcement for the paper "Coordinate restrictions of linear
operators in $l_2^n$" by R. Vershynin.
Abstract: This paper addresses the problem of improving properties
of a linear operator $u$ in $l_2^n$ by restricting it onto coordinate
subspaces. We discuss how to reduce the norm of $u$ by a random coordinate
restriction, how to approximate $u$ by a random operator with small
"coordinate" rank, how to find coordinate subspaces where $u$ is an
isomorphism. The first problem in this list provides a probabilistic
extension of a suppression theorem of Kashin and Tzafriri, the second
one is a new look at a result of Rudelson on the random vectors in the
isotropic position, the last one is the recent generalization of the
Bourgain-Tzafriri's invertibility principle. The main point is that all
the results are independent of $n$, the situation is instead controlled
by the Hilbert-Schmidt norm of $u$. As an application, we provide an
almost optimal solution to the problem of harmonic density in harmonic
analysis, and a solution to the reconstruction problem for communication
networks which deliver data with random losses.
Archive classification: Functional Analysis; Analysis of PDEs; Probability
Theory
Mathematics Subject Classification: 46B09 (60G50, 43A46, 43A46)
The source file(s), restrict.tex: 62543 bytes, is(are) stored in gzipped
form as 0011232.gz with size 19kb. The corresponding postcript file has
gzipped size 87kb.
Submitted from: vershyn at wisdom.weizmann.ac.il
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0011232
or
http://arXiv.org/abs/math.FA/0011232
or by email in unzipped form by transmitting an empty message with
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From alspach Wed Nov 29 13:38:21 2000
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Date: Wed, 29 Nov 2000 13:38:21 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200011291938.NAA04814 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at math.okstate.edu
Subject: Abstract of a paper by S. J. Dilworth, Ralph Howard and James W. Roberts
Status: R
This is an announcement for the paper "Extremal approximately convex
functions and the best constants in a theorem of Hyers and Ulam"
by S. J. Dilworth, Ralph Howard and James W. Roberts.
Abstract: Let $n\ge1$ and $B\ge2$. A real-valued function $f$ defined
on the $n$-simplex $\Delta_n$ is approximately convex with respect to
$\Delta_{B-1}$ iff
f(\sum_{i=1}^B t_ix_i ) \le \sum_{i=1}^B t_if(x_i) +1 for all
$x_1,\dots,x_B \in \Delta_n$ and all $(t_1,\dots,t_B)\in
\Delta_{B-1}$. We determine explicitly the extremal (i.e. pointwise
largest) function of this type which vanishes on the vertices of
$\Delta_n$. We also prove a stability theorem of Hyers-Ulam type which
yields as a special case the best constants in the Hyers-Ulam stability
theorem for $\epsilon$-convex functions.
Archive classification: Functional Analysis; Metric Geometry
Mathematics Subject Classification: 26B25; 41A44
Remarks: 12 pages 1 figure
The source file(s), EsimpGraph.ps: 502880 bytes (looks big), %%Creator:
XV Version 3.10a Rev: 12/29/94 - by John Bradley, ulam-hyers.tex:
29308 bytes, is(are) stored in gzipped form as 0011239.tar.gz with size
23kb. The corresponding postcript file has gzipped size 73kb.
Submitted from: howard at math.sc.edu
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http://front.math.ucdavis.edu/math.FA/0011239
or
http://arXiv.org/abs/math.FA/0011239
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