Messages from 2001
These are the messages distributed to the Banach list during 2001.
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Date: Mon, 1 Jan 2001 15:09:08 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200101012109.PAA15986 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 "Automatic continuity and weighted
composition operators between spaces of vector-valued differentiable
functions" by Jesus Araujo.
Abstract: It is proved that every linear biseparating map between spaces
of vector-valued differentiable functions is a weighted composition
map. As a consequence, such a map is always continuous.
Archive classification: Functional Analysis
Mathematics Subject Classification: 47B33 (Primary) 46H40, 47B38, 46E40,
46E25 (Secondary)
Remarks: 25 pages (AMS LaTeX). No figures
The source file(s), deriv35.TEX: 84994 bytes, is(are) stored in gzipped
form as 0012205.gz with size 23kb. The corresponding postcript file has
gzipped size 98kb.
Submitted from: araujoj at unican.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0012205
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http://arXiv.org/abs/math.FA/0012205
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To: banach at math.okstate.edu
Subject: Abstract of a paper by Mary Beth Ruskai, Stanislaw Szarek, and Elisabeth Werner
Date: Sat, 06 Jan 2001 16:07:32 -0600
From: Dale Alspach <alspach at math.okstate.edu>
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This is an announcement for the paper "An analysis of completely-positive
trace-preserving maps on 2x2 matrices" by Mary Beth Ruskai, Stanislaw
Szarek, and Elisabeth Werner.
Abstract: We give a useful new characterization of the set of all
completely positive, trace-preserving (i.e., stochastic) maps from 2x2
matrices to 2x2 matrices. These conditions allow one to easily check any
trace-preserving map for complete positivity. We also determine explicitly
all extreme points of this set, and give a useful parameterization
after reduction to a certain canonical form. This allows a detailed
examination of an important class of non-unital extreme points which
can be characterized as having exactly two images on the Bloch sphere.
We also discuss a number of related issues about the images and the
geometry of the set of stochastic maps, and show that any stochastic map on 2x2
matrices can be written as a convex combination of two "generalized"
extreme points.
Archive classification: Quantum Physics; Mathematical Physics; Operator
Algebras
Remarks: A significantly expanded version of quant-ph/0005004 with full
proofs and some additional results. 34 pages, 3 figures
The source file(s), extpts6dec.tex, fig2-6-gray.ps, tetra7.ps,
touchellipse5.ps, is(are) stored in gzipped form as quant-ph/0101003.tar.gz with size 131K. The
corresponding postcript file has gzipped size 211K.
Submitted from: bruskai at cs.uml.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/quant-ph/0101003
or
http://arXiv.org/abs/quant-ph/0101003
or by email in unzipped form by transmitting an empty message with
subject line
uget /0101003
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get /0101003
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****Correction*****
to:quant-ph at arXiv.org.
*******************
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To: banach at math.okstate.edu
Reply-to: kaminska anna <kaminska at memphis.edu>
Subject: Conference at the University of Memphis
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Date: Tue, 16 Jan 2001 10:55:57 -0600
From: Dale Alspach <alspach at math.okstate.edu>
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October 5-9, 2001, Conference:
"Trends in Banach Spaces and Operator Theory"
The University of Memphis, Memphis, Tennessee.
Sponsored by:
National Science Foundation, The University of Memphis, The University of
Mississippi.
Organizing Committee: Jim Jamison, Anna Kami\'nska, Pei-Kee Lin (Univ. of
Memphis), Przemo Kranz (Univ. of Mississippi).
Principal Speakers:
Yuri Abramovich (Indiana University-Purdue in Indianapolis),
Sheldon Axler (San Francisco State University),
John B. Conway (University of Tennessee in Knoxville),
Carl C.Cowen (Purdue University),
Nigel Kalton (University of Missouri in Columbia),
Barbara MacCluer (University of Virginia in Charlottesville),
Edward W. Odell (The University of Texas at Austin),
Aleksander Pe{\l}czy\'nski (Polish Academy of Sciences in Warsaw, Poland),
Gilles Pisier (Universit\'e de Paris VI, Texas A\&M University),
Thomas Berthold Schlumprecht (Texas A\&M University in College Station),
Nicole Tomczak-Jaegermann (University of Alberta in Edmonton,
Canada).
Topics:
Variety of topics in Banach Spaces
and Operator Theory, including:
Isomorphic and isometric theory of Banach spaces, Banach lattices,
Interpolation theory, Banach and Hilbert spaces of analytic functions,
Spaces of measurable functions,
The geometry of finite- and infinite-dimensional convex bodies,
$C^*$-algebras,
Linear spaces and algebras of operators,
Weighted-composition, Hankel and Toeplitz operators,
Normal and subnormal operators on Hilbert spaces.
Information:
The principal speakers will deliver
one hour plenary lectures. Twenty minute contributed talks will be
organized in parallel sessions. The pre-registration deadline is 1
April 2001. Partial funding for advanced graduate students and
beginning researchers may be available through the organizers. For
further information on the conference organization, registration,
location, lodging, submission of abstracts and other details,
visit the conference web site at
http://www.msci.memphis.edu/banachconf.html.
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To: banach at math.okstate.edu
Subject: Book by D. Fremlin
Reply-to: Fremlin D H <fremdh at essex.ac.uk>
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Date: Fri, 19 Jan 2001 13:39:04 -0600
From: Dale Alspach <alspach at math.okstate.edu>
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I am glad to announce (a little belatedly) that my book
Measure Theory:
Volume 1, "The irreducible minimum"
is now available; for details see
www.essex.ac.uk/maths/staff/fremlin/mt.htm
David Fremlin
From alspach Wed Jan 31 14:50:54 2001
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Date: Wed, 31 Jan 2001 14:50:54 -0600
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 Frank Oertel
Status: R
This is an announcement for the paper "The principle of local reflexivity
for operator ideals and its implications" by Frank Oertel.
Abstract: We present a survey of past research activities and current
results in constructing a mathematical framework describing the principle
of local reflexivity for operator ideals and reveal further applications
involving operator ideal products consisting of operators which factor
through a Hilbert space.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46M05; 47D50; 47A80
The source file(s), pp6bs.tex: 45395 bytes, is(are) stored in gzipped
form as 0101213.gz with size 12kb. The corresponding postcript file has
gzipped size 65kb.
Submitted from: frank.oertel at freesurf.ch
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0101213
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http://arXiv.org/abs/math.FA/0101213
or by email in unzipped form by transmitting an empty message with
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uget 0101213
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get 0101213
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From alspach Wed Jan 31 14:52:12 2001
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Date: Wed, 31 Jan 2001 14:52:12 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200101312052.OAA15804 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 and Juan J. Font
Status: R
This is an announcement for the paper "Isometric shifts and metric spaces"
by Jesus Araujo and Juan J. Font.
Abstract: Let M be a complete metric space. It is proved that if the
space or scalar-valued bounded continuous functions on M admits an
isometric shift, then M is separable.
Archive classification: Functional Analysis; General Topology
Mathematics Subject Classification: 47B38 (Primary) 54D65, 46J10
(Secondary)
Remarks: 10 pages, LaTeX, no figures
The source file(s), separ8.TEX: 26897 bytes, is(are) stored in gzipped
form as 0101199.gz with size 9kb. The corresponding postcript file has
gzipped size 49kb.
Submitted from: araujoj at unican.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0101199
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http://arXiv.org/abs/math.FA/0101199
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uget 0101199
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get 0101199
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Subject: A Note on Banach Space in the Next 100 years - Doctorow
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Date: Wed, 31 Jan 2001 14:58:14 -0600
From: Dale Alspach <alspach at math.okstate.edu>
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From: Osher Doctorow, Ph.D. osher at ix.netcom.com, Thurs. Jan. 19, 2001 3:18PM
My recent paper, "Magnetic monopoles, massive neutrinos, and gravitation via
logical-experimental unification theory (LEUT) and Kursunuglu's theory,"
pages 89-97 of the volume Quantum Gravity, Generalized Theory of
Gravitation, and Superstring Theory-Based Unification, Editors B. N.
Kursunuglu (Ph.D. Cambridge University under P. Dirac), S. L. Mintz, and A.
Perlmutter, Kluwer Academic/Plenum: New York 2000, discusses the use of
non-Hilbert Banach Space (BS for short) in logic-based probability (LBP), a
combination of probability and the set/event analogues of logical
propositions, and the physics topics mentioned in the title(s). In my
opinion, this direction of research will accelerate in the next 100 years,
partly because more and more things are going wrong with Hilbert Space (HS
for short) as the major mathematical physics subcategory of Banach Space.
Much more detail can be found at http://www.logic.univie.ac.at, Institute
for Logic of the University of Vienna (select ABSTRACTS, then select BY
AUTHOR, then select my name), where the abstracts are sufficiently detailed
to enable understanding of many basic concepts. A. Bohm and colleagues at
the University of Texas Austin in their numerous publications of the last 10
years have already extended Hilbert Space to Rigged Hilbert Space, Lattices
of Hilbert and Banach Spaces, etc., because of numerous failures of the
facts in quantum theory to correspond to traditional HS, although they
somewhat conservatively refer to much of their work as simply extending the
HS idea. Another major theorist who is using non-Hilbert BS as well as
generalized information and even generalized quantum theory beyond
observer/measurement dependence (the latter because astrophysics/cosmology
of the early universe is observer/measurement independent so to speak) is
Professor J. B. Hartle (UC Santa Barbara), "Generalized quantum theory and
black hole evaporation," pages 433-448 of the volume Black Holes and High
Energy Astrophysics, Editors H. Sato and N. Sugiyama (Kyoto University),
Universal Academy Press: Tokyo 1998. Those mathematical physicists familiar
with S. Carlip's (2+1)-dimensional Quantum Gravity (1996 or 1997) and the
papers on which it is based will recognize in Hartle's paper an attempted
solution of the "problem of time," which is especially difficult in
relationship to black holes. Hartle follows Feynmann's and (even earlier)
Minkowski's viewpoint that (quantum and/or relativity) theory needs to be
reformulated in 4-dimensional terms rather than 3+1 dimensional (3 spatial
dimensions with time representing an evolution between the essential foci
which are spatial slices ). One of Hartle's remarkable findings (at least
tentatively) is that information is not lost in black hole evaporation but
is distributed about 4-dimensional spacetime. Hartle in fact abandons a
second frequent correlate of HS theory, namely, the state vector description
because of its dependence on 3+1 dimensional viewpoint and so on.
I only have room enough here to mention that LBP prefers non-Hilbert BS for
somewhat different reasons, although the ideas tend to converge with Bohm's
and Hartle's. LBP is characterized by "follow the logic" and "follow the
probability," instead of the usual legal principle of "follow the money" or
other principles. Set/event analogues of logical propositions and
operations are explicitly used in all the equations and inequalities of LBP,
which keeps explicit track of the logic (not just in the proofs as with
non-LBP methods). The principles of following the logic and probability
lead to lack of tolerance for anomalies and paradoxes, and that is the
trouble with HS as opposed to non-HS Banach Space. Nobel Laureate S.
Weinberg of University of Texas Austin moved from Harvard/MIT to Austin and
moved from his own invention effective gauge quantum field theory to string
theory for a similar reason (that is, his refusal to tolerate quantum field
theory anomalies and paradoxes). He and P. Dirac (whom Hartle cites also)
are in my opinion the two greatest creative geniuses in mathematical physics
of the last 40 years. With the new results on accelerating universe,
superluminal light speeds, varying cosmological constants, and so on in
physics/astrophysics/cosmology, and the generalization of general relativity
and quantum gravity theory through Clifford Algebra/Geometry and string
theory and variants of (2+1)-dimensional quantum gravity and
Kursunuglu/Dirac/Einstein combined theories, not to mention the Israeli
school pioneering of Benyamini and Lindenstrauss in geometric nonlinear
functional analysis of non-Hilbert and Hilbert BS (2000, etc.), I think that
non-Hilbert Banach Space looks very good in the next 100 years.
Osher Doctorow
Doctorow Consultants, Ventura College, West Los Angeles College, etc.
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Reply-to: GRAHAM ELLIS <0002319S at bodkin.nuigalway.ie>
Subject: Analysis Post at NUI Galway
To: BANACH at mail.math.okstate.edu
Date: Thu, 01 Feb 2001 08:39:38 -0600
From: Dale Alspach <alspach at math.okstate.edu>
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Mathematics Post at NUI Galway
==============================
Junior Lectureship in Mathematics
=================================
Applications are invited for the above full-time permanent post of
Junior Lectureship in Mathematics. In the filling of this position
preference may be given to persons with a background in Analysis.
At present the Department runs full degree programmes in the Arts and
Science Faculties and is a major contributor to the denominated degree
in Computing/Mathematical Science and to the degree programme in
Financial Mathematics and Economics. The post-graduate school has
active Masters' and Ph.D. programmes.
Closing date: 9th March 2001
Further details from:
Professor Martin Newell,
Head of Mathematics,
National University of Ireland, Galway
e-mail: martin.newell at nuigalway.ie
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Subject: Blacklist
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Date: Tue, 30 Jan 2001 23:29:44 -0600
From: Dale Alspach <alspach at math.okstate.edu>
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Dear Subscribers,
For the past few weeks some of you have not received messages from the
Banach list because your mail system refuses mail from certain
sites based on a blacklist (http://mail-abuse.org/rbl/). The mail server
here was blacklisted. It has been completely reconfigured and at least for
the time being is no longer blacklisted as far as I know. Four messages
have been sent out in January. If you did not receive them check the web
page http://www.math.okstate.edu/~alspach/banach/2001sub.html
Dale Alspach
From alspach Thu Feb 1 14:45:31 2001
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Thu, 1 Feb 2001 14:45:31 -0600
Date: Thu, 1 Feb 2001 14:45:31 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200102012045.OAA29050 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by S. J. Dilworth Ralph Howard James W. Roberts
Status: R
This is an announcement for the paper "A general theory of almost convex
functions" by S. J. Dilworth, Ralph Howard, and James W. Roberts.
Abstract: Let $\Delta_m$ be the standard $m$-dimensional simplex of
non-negative $m+1$ tuples that sum to unity and let $S$ be a nonempty
subset of $\Delta_m$. A real valued function $h$ defined on a convex
subset of a real vector space is $S$-almost convex iff for all
$(t_0,...,t_m)\in S$ and $x_0,...,x_m\in C$ the inequality
h(t_0 x_0+ ... +t_m x_m)\leq 1+ t_0 h(x_0)+ ... +t_m h(x_m)
holds.
A detailed study of the properties of $S$-almost convex functions is
made, including the constriction of the extremal (i.e. pointwise largest
bounded) $S$-almost convex function on simplices that vanishes on the
vertices. In the special case that $S$ is the barycenter of $\Delta_m$
very explicit formulas are given for the extremal function and its
maximum. This is of interest as the extremal function and its maximum
give the best constants in various geometric and analytic inequalities
and theorems.
Archive classification: Functional Analysis
Mathematics Subject Classification: 26B25 52A27 (primary), 39B72 41A44
51M16 52A21 52A4 (secondary)
Remarks: 40 pages with 5 postscript figures. See also
http://www.math.sc.edu/~howard/
The source file(s), E10.ps: 91927 bytes, E3.ps: 103053 bytes, E6.ps:
108109 bytes, H10.ps: 30773 bytes, H3.ps: 36544 bytes, almostconvex.tex:
93332 bytes, is(are) stored in gzipped form as 0101262.tar.gz with size
61kb. The corresponding postcript file has gzipped size 164kb.
Submitted from: howard at math.sc.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0101262
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or by email in unzipped form by transmitting an empty message with
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From alspach Fri Feb 2 10:15:58 2001
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Fri, 2 Feb 2001 10:15:58 -0600
Date: Fri, 2 Feb 2001 10:15:58 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200102021615.KAA07583 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by George Androulakis and Thomas Schlumprecht
Status: RO
This is an announcement for the paper "Strictly singular, non-compact
operators on Gowers' and Maurey's space" by George Androulakis and
Thomas Schlumprecht.
Abstract: We construct a strictly singular non-compact operator on
Gowers' and Maurey's space $GM$.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B28, 46B20, 46B03
The source file(s), ssnoncpt.tex: 63306 bytes, is(are) stored in gzipped
form as 0102008.gz with size 19kb. The corresponding postcript file has
gzipped size 99kb.
Submitted from: giorgis at math.sc.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0102008
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http://arXiv.org/abs/math.FA/0102008
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To: banach at mail.math.okstate.edu
Subject: Paseky School Second Announcement
Reply-to: "VACLAV ZIZLER" <ZIZLER at MATH.CAS.CZ>
Date: Tue, 06 Feb 2001 08:39:31 -0600
From: Dale Alspach <alspach at math.okstate.edu>
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Spring School on Analysis
Second Announcement
We are pleased to announce that 2001
Spring School, which will be organized by the Faculty of Mathematics and
Physics, Charles University, Prague will be held at Paseky nad Jizerou,
April 15 - 21, 2001. The village of Paseky lies on the slopes of the
Krkonose Mountains, in North Bohemia. Lodging is organized in double and
tripple bedrooms in a chalet. There are excellent conditions for sport
activities: walking trips in the vicinity, mini-golf, fitness centre
and sauna.
The program will consist of the series of lectures provided by the
following speakers:
Yoav Benyamini: to be announced
e-mail: yoavb at tx.technion.ac.il
Gilles Lancien : "Szlenk indices. Applications to renorming
theory and to the non linear classification of Banach spaces."
e-mail: gilles.lancien at math.univ-fcomte.fr
Joram Lindenstrauss:
"Frechet differentiability of Lipschitz functions."
e-mail: joram at math.huji.ac.il
Gideon Schechtman:
"Non-linear quotient mappings between Banach spaces."
e-mail: gideon at wisdom.weizmann.ac.il
The conference fee is 340 US dollars.
The organizers will provide financial support to a limited number
of students.
A special bus from Prague to Paseky and back is booked
for the beginning and for the end of the Spring School.
The bus from Prague will depart on April 15, 2001 at 4 pm from
Prague.
Bus from Paseky will depart on April 21, 2001 at 9 am and will be
getting
to Prague at 11.30 am.
Up-to-date information about the school can be found on URL:
http://www.karlin.mff.cuni.cz/katedry/kma/ss
In case of your interest in the school, please kindly contact
the organizers at the address given below.
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 Feb 21 13:35:31 2001
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Wed, 21 Feb 2001 13:35:31 -0600
Date: Wed, 21 Feb 2001 13:35:31 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200102211935.NAA03817 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Stefan Neuwirth
Status: R
This is an announcement for the paper "Cycles and 1-unconditional
matrices" by Stefan Neuwirth.
Abstract: We characterize the 1-unconditional subsequences of the
canonical basis e_rc of elementary matrices in the Schatten class S^p. The
set of couples (r,c) must be the set of edges of a bipartite graph with
girth p+2 if p is an even integer, and without cycles at all if p is a
positive real number that is not an even integer.
Archive classification: Functional Analysis; Combinatorics
Mathematics Subject Classification: 47B10; 43A46; 05C38
Remarks: 11 pages
The source file(s), one.tex: 34961 bytes, is(are) stored in gzipped
form as 0102146.gz with size 12kb. The corresponding postcript file has
gzipped size 53kb.
Submitted from: neuwirth at math.univ-fcomte.fr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0102146
or
http://arXiv.org/abs/math.FA/0102146
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From alspach Fri Feb 23 11:39:43 2001
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Fri, 23 Feb 2001 11:39:43 -0600
Date: Fri, 23 Feb 2001 11:39:43 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200102231739.LAA01524 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.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 "The $\ell^{1}$-index of Tsirelson
type spaces" by Denny H. Leung and Wee-Kee Tang.
Abstract: If \alpha and \beta are countable ordinals such that \beta\neq
0, denote by $\overset{_{\sim}}{T}_{\alpha,\beta}$ the completion
of $c_{00}$ with respect to the implicitly defined norm \[ \Vert
x\Vert=\max\{\Vert x\Vert_{c_{0}},\frac{1}{2}\sup\sum_{i=1}^{j}\Vert
E_{i}x\Vert\}, \] where the supremum is taken over all finite subsets
E_{1},...,E_{j} of $\mathbb{N}$ such that $E_{1}<...<E_{j}$ and $\{\min
E_{1},...,\min E_{j}\}\in\mbox{$\mathcal{S}$}_{\beta}$. It is shown that
the Bourgain $\ell^{1}$-index of \overset{_{\sim}}{T}_{\alpha,\beta}\ is
\omega ^{\alpha+\beta\cdot\omega}. In particular, if $\omega_{1}>\alpha
=\omega^{\alpha_{1}}\cdot m_{1}+...+\omega^{\alpha_{n}}\cdot m_{n}$
in Cantor normal form and \alpha_{n} is not a limit ordinal, then there
exists a Banach space whose \ell^{1}-index is \omega^{\alpha}.
Archive classification: Functional Analysis
The source file(s), DLeungWTang.tex: 48264 bytes, is(are) stored in
gzipped form as 0102175.gz with size 12kb. The corresponding postcript
file has gzipped size 63kb.
Submitted from: wktang at nie.edu.sg
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From alspach Wed Feb 28 08:15:04 2001
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Wed, 28 Feb 2001 08:15:04 -0600
Date: Wed, 28 Feb 2001 08:15:04 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200102281415.IAA10126 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Peter G. Casazza and Niels J. Nielsen
Status: R
This is an announcement for the paper "A Banach space with a symmetric
basis which is of weak cotype 2 but not of cotype 2" by Peter G. Casazza
and Niels J. Nielsen.
Abstract: We prove that the symmetric convexified Tsirelson space is of
weak cotype 2 but not of cotype 2.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B03; 46B07
The source file(s), convsymmtsirelson.tex: 33987 bytes, is(are) stored
in gzipped form as 0102212.gz with size 11kb. The corresponding postcript
file has gzipped size 48kb.
Submitted from: njn at imada.sdu.dk
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From alspach Wed Feb 28 08:26:37 2001
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Wed, 28 Feb 2001 08:26:37 -0600
Date: Wed, 28 Feb 2001 08:26:37 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200102281426.IAA10185 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Asma Harcharras, Stefan Neuwirth and Krzysztof Oleszkiewicz
Status: R
This is an announcement for the paper "Lacunary matrices" by Asma
Harcharras, Stefan Neuwirth and Krzysztof Oleszkiewicz.
Abstract: We study unconditional subsequences of the canonical basis e_rc
of elementary matrices in the Schatten class S^p. They form the matrix
counterpart to Rudin's Lambda(p) sets of integers in Fourier analysis. In
the case of p an even integer, we find a sufficient condition in terms
of trails on a bipartite graph. We also establish an optimal density
condition and present a random construction of bipartite graphs. As
a byproduct, we get a new proof for a theorem of Erdos on circuits
in graphs.
Archive classification: Functional Analysis; Combinatorics
Mathematics Subject Classification: 47B10, 43A46, 05C38, 05C80, 46B15
Remarks: 14 pages
The source file(s), iumj.tex: 49276 bytes, is(are) stored in gzipped
form as 0102211.gz with size 17kb. The corresponding postcript file has
gzipped size 66kb.
Submitted from: neuwirth at math.univ-fcomte.fr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0102211
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http://arXiv.org/abs/math.FA/0102211
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To: banach at mail.math.okstate.edu
Reply-to: Johan Swart <swart at mcs.kent.edu>
Subject: Vacant positions: University of Pretoria
Date: Thu, 01 Mar 2001 08:52:12 -0600
From: Dale Alspach <alspach at math.okstate.edu>
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DEPARTMENT OF MATHEMATICS AND APPLIED MATHEMATICS
University of Pretoria, South Africa
The Department of Mathematics and Applied Mathematics has three vacant
positions and invites applications for a position as Lecturer, Senior
Lecturer, Associate Professor or Full Professor, rank depending on
qualifications.
The positions can be tenure track, contract position for a three
year period, visiting or for post docs.
The Department will consider applicants whose research interest fall
within the following research areas: Abstract analysis, operator
theory, discrete mathematics, partial differential equations and their
numerical analysis, stochastic processes and financial mathematics.
Abstract analysis include functional analysis, Banach spaces and
related fields.
Minimum requirements:
Professor / Associate Professor / Senior Lecturer:
A PhD in Mathematics or a closely related field and proven research output.
Lecturer:
A Masters degree in Mathematics or a closely related field as well as
a strong potential in research are required.
The successful candidates will lecture in our undergraduate and
post-graduate programmes, conduct research and participate in the
Department's community service programmes.
Deadline: Review of applications will start on 18 April 2001.
For more details visit our website at http://www.math.up.ac.za
or e-mail: astroh at math.up.ac.za
From alspach Fri Mar 2 12:04:34 2001
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Fri, 2 Mar 2001 12:04:34 -0600
Date: Fri, 2 Mar 2001 12:04:34 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200103021804.MAA09962 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Julio Bernues and Javier Pascual
Status: R
This is an announcement for the paper "On total incomparability of mixed
Tsirelson spaces" by Julio Bernues and Javier Pascual.
Abstract: We give criteria of total incomparability for certain
classes of mixed Tsirelson spaces. We show that spaces of the form
$T[(M_k,\theta_k)_{k=1}^{\ell}]$ with index $i(M_k)$ finite are either
$c_0$ or $\ell_p$ saturated for some $p$ and we characterize when any
two spaces of such a form are totally incomparable in terms of the
index $i(M_k)$ and the parameter $\theta_k$. Also, we give sufficient
conditions of total incomparability for a particular class of spaces of
the form $T[(A_k,\theta_k)_{k=1}^\infty]$ in terms of the asymptotic
behaviour of the sequence $\Vert\sum_{i=1}^n e_i\Vert$ where $(e_i)$
is the canonical basis.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B03; 46B20
Remarks: 13 pages. To be published in Czech. Math. Jour
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Submitted from: bernues at posta.unizar.es
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To: banach at mail.math.okstate.edu
Subject: Conference at York
Date: Sat, 17 Mar 2001 12:42:26 -0600
From: Dale Alspach <alspach at math.okstate.edu>
Sender: owner-banach at mail.math.okstate.edu
Precedence: bulk
YORK OPERATOR THEORY DAY
April 20, 2001
Dear Colleague,
a one-day meeting on Operator Theory with
six 45-minute talks will take place at the
University of York on April 20, 2001, in
Room V/123, Vanbrugh College, University of York.
The meeting is supported by the London Mathematical Society.
Speakers.
- --------
The following speakers have agreed to give a talk:
Oscar Blasco, Universtat de Valencia, Spain (visiting York)
Gordon Blower, University of Lancaster, UK
Isabelle Chalendar, Universite Lyon I (visiting Leeds and York)
Nikolai Nikolskii, Universite Bordeaux I, France (visiting Leeds)
Carsten Michels, University of Leeds, UK
Nicholas Young, University of Newcastle, UK
Preliminary Programme.
- ---------------------
10.30 - 11.00 Coffee and Registration
11.00 - 11.45 Oscar Blasco,
"Vector valued multipliers on Bergman spaces"
11.50 - 12.35 Gordon Blower,
"Almost sure weak convergence for the generalized
orthogonal ensemble"
12.35 - 14.00 Lunch
14.00 - 14.45 Nikolai Nikolskii,
"The current state of things on quotient algebras
of the algebra H^\infty"
14.50 - 15.35 Carsten Michels,
"Eigenvalue estimates for operators and matrices"
15.35 - 16.05 Coffee & Tea
16.05 - 16.50 Isabelle Chalendar,
"On the structure of invariant subspaces for
isometric composition operators"
16.55 - 17.40 Nicholas Young,
"Function theory and geometry in the symmetrised
bidisc"
19.00 Dinner
Registration.
- ------------
Please register by email (sp23 at york.ac.uk)
BEFORE MONDAY, APRIL 9,
indicating whether you would like to stay for dinner.
There will be a 10 pounds registatration fee (waived for
speakers and research students) for coffee and lunch, to be
paid on the day.
Support for Research Students.
- -----------------------------
We can offer limited support with expenses for
research students - please contact sp23 at york.ac.uk.
Travel, Accomodation & Abstracts.
- --------------------------------
Please check the YOTD website
http://www-users.york.ac.uk/~spe1/meeting.shtml
We hope to see you in York!
Simon Eveson Jonathan Partington Sandra Pott
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To: banach at mail.math.okstate.edu
Subject: Death of Yaki Sternfeld
Date: Sun, 25 Mar 2001 16:01:00 -0600
From: Dale Alspach <alspach at math.okstate.edu>
Sender: owner-banach at mail.math.okstate.edu
Precedence: bulk
The Faculty of Science and Science Education
and the Department of Mathematics
of the University of Haifa
Sadly inform you of the passing away of our dear friend and colleague
Professor YAKI STERNFELD
Dean and founder of the Faculty of Science and Science Education.
Who died on the night of March 23 after a long and cruel illness.
Yaki was buried today, in Haifa.
His many friends all over the world will always cherish his memory.
From alspach Tue Mar 27 13:05:04 2001
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Tue, 27 Mar 2001 13:05:04 -0600
Date: Tue, 27 Mar 2001 13:05:04 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200103271905.NAA09068 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by S.A. Avdonin and S.A.Ivanov
Status: R
This is an announcement for the paper "Exponential Riesz bases of
subspaces and divided differences" by S.A. Avdonin and S.A.Ivanov.
Abstract: Linear combinations of exponentials $e^{i\lambda_kt}$ in the
case where the distance between some points $\lambda_k$ tends to zero
are studied. D. Ullrich has proved the basis property of the divided
differences of exponentials in the case when the groups consist of
equal number of points all of them are close enough to integers. We have
generalized this result for groups with arbitrary number of close points
and obtained a full description of Riesz bases of exponential divided
differences. The application to a control problem is presented.
Archive classification: Functional Analysis
Mathematics Subject Classification: 42C15
Remarks: LaTeX, 19 pages
The source file(s), Earchiv.tex: 46854 bytes, is(are) stored in gzipped
form as 0103160.gz with size 17kb. The corresponding postcript file has
gzipped size 76kb.
Submitted from: laser at home.rclph.spbu.ru
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0103160
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http://arXiv.org/abs/math.FA/0103160
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From alspach Thu Apr 12 14:09:20 2001
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Thu, 12 Apr 2001 14:09:20 -0500
Date: Thu, 12 Apr 2001 14:09:20 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200104121909.OAA12362 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by N.J. Kalton and A.E. Litvak
Status: R
This is an announcement for the paper "Quotients of finite-dimensional
quasi-normed spaces" by N.J. Kalton and A.E. Litvak.
Abstract: We study the existence of cubic quotients of finite-dimensional
quasi-normed spaces, that is, quotients well isomorphic to
$\ell_{\infty}^k$ for some $k.$ We give two results of this nature. The
first guarantees a proportional dimensional cubic quotient when the
envelope is cubic; the second gives an estimate for the size of a cubic
quotient in terms of a measure of non-convexity of the quasi-norm.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B07
Remarks: 13 pages
The source file(s), KL5.tex: 31713 bytes, is(are) stored in gzipped
form as 0104120.gz with size 11kb. The corresponding postcript file has
gzipped size 63kb.
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/0104120
or
http://arXiv.org/abs/math.FA/0104120
or by email in unzipped form by transmitting an empty message with
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From alspach Thu Apr 12 14:10:56 2001
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Thu, 12 Apr 2001 14:10:56 -0500
Date: Thu, 12 Apr 2001 14:10:56 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200104121910.OAA12411 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Martin At. Stanev
Status: R
This is an announcement for the paper "Isometries between weighted
uniform spaces" by Martin At. Stanev.
Abstract: The linear isometries between weighted Banach spaces of
continuous functions are considered. Some of well known theorems on
isometries between spaces of continuous functions are proved and stated,
but all they are in an appropriate form. In this paper, we present some
new results, too, and results that extend some of our PhD(1993year)
disertation theorems. We hope this letter will be useful for obtaining
some email friendships.
Archive classification: General Topology; Functional Analysis
Remarks: 20 pages, AMSTeX, Unpublished
The source file(s), Weightsub.tex: 59910 bytes, is(are) stored in gzipped
form as 0104129.gz with size 16kb. The corresponding postcript file has
gzipped size 73kb.
Submitted from: stanevm at mail.uctm.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.GN/0104129
or
http://arXiv.org/abs/math.GN/0104129
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From alspach Thu Apr 12 14:12:12 2001
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Thu, 12 Apr 2001 14:12:12 -0500
Date: Thu, 12 Apr 2001 14:12:12 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200104121912.OAA12452 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by T. Bermudez and N.J. Kalton
Status: R
This is an announcement for the paper "The range of operators on von
Neumann algebras" by T. Bermudez and N.J. Kalton.
Abstract: We prove that for every bounded linear operator $T:X\to X$,
where $X$ is a non-reflexive quotient of a von Neumann algebra, the point
spectrum of $T^*$ is non-empty (i.e. for some $\lambda\in\mathbb C$
the operator $\lambda I-T$ fails to have dense range.) In particular,
and as an application, we obtain that such a space cannot support a
topologically transitive operator.
Archive classification: Functional Analysis
Mathematics Subject Classification: 47A16
Remarks: 8 pages
The source file(s), bermkal.tex: 30659 bytes, is(are) stored in gzipped
form as 0104119.gz with size 10kb. The corresponding postcript file has
gzipped size 52kb.
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/0104119
or
http://arXiv.org/abs/math.FA/0104119
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From alspach Mon Apr 16 17:33:51 2001
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Mon, 16 Apr 2001 17:33:51 -0500
Date: Mon, 16 Apr 2001 17:33:51 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200104162233.RAA05760 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by S. Ivanov and N. Kalton
Status: R
This is an announcement for the paper "Interpolation of subspaces and
applications to exponential bases in Sobolev spaces" by S. Ivanov and
N. Kalton.
Abstract: We give precise conditions under which the real interpolation
space [Y_0,X_1]_{s,p} coincides with a closed subspace of the
corresponding interpolation space [X_0,X_1]_{s,p} when Y_0 is a closed
subspace of X_0 of codimension one. This result is applied to study
the basis properties of nonharmonic Fourier series in Sobolev spaces
H^s on an interval when 0<s<1. The main result: let E be a family of
exponentials exp(i \lambda_n t) and E forms an unconditional basis in
L^2 on an interval. Then there exist two number s_0, s_1 such that E
forms an unconditional basis in H^s for s<s_0, E forms an unconditional
basis in its span with codimension 1 in H^s for s_1<s. For s in [s_0,s_1]
the exponential family is not an unconditional basis in its span.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B70 (Primary) 42C15 (Secondary)
Citation: S.Petersburg Math. J. (Algebra i Analiz) v.13, no.2, pp. 93-115
Remarks: 23 pages, LaTeX
The source file(s), E_arch.tex: 62813 bytes, is(are) stored in gzipped
form as 0104130.gz with size 21kb. The corresponding postcript file has
gzipped size 95kb.
Submitted from: sergei.ivanov at home.rclph.spbu.ru
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0104130
or
http://arXiv.org/abs/math.FA/0104130
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From alspach Mon May 7 09:17:29 2001
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Mon, 7 May 2001 09:17:29 -0500
Date: Mon, 7 May 2001 09:17:29 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200105071417.JAA21281 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Charles Akemann and Nik Weaver
Status: R
This is an announcement for the paper "Geometric characterizations of
some classes of operators in C*-algebras and von Neumann algebras"
by Charles Akemann and Nik Weaver.
Abstract: We present geometric characterizations of the partial
isometries, unitaries, and invertible operators in C*-algebras and von
Neumann algebras.
Archive classification: Operator Algebras; Functional Analysis
Mathematics Subject Classification: 46L05; 47A05; 46B04; 46B20
Remarks: 5 pages
The source file(s), banach2.tex: 15566 bytes, is(are) stored in gzipped
form as 0105037.gz with size 6kb. The corresponding postcript file has
gzipped size 27kb.
Submitted from: nweaver at sulu.wustl.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 Thu May 10 16:53:24 2001
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Thu, 10 May 2001 16:53:24 -0500
Date: Thu, 10 May 2001 16:53:24 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200105102153.QAA06541 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Alexander Barvinok
Status: R
This is an announcement for the paper "Approximating a norm by a
polynomial" by Alexander Barvinok.
Abstract: We prove that for any norm |*| in the d-dimensional real vector
space V and for any odd n>0 there is a non-negative polynomial p(x),
x in V of degree 2n such that p^{1/2n}(x) < |x| < c(n,d) p^{1/2n}(x),
where c(n,d)={n+d-1 choose n}^{1/2n}. Corollaries and polynomial
approximations of the Minkowski functional of a convex body are discussed.
Archive classification: Functional Analysis; Metric Geometry
Mathematics Subject Classification: 46B07 68W25
Remarks: 5 pages
The source file(s), norm.tex: 11779 bytes, is(are) stored in gzipped
form as 0105069.gz with size 4kb. The corresponding postcript file has
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Submitted from: barvinok at math.lsa.umich.edu
The paper may be downloaded from the archive by web browser from URL
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X-Mailer: exmh version 2.0.3
To: banach at mail.math.okstate.edu
Subject: Measure Theory Vol 2
Reply-to: Fremlin D H <fremdh at essex.ac.uk>
Mime-Version: 1.0
Content-Type: text/plain; charset=us-ascii
Date: Mon, 21 May 2001 12:55:09 -0500
From: Dale Alspach <alspach at math.okstate.edu>
Sender: owner-banach at mail.math.okstate.edu
Precedence: bulk
I am pleased to announce that Volume 2 of my treatise "Measure Theory"
is now available. Chapter headings are
Taxonomy of measure spaces
The fundamental theorem of calculus
The Radon-Nikodym theorem
Function spaces
Product measures
Change of variable in the integral
Probability theory
Fourier analysis.
For full contents, see http://www.essex.ac.uk/maths/staff/fremlin/mtcont.htm.
For prices and how to buy it, see
http://www.essex.ac.uk/maths/staff/fremlin/mtsales.htm.
David Fremlin
From alspach Mon May 21 13:46:43 2001
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Mon, 21 May 2001 13:46:43 -0500
Date: Mon, 21 May 2001 13:46:43 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200105211846.NAA29279 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Charles A. Akemann and Nik Weaver
Status: R
This is an announcement for the paper "Automatic convexity" by Charles
A. Akemann and Nik Weaver.
Abstract: In many cases the convexity of the image of a linear map with
range is $R^n$ is automatic because of the facial structure of the domain
of the map. We develop a four step procedure for proving this kind of
``automatic convexity''. To make this procedure more efficient, we prove
two new theorems that identify the facial structure of the intersection
of a convex set with a subspace in terms of the facial structure of the
original set.
Let $K$ be a convex set in a real linear space $X$ and let $H$ be a
subspace of X that meets $K$. In Part I we show that the faces of $K\cap H$
have the form $F\cap H$ for a face $F$ of $K$. Then we extend our
intersection theorem to the case where $X$ is a locally convex linear
topological space, $K$ and $H$ are closed, and $H$ has finite codimension
in $X$. In Part II we use our procedure to ``explain'' the convexity
of the numerical range (and some of its generalizations) of a complex
matrix. In Part III we use the topological version of our intersection
theorem to prove a version of Lyapunov's theorem with finitely many
linear constraints. We also extend Samet's continuous lifting theorem
to the same constrained siuation.
Archive classification: Functional Analysis; Operator Algebras
Mathematics Subject Classification: 46A55; 47A12; 46G10
Remarks: 10 pages
The source file(s), convex.tex: 32087 bytes, is(are) stored in gzipped
form as 0105156.gz with size 11kb. The corresponding postcript file has
gzipped size 46kb.
Submitted from: nweaver at sulu.wustl.edu
The paper may be downloaded from the archive by web browser from URL
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From alspach Tue Jun 5 09:08:33 2001
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Tue, 5 Jun 2001 09:08:33 -0500
Date: Tue, 5 Jun 2001 09:08:33 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200106051408.JAA05799 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Anna Maria Pelczar
Status: R
This is an announcement for the paper "Subsymmetric sequences and minimal
spaces" by Anna Maria Pelczar.
Abstract: We show that every Banach space saturated with subsymmetric
sequences contains a minimal subspace.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B20;46B15
Remarks: 8 pages
The source file(s), Minimal.tex: 26937 bytes, is(are) stored in gzipped
form as 0106023.gz with size 9kb. The corresponding postcript file has
gzipped size 47kb.
Submitted from: apelczar at im.uj.edu.pl
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From alspach Thu Jun 14 16:29:11 2001
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Thu, 14 Jun 2001 16:29:10 -0500
Date: Thu, 14 Jun 2001 16:29:10 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200106142129.QAA02709 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Jesus Araujo and Krzysztof Jarosz
Status: R
This is an announcement for the paper "Automatic continuity of
biseparating maps" by Jesus Araujo and Krzysztof Jarosz.
Abstract: We prove that a biseparating map between spaces of vector-valued
continuous functions is usually automatically continuous. However,
we also discuss special cases when it is not true.
Archive classification: Functional Analysis
Mathematics Subject Classification: 47B33 (Primary) 46H40, 47B38, 46E40,
46E25 (Secondary)
Remarks: 8 pages; no figures
The source file(s), biseparatingJune12.TEX: 27174 bytes, is(are) stored
in gzipped form as 0106106.gz with size 9kb. The corresponding postcript
file has gzipped size 45kb.
Submitted from: araujoj at unican.es
The paper may be downloaded from the archive by web browser from URL
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From alspach Thu Jun 14 16:29:49 2001
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Thu, 14 Jun 2001 16:29:49 -0500
Date: Thu, 14 Jun 2001 16:29:49 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200106142129.QAA02747 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Jesus Araujo and Krzysztof Jarosz
Status: R
This is an announcement for the paper "Biseparating maps between operator
algebras" by Jesus Araujo and Krzysztof Jarosz.
Abstract: We prove that a biseparating map between spaces B(E), and
some other Banach algebras, is automatically continuous and an algebra
isomorphism.
Archive classification: Operator Algebras; Functional Analysis
Mathematics Subject Classification: 47L10 (Primary) 46H40, 46B28
(Secondary)
Remarks: 7 pages; no figures
The source file(s), algebra-biseparating-June10.tex: 29358 bytes, is(are)
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From alspach Thu Jun 14 16:31:37 2001
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Thu, 14 Jun 2001 16:31:37 -0500
Date: Thu, 14 Jun 2001 16:31:37 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200106142131.QAA02796 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Stephen Montgomery-Smith
Status: R
This is an announcement for the paper "Rearrangement invariant norms of
symmetric sequence norms of independent sequences of random variables"
by Stephen Montgomery-Smith.
Abstract: Let X_1, X_2,..., X_n be a sequence of independent random
variables, let M be a rearrangement invariant space on the underlying
probability space, and let N be a symmetric sequence space. This paper
gives an approximate formula for the quantity || ||(X_i)||_N ||_M whenever
L_q embeds into M for some 1 le q < infty. This extends work of Johnson
and Schechtman who tackled the cases when N = l_1 or N = l_2, and recent
work of Gordon, Litvak, Schuett and Werner who obtained similar results
for Orlicz spaces.
Archive classification: Probability Theory; Functional Analysis
Mathematics Subject Classification: 60G50, 46B45, 46E30
Remarks: Also available at
http://www.math.missouri.edu/~stephen/preprints/
The source file(s), rand_ri_ss4.tex: 19523 bytes, is(are) stored in
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Submitted from: stephen at math.missouri.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.PR/0106114
or
http://arXiv.org/abs/math.PR/0106114
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From alspach Fri Jun 29 14:25:44 2001
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Date: Fri, 29 Jun 2001 14:25:44 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200106291925.OAA12919 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Dmitriy Bilik, Vladimir Kadets, Roman Shvidkoy, Gleb Sirotkin and Dirk Werner
Status: R
This is an announcement for the paper "Narrow operators on vector-valued
sup-normed spaces" by Dmitriy Bilik, Vladimir Kadets, Roman Shvidkoy,
Gleb Sirotkin and Dirk Werner.
Abstract: We characterise narrow and strong Daugavet operators on
$C(K,E)$-spaces; these are in a way the largest sensible classes of
operators for which the norm equation $\|Id+T\| = 1+\|T\|$ is valid. For
certain separable range spaces $E$ including all finite-dimensional
ones and locally uniformly convex ones we show that an unconditionally
pointwise convergent sum of narrow operators on $C(K,E)$ is narrow,
which implies for instance the known result that these spaces do not
have unconditional FDDs. In a different vein, we construct two narrow
operators on $C([0,1],\ell_1)$ whose sum is not narrow.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B20 (Primary) 46B04, 46B28, 46E40,
47B38 (Secondary)
Remarks: 19 pages
The source file(s), dauga8.tex: 61577 bytes, is(are) stored in gzipped
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gzipped size 82kb.
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/0106227
or
http://arXiv.org/abs/math.FA/0106227
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From alspach at ms417l.math.okstate.edu Thu Jul 12 17:04:46 2001
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Reply-to: Bill Johnson <Bill.Johnson at math.tamu.edu>
To: banach at mail.math.okstate.edu
Subject: SUMIRFAS
Date: Wed, 11 Jul 2001 20:26:13 -0500
From: Dale Alspach <alspach at math.okstate.edu>
Sender: owner-banach at mail.math.okstate.edu
Precedence: bulk
ANNOUNCEMENT OF SUMIRFAS '01
The
Informal Regional Functional Analysis Seminar
August 3-5
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. Bill Johnson
is organizing a Concentration Week on Geometric Non Linear Analysis
August 6-10. Contact him if you are interested in participating.
Housing: Contact Cheryl Williams, (cherylr at math.tamu.edu; 979/845-2915,
office; 979/ 845-6028, fax) for help with housing. Please tell Cheryl the
type of accommodation you desire (smoking or nonsmoking), which night(s)
you need the room, and give her a roommate preference, if applicable.
We expect to be able to cover housing, possibly in a double room, for most
participants, from support the National Science Foundation has provided for
the Workshop. Preference will be given to participants who do not have other
sources of support, such as sponsored research grants. When you ask Cheryl
to book your room, please tell her if you are requesting support.
Dinner: There will be a dinner at 6:30 p.m. on Saturday, August 4, 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 Williams 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 1
and PAYMENT MADE BY AUGUST 4. **
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 Tue Jul 17 16:58:37 2001
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Date: Tue, 17 Jul 2001 16:58:37 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200107172158.QAA00950 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Oleg I. Reinov
Status: R
This is an announcement for the paper "On linear operators with
$p$-nuclear adjoints" by Oleg I. Reinov.
Abstract: If $ p\in [1,+\infty]$ and $ T$ is a linear operator with $
p$-nuclear adjoint from a Banach space $ X$ to a Banach space $ Y$ then
if one of the spaces $ X^*$ or $ Y^{***}$ has the approximation property,
then $ T$ belongs to the ideal $N^p$ of operators which can be factored
through diagonal oparators $l_{p'}\to l_1.$ On the other hand, there
is a Banach space $ W$ such that $ W^{**}$ has a basis and such that
for each $ p\in [1,+\infty], p\neq 2,$ there exists an operator $ T:
W^{**}\to W$ with $ p$-nuclear adjoint that is not in the ideal $N^p,$
as an operator from $ W^{**}$ to $ W.$
Archive classification: Functional Analysis
Citation: Vestnik SPb GU, ser. Matematika, 4 (2000), 24-27 (in Russia)
Remarks: 6 pages, AMSTeX
The source file(s), text: 13832 bytes, is(are) stored in gzipped form as
0107113.gz with size 5kb. The corresponding postcript file has gzipped
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Submitted from: orein at orein.usr.pu.ru
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0107113
or
http://arXiv.org/abs/math.FA/0107113
or by email in unzipped form by transmitting an empty message with
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From alspach Wed Jul 18 14:51:29 2001
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Wed, 18 Jul 2001 14:51:29 -0500
Date: Wed, 18 Jul 2001 14:51:29 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200107181951.OAA13559 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Oleg I. Reinov
Status: R
This is an announcement for the paper "Approximation properties AP_s
and p-nuclear operators (the case where 0<s <= 1)" by Oleg I. Reinov.
Abstract: Among other things, it is shown that there exist Banach
spaces $Z$ and $W$ such that $Z^{**}$ and $W$ have bases, and for every
$p\in[1,2)$ there is an operator $T:W\to Z$ that is not $p$-nuclear but
$T^{**}$ is $p$-nuclear.
Archive classification: Functional Analysis
Citation: Zapiski nauchn. sem. POMI, 270 (2000), 277-291 (in Russian)
Remarks: 15 pages, AMSTeX
The source file(s), text: 37532 bytes, is(are) stored in gzipped form as
0107124.gz with size 12kb. The corresponding postcript file has gzipped
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Submitted from: orein at orein.usr.pu.ru
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0107124
or
http://arXiv.org/abs/math.FA/0107124
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From alspach Fri Jul 20 16:13:40 2001
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Fri, 20 Jul 2001 16:13:39 -0500
Date: Fri, 20 Jul 2001 16:13:39 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200107202113.QAA09609 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Dmitriy Bilik, Vladimir Kadets, Roman Shvidkoy, and Dirk Werner
Status: R
This is an announcement for the paper "Narrow operators and the Daugavet
property for ultraproducts" by Dmitriy Bilik, Vladimir Kadets, Roman
Shvidkoy, and Dirk Werner.
Abstract: We show that if $T$ is a narrow operator on $X=X_{1}\oplus_{1}
X_{2}$ or $X=X_{1}\oplus_{\infty} X_{2}$, then the restrictions to
$X_{1}$ and $X_{2}$ are narrow and conversely. We also characterise by a
version of the Daugavet property for positive operators on Banach lattices
which unconditional sums of Banach spaces inherit the Daugavet property,
and we study the Daugavet property for ultraproducts.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B04; 46B08; 46B20; 46M07
Remarks: 19 pages
The source file(s), dauga9.tex: 46215 bytes, is(are) stored in gzipped
form as 0107132.gz with size 14kb. The corresponding postcript file has
gzipped size 70kb.
Submitted from: werner at math.fu-berlin.de
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http://front.math.ucdavis.edu/math.FA/0107132
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http://arXiv.org/abs/math.FA/0107132
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From alspach Mon Jul 23 13:39:48 2001
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Mon, 23 Jul 2001 13:39:47 -0500
Date: Mon, 23 Jul 2001 13:39:47 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200107231839.NAA16964 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Oleg I. Reinov
Status: R
This is an announcement for the paper "On factorization of operators
through the spaces $ l^p.$" by Oleg I. Reinov.
Abstract: We give conditions on a pair of Banach spaces $ X$ and $ Y,$
under which each operator from $ X$ to $ Y,$ whose second adjoint factors
compactly through the space $ l^p,\,$ $ 1\le p\le+\infty,\,$ itself
compactly factors through $ l^p.$ The conditions are as follows: either
the space $ X^*,$ or the space $ Y^{***}$ possesses the Grothendieck
approximation property. Leaving the corresponding question for parameters
$ p>1,\,p\neq 2,$ still open, we show that for $ p=1$ the conditions
are essential.
Archive classification: Functional Analysis
Citation: Vestnik SPb GU, ser. Matematika, 2 (2000), 27-32 (in Russian)
Remarks: 8 pages, AMSTeX; for the next paper see math.FA/0107113
The source file(s), text: 19670 bytes, is(are) stored in gzipped form as
0107153.gz with size 7kb. The corresponding postcript file has gzipped
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Submitted from: orein at orein.usr.pu.ru
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0107153
or
http://arXiv.org/abs/math.FA/0107153
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From alspach at ms417l.math.okstate.edu Thu Jul 26 15:55:21 2001
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X-Mailer: exmh version 2.0.3
Reply-to: Bill Johnson <Bill.Johnson at math.tamu.edu>
To: banach at mail.math.okstate.edu
Subject: SUMIRFAS
Mime-Version: 1.0
Content-Type: text/plain; charset=us-ascii
Date: Thu, 26 Jul 2001 15:45:59 -0500
From: Dale Alspach <alspach at math.okstate.edu>
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ANNOUNCEMENT OF SUMIRFAS '01
The
Informal Regional Functional Analysis Seminar
August 3-5
Texas A&M University, College Station
Schedule: Talks for SUMIRFAS will be posted on the Workshop in
Linear Analysis and Probability page, URL
http://www.math.tamu.edu/research/workshops/linanalysis/
Below is a list of speakers, current as of July 26.
The Home Page also contains other information about the Workshop,
including a list of participants and a schedule of seminars. Bill Johnson
is organizing a Concentration Week on Geometric Non Linear Analysis
August 6-10. Contact him if you are interested in participating.
Housing: Contact Cheryl Williams, (cherylr at math.tamu.edu; 979/845-2915,
office; 979/ 845-6028, fax) for help with housing. Please tell Cheryl the
type of accommodation you desire (smoking or nonsmoking), which night(s)
you need the room, and give her a roommate preference, if applicable.
We expect to be able to cover housing, possibly in a double room, for most
participants, from support the National Science Foundation has provided for
the Workshop. Preference will be given to participants who do not have other
sources of support, such as sponsored research grants. When you ask Cheryl
to book your room, please tell her if you are requesting support.
Dinner: There will be a dinner at 6:30 p.m. on Saturday, August 4, 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 Williams 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 1
and PAYMENT MADE BY AUGUST 4. **
W. Johnson, johnson at math.tamu.edu
D. Larson, larson at math.tamu.edu
G. Pisier,pisier at math.tamu.edu
J. Zinn, jzinn at math.tamu.edu
SUMIRFAS talks
M. Csornyei, On the visibility of invisible sets
T. Figiel, Commutator Structure of Operator Ideals
M. Girardi, Operator-valued Fourier multiplier theorems and Geometry
of Banach Spaces
A. Hopenwasser, Non-self-adjoint versions of Kadison's Transitivity Theorem
N. Kalton, Euclidean structures in Banach spaces
J. Lindenstrauss, A survey of differentiability of Lipschitz functions
T. Oikhberg, An example of a pathological operator space
M. Ostrovskii, Minimal-volume shadows of cubes
M. Papadakis, Frames of translates of abstract Hilbert spaces, wavelets
and oversampling.
V. Paulsen, C*-envelopes and Interpolation
D. Preiss, Why should Lipschitz mappings be more regular than it seems?
H. P. Rosenthal, On certain operator algebras with invariant subspaces
From alspach at ms417l.math.okstate.edu Sat Aug 4 08:30:46 2001
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To: banach at mail.math.okstate.edu
Reply-to: aron at mcs.kent.edu
Subject: Conference at Pohang
Date: Sat, 04 Aug 2001 08:19:15 -0500
From: Dale Alspach <alspach at math.okstate.edu>
Sender: owner-banach at mail.math.okstate.edu
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Infinite Dimensional Function Theory
August 12 - 16, 2002
at Pohang University of Science and Technology (POSTECH)
Description: The meeting's formal name is `International Conference
on Infinite Dimensional Function Theory in Pohang, a Satellite
Conference to the International Congress of Mathematics 2002 in
Beijing', and in abbreviated form: `Infinite Dimensional Function Theory
Pohang 2002'. It will take place in Pohang, South Korea as a joint venture
of `Pohang University of Science and Technology (POSTECH)' and `Combi-
natorial and Computational Mathematics Center (Com2Mac)' in the week
before ICM 2002; i.e., August 12-16, 2002. This conference will focus on cur-
rent research progress of polynomials and holomorphic mappings on infinite
dimensional spaces and applications of this research.
Organizing Committee: R.M. Aron (Kent State Univ., USA), Y.S. Choi
(POSTECH, Korea), S. Dineen (UCD, Ireland), J.G. Llavona (Univ. Com-
plutense Madrid, Spain), M. Nishihara (Fukuoka Inst. Tech., Japan), M.
Maestre (Univ. Valencia, Spain)
Invited Speakers (tentative): R.M. Aron (USA), S. Dineen (Ireland), L.
Harris (USA), T. Gamelin (USA), J.G. Llavona (Spain), M. Maestre (Spain),
J. Mujica (Brazil), R. Pay'a (Spain), Y. Sarantopoulos (Greece), I. Zalduendo
(Argentina)
Contributed Talks and Posters: Contributed posters will be presented
at extended poster sessions during the meeting. Approximately 20-25 con-
tributed talks of 30 minutes each will be selected by the program committee
from among those who wish to be considered for a contributed talk.
Conference Deadlines: April 15: Abstract for talks/posters.
May 15: Notification of acceptance of contributed talks/posters.
Contact: Yun Sung Choi (Department of Mathematics Pohang University
of Science and Technology (POSTECH) Pohang, South Korea (790-784)).
e-mail : conf at euclid.postech.ac.kr
Information: Regularly updated information can be obtained from the Web
Page http://www.postech.ac.kr/math/conf
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To: banach at mail.math.okstate.edu
Reply-To: geiss at math.jyu.fi
Subject: Workshop on Harmonic Analysis and Stochastics
Date: Thu, 09 Aug 2001 12:52:59 -0500
From: Dale Alspach <alspach at math.okstate.edu>
Sender: owner-banach at mail.math.okstate.edu
Precedence: bulk
Workshop on Harmonic Analysis and Stochastics
(Second Announcement)
Monday 27 - Wednesday 29, August 2001
Department of Mathematics and Statistics
University of Jyvaeskylae
The workshop is intended to bring together researchers and
graduate students interested in Harmonic Analysis and its
interaction with Stochastics
The conference is supported by the Research Foundation of the
Rolf Nevanlinna Institute, by the Vaisala Foundation and by the
University of Jyvaeskylae.
Invited speakers
- - ----------------
Haakan Hedenmalm (Lund)
My view on Bergman Spaces
Peter Jones (Yale)
TBA
Antti Kupiainen (Helsinki)
Stochastic differential equations in turbulence
Pertti Mattila (Jyvaeskylae)
Analytic capacity and some related topics
Stephen Montgomery-Smith (Missouri, Columbia):
1) End point Strichartz inequalities
2) Sums of independent random variables
Paul F.X. Mueller (Linz)
Holomorphic martingales: Their use in complex analysis
Steffen Rohde (Washington)
Basic properties of SLE
Alexander Volberg (Michigan State)
Bellman envelope of harmonic analysis problems
1) Case study
2) Circling around p-1
Place
- - -----
Department of Mathematics and Statistics
University of Jyvaeskylae
P.O. Box 35 (MaD)
FIN-40351 Jyvaeskylae
Finland
Conference web page:
- - -------------------
http://www.math.jyu.fi/research/hast/
Program
- - -------
The scientific program starts at noon, Monday, August 27-th
and ends Wednesday, August 29-th. Up to date information on
the program can be found on the conference web page.
Conference fee: The participation is free.
- - --------------
Accommodation
- - -------------
We ask the participants to book the hotel herself/himself. A list of
hotels and further information can be found on the conference web
page. If there are problems in finding an accommodation please
contact the organizers via hast at maths.jyu.fi.
Registration
- - ------------
Please register with Name, First name, affiliation, expected
duration of stay, and e-mail address under:
hast at maths.jyu.fi
Eira Henriksson
Phone : ++358-14-260 2710
Fax : ++358-14-260 2701
Organizers
- - ----------
Kari Astala astala at math.jyu.fi
Stefan Geiss geiss at math.jyu.fi
Eero Saksman eero.saksman at tut.fi
From alspach Tue Aug 21 12:33:25 2001
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Date: Tue, 21 Aug 2001 12:33:25 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200108211733.f7LHXP605007 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Frank Oertel
Status: R
This is an announcement for the paper "On normed products of operator
ideals which contain $\frak{L}_2$ as a factor" by Frank Oertel.
Abstract: We investigate quasi-Banach operator ideal products
$({\frak{A}}\circ{\frak{B}},\mathbf{A\circ B})$ which contain
$(\frak{L}_2, \mathbf{L}_2)$ as a factor. In particular, we ask for
conditions which guarantee that $\mathbf{A\circ B}$ is even a norm if
each factor of the product is a $1$-Banach ideal. In doing so, we reveal
the strong influence of the existence of such a norm in relation to the
accessibility of the product ideal and the structure of its factors.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46A32, 46M05, 47L20 (primary); 46B07,
46B10, 46B28 (secondary)
The source file(s), pp6revision.tex: 36123 bytes, is(are) stored in
gzipped form as 0108123.gz with size 10kb. The corresponding postcript
file has gzipped size 58kb.
Submitted from: frank.oertel at freesurf.ch
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0108123
or
http://arXiv.org/abs/math.FA/0108123
or by email in unzipped form by transmitting an empty message with
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uget 0108123
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From alspach Thu Aug 30 13:25:25 2001
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Date: Thu, 30 Aug 2001 13:25:25 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200108301825.f7UIPPf00575 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Gilles Pisier and Dimitri Shlyakhtenko
Status: R
This is an announcement for the paper "Grothendieck's theorem for operator
spaces" by Gilles Pisier and Dimitri Shlyakhtenko.
Abstract: We prove several versions of Grothendieck's Theorem for
completely bounded linear maps $T\colon \ E \to F^*$, when $E$ and
$F$ are operator spaces. We prove that if $E,F$ are $C^*$-algebras,
of which at least one is exact, then every completely bounded $T\colon
\ E \to F^*$ can be factorized through the direct sum of the row and
column Hilbert operator spaces. Equivalently $T$ can be decomposed as
$T=T_r+T_c$ where $T_r$ (resp. $T_c$) factors completely boundedly
through a row (resp. column) Hilbert operator space. This settles
positively (at least partially) some earlier conjectures of Effros-Ruan
and Blecher on the factorization of completely bounded bilinear forms on
$C^*$-algebras. Moreover, our result holds more generally for any pair
$E,F$ of ``exact" operator spaces. As a corollary we prove that, up to
a complete isomorphism, the row and column Hilbert operator spaces and
their direct sums are the only operator spaces $E$ such that both $E$
and its dual $E^*$ are exact.
Archive classification: Operator Algebras; Functional Analysis
The source file(s), gt.dima: 64665 bytes, is(are) stored in gzipped
form as 0108205.gz with size 21kb. The corresponding postcript file has
gzipped size 84kb.
Submitted from: gip at ccr.jussieu.fr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.OA/0108205
or
http://arXiv.org/abs/math.OA/0108205
or by email in unzipped form by transmitting an empty message with
subject line
uget 0108205
or in gzipped form by using subject line
get 0108205
to: math at arXiv.org.
From alspach at ms417l.math.okstate.edu Wed Sep 12 09:11:47 2001
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Subject: Handbook of the Geometry of Banach Spaces, I
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Date: Wed, 12 Sep 2001 08:42:24 -0500
From: Dale Alspach <alspach at math.okstate.edu>
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The Handbook of the Geometry of Banach Spaces, Volume 1
Edited by
W.B. Johnson, Texas A&M University, TX, USA
J. Lindenstrauss, The Hebrew University of Jerusalem, Israel
has recently been published.
For ordering information, description and table of contents see
http://www.math.tamu.edu/~bill.johnson/lindenstraussflyer.pdf
(discount)
and Elsevier's site
http://www.elsevier.nl/inca/publications/store/6/2/1/9/3/1/621931.pub.htt
Dale Alspach
From alspach at ms417l.math.okstate.edu Fri Sep 14 08:15:38 2001
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Subject: Handbook of the Geometry of Banach Spaces
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From: Dale Alspach <alspach at math.okstate.edu>
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Andy Deelen at Elsevier has provided a special 30% off offer for volume
one of the Handbook of the Geometry of Banach Spaces, valid until November
30, 2001. This is NOT available on the Elsevier web site. Use the order
form posted at
http://www.math.tamu.edu/~bill.johnson/lindenstraussflyer.pdf
or e-mail Andy at
a.deelen at elsevier.nl
From alspach at ms417l.math.okstate.edu Wed Sep 19 12:41:11 2001
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Subject: Informal Analysis Seminar at Kent State
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DEPARTMENT OF MATHEMATICAL SCIENCES
INFORMAL ANALYSIS SEMINAR
KENT STATE UNIVERSITY
SATURDAY, OCTOBER 13, 2001
Speakers
Mar'ia Acosta Universidad de Granada
Characterizations of reflexivity
Pablo Galindo Universidad de Valencia
Factorization of homomorphisms through H^infinity
Josip Globevnik University of Ljubljana and University of Michigan
Analytic discs containing given discrete sets
Gustavo Mu"noz Universidad Complutense de Madrid and Kent State
University
Bernstein and Markov type inequalities for
polynomials on real Banach spaces
There will be a free light lunch preceding the meeting from
around noon, and talks will begin around 1 PM. We will adjourn
to a local restaurant after the talks for dinner. We can arrange
accommodation, and all are most welcome.
Richard Aron
Joe Diestel
Per Enflo
Vladimir Gurariy
Victor Lomonosov
Andrew Tonge
From alspach at ms417l.math.okstate.edu Thu Sep 20 09:47:18 2001
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Subject: Handbook of the Geometry of Banach Spaces, Volume I
Reply-to: "Diesnis, Olivier \(ELS\)" <O.Diesnis at elsevier.nl>
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Date: Thu, 20 Sep 2001 09:41:15 -0500
From: Dale Alspach <alspach at math.okstate.edu>
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Dear Mathematician,
The Handbook of the Geometry of Banach Spaces, Volume 1 by W.B. Johnson, J.
Lindenstrauss has just been published.
The Handbook presents an overview of most aspects of modern Banach space
theory and its applications. The up-to-date surveys, authored by leading
research workers in the area, are written to be accessible to a wide
audience.
This magnificient volume is offered at a 30% discount. More information and
the special order form are available from the following website only:
http://www.mathformath.com
Olivier Diesnis
Mathematics
Elsevier Science BV
Sara Burgerhartstraat 25
1055 KV Amsterdam
The Netherlands
Tel (+31) 20 485 2821
Fax (+31) 20 485 2425
http://www.mathformath.com
From alspach at ms417l.math.okstate.edu Thu Sep 20 11:39:29 2001
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Reply-to: mcwikel at math.technion.ac.il
Subject: Conference in Analysis at the Technion
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Date: Thu, 20 Sep 2001 11:36:45 -0500
From: Dale Alspach <alspach at math.okstate.edu>
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Dear friends and colleagues:
We are planning a
Conference in Analysis
in honour of our friend and colleague Yuri Brudnyi, to mark the occasion
of his retirement after a mathematical career of some fifty years. It will
be held here at the Technion from Thursday, May 23 through Tuesday, May
28, 2002.
The conference will deal with topics related to some (but certainly not
all) of Yuri's research interests. More particularly it will concentrate
on Interpolation Space Theory, Approximation Theory, Harmonic Analysis and
Functional Analysis.
Those who have informed us so far of their intention to participate
include:
J. Arazy, I. Asekritova E. Belinsky R. DeVore, V. Dolnikov, M. Ganzburg E.
Gorin L. Hanin N. Kalton, N. Krugljak, I. Irodova V. Lin, J.
Lindenstrauss, Y. Lyubich, V. Matsaev, V. Milman, B. Mityagin, A. Olevski,
V. Ovchinnikov, A. Pelczynski, G. Pisier, E. Pustylnik Y. Sagher, E.
Semenov, M. Solomiak, V. Tikhomirov, R. Trigub
For future updates of this announcement and additional information see
http://www.math.technion.ac.il/institute
and, more specifically
http://www.math.technion.ac.il/institute/analysis.htm
If, as we hope, you too would like to join us on this occasion please
register using the form available at the above webpage (by clicking on the
last line of the page.) The form can be emailed, posted or faxed to the
secretary of our Institute, Sylvia Schur <iasm at techunix.technion.ac.il>
Please feel free to also contact us directly if you have any questions.
We look forward to seeing you in Haifa.
Best wishes,
Michael Cwikel, Allan Pinkus, Pavel Shvartsman
(Organizing committee)
Our email addresses are:
mcwikel at math.techion.ac.il
pinkus at techunix.technion.ac.il
pshv at techunix.technion.ac.il
This conference is one of the activities being held in the framework of
the Institute of Advanced Studies in Mathematics at the Technion.
From alspach Wed Oct 3 07:55:04 2001
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Date: Wed, 3 Oct 2001 07:55:04 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200110031255.f93Ct4b24974 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Mark Hoffmann
Status: R
This is an announcement for the paper "The Banach envelope of Paley-Wiener
type spaces" by Mark Hoffmann.
Abstract: We give an explicit computation of the Banach envelope for
the Paley-Wiener type spaces $E^p,\, 0<p<1$.
This answers a question by Joel Shapiro.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46A16; 30D15
Remarks: 6 pages
The source file(s), paley5.tex: 17663 bytes, is(are) stored in gzipped
form as 0109206.gz with size 7kb. The corresponding postcript file has
gzipped size 42kb.
Submitted from: mathgr26 at math.missouri.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0109206
or
http://arXiv.org/abs/math.FA/0109206
or by email in unzipped form by transmitting an empty message with
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uget 0109206
or in gzipped form by using subject line
get 0109206
to: math at arXiv.org.
From alspach at ms417l.math.okstate.edu Fri Oct 12 13:09:33 2001
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Reply-to: j_diestel at hotmail.com
To: banach at mail.math.okstate.edu
Subject: The Lindenstauss Festival at Kent State
Approved: eladrd
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Date: Fri, 12 Oct 2001 13:17:00 -0500
From: Dale Alspach <alspach at ms417l.math.okstate.edu>
On December 15, 2001 Kent State University will award Professor Joram
Lindenstrauss an Honorary doctoral degree. In conjunction with that award,
the Banach Center of Kent State will hold a small conference in honor of
Joram. Plans call for the conference to run from December 12 through
December 14.
At present funding for the conference is up-in-the-air. In any case, we
will be reporting updates as regards to speakers and funds as the
information becomes available.
If interested, contact j_diestel at hotmail.com
Joe Diestel
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Subject: Publication of "The concentration of Measure Phenomenon"
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
THE CONCENTRATION OF MEASURE PHENOMENON
Michel Ledoux
This book presents the basic aspects of the
concentration of measure phenomenon that was put forward in the early
seventies, and emphasized since then, by V. Milman in asymptotic geometric
analysis. It has now become of powerful interest in applications,
in various areas such as geometry, functional analysis and infinite
dimensional integration, discrete mathematics and complexity theory, and
probability theory. This book is concerned with the basic techniques and
examples of the concentration of measure phenomenon. A particular
emphasis has been put on geometric, functional and probabilistic
tools to reach and describe measure concentration in a number of settings,
as well as on M. Talagrand's investigation of concentration
in product spaces and its application in discrete mathematics
and probability theory.
Mathematical Surveys and Monographs 89 (181 p.) AMS 2001
ledoux at cict.fr
URL http://www.lsp.ups-tlse.fr/Ledoux/
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
__________________________________________________________________________
Michel Ledoux ledoux at cict.fr
Institut de Mathematiques Fax : 05 61 55 60 89
Universite de Toulouse http://www.lsp.ups-tlse.fr/Ledoux/
F-31062 Toulouse, France
From alspach Tue Oct 16 08:53:04 2001
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Date: Tue, 16 Oct 2001 08:53:04 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200110161353.f9GDr4f10135 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.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 "The Bourgain ell^1-index of mixed
Tsirelson space" by Denny H. Leung and Wee-Kee Tang.
Abstract: Suppose that (F_n)_{n=0}^{\infty } is a sequence of regular
families of finite subsets of N such that F_0 contains all singletons,
and (\theta _n)_{n=1}^{\infty } is a nonincreasing null sequence in
(0,1). In this paper, we compute the Bourgain \ell ^1 - index of the mixed
Tsirelson space T(F_0,(\theta_n, F_n)_{n=1}^{\infty }). As a consequence,
it is shown that if \eta is a countable ordinal not of the form \omega
^\xi for some limit ordinal \xi, hen there is a Banach space whose \ell
^1-index is \omega ^\eta . This answers a question of Judd and Odell.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B
Remarks: 25 pages
The source file(s), MTS_DLeungWTang.tex: 101046 bytes, is(are) stored in
gzipped form as 0110154.gz with size 23kb. The corresponding postcript
file has gzipped size 113kb.
Submitted from: wktang at nie.edu.sg
The paper may be downloaded from the archive by web browser from URL
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Tue, 16 Oct 2001 08:54:22 -0500
Date: Tue, 16 Oct 2001 08:54:22 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200110161354.f9GDsMA10184 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Lorenz Halbeisen and Edward Odell
Status: R
This is an announcement for the paper "On asymptotic models in Banach
spaces" by Lorenz Halbeisen and Edward Odell.
Abstract: A well known application of Ramsey's Theorem to Banach
Space Theory is the notion of a spreading model (e'_i) of a normalized
basic sequence (x_i) in a Banach space X. We show how to generalize the
construction to define a new creature (e_i), which we call an asymptotic
model of X. Every spreading model of X is an asymptotic model of X and
in most settings, such as if X is reflexive, every normalized block
basis of an asymptotic model is itself an asymptotic model. We also
show how to use the Hindman-Milliken Theorem---a strengthened form of
Ramsey's Theorem---to generate asymptotic models with a stronger form
of convergence.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B45; 05D10; 46B35; 05D05; 46B20
Remarks: 33 pages
The source file(s), halb-odell.tex: 120684 bytes, is(are) stored in
gzipped form as 0110146.gz with size 34kb. The corresponding postcript
file has gzipped size 153kb.
Submitted from: halbeis at queens-belfast.ac.uk
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0110146
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From alspach Thu Oct 18 11:35:31 2001
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Thu, 18 Oct 2001 11:35:31 -0500
Date: Thu, 18 Oct 2001 11:35:31 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200110181635.f9IGZVB14156 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Mikhail M. Popov and Beata Randrianantoanina
Status: R
This is an announcement for the paper "A pseudo-Daugavet property for
narrow projections in Lorentz spaces" by Mikhail M. Popov and Beata
Randrianantoanina.
Abstract: Let $X$ be a rearrangement-invariant space. An operator
$T: X\to X$ is called narrow if for each measurable set $A$ and each
$\varepsilon > 0$ there exists $x \in X$ with $x^2= \chi_A,\ \int x d \mu
= 0$ and $\| Tx \| < \varepsilon$. In particular all compact operators
are narrow. We prove that if $X$ is a Lorentz function space $L_{w,p}$
on [0,1] with $p>2$, then there exists a constant $k_X>1$ so that for
every narrow projection $P$ on $L_{w,p}$ $\| Id - P \| \geq k_X. $ This
generalizes earlier results on $L_p$ and partially answers a question
of E. M. Semenov. Moreover we prove that every rearrangement-invariant
function space $X$ with an absolutely continuous norm contains a
complemented subspace isomorphic to $X$ which is the range of a narrow
projection and a non-narrow projection, which gives a negative answer
to a question of A.Plichko and M.Popov.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B20,46E30,46C15
Remarks: 24 pages
The source file(s), popov1.tex: 63618 bytes, is(are) stored in gzipped
form as 0110168.gz with size 20kb. The corresponding postcript file has
gzipped size 94kb.
Submitted from: randrib at muohio.edu
The paper may be downloaded from the archive by web browser from URL
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From alspach Thu Oct 18 11:37:56 2001
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Thu, 18 Oct 2001 11:37:56 -0500
Date: Thu, 18 Oct 2001 11:37:56 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200110181637.f9IGbuj14205 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Beata Randrianantoanina
Status: R
This is an announcement for the paper "Norm one projections in Banach
spaces" by Beata Randrianantoanina.
Abstract: This is the survey of results about norm one projections
and $1$-complemented subspaces in K\"othe function spaces and Banach
sequence spaces. The historical development of the theory is presented
from the 1930's to the newest ideas. Proofs of the main results are
outlined. Open problems are also discussed. Every effort has been made
to include as complete a bibliography as possible.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B,46E
Citation: Taiwanese J. Math. 5 (2001), pp. 35-95
Remarks: 54 pages
The source file(s), survey4.tex: 166036 bytes, is(are) stored in gzipped
form as 0110171.gz with size 49kb. The corresponding postcript file has
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From alspach Mon Oct 22 16:41:20 2001
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Mon, 22 Oct 2001 16:41:20 -0500
Date: Mon, 22 Oct 2001 16:41:20 -0500
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200110222141.f9MLfKl27466 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Beata Randrianantoanina
Status: R
This is an announcement for the paper "A note on Banach--Mazur problem"
by Beata Randrianantoanina.
Abstract: We prove that if $X$ is a real Banach space, with $\dim X\geq
3$, which contains a subspace of codimension 1 which is 1-complemented
in $X$ and whose group of isometries is almost transitive then $X$ is
isometric to a Hilbert space. This partially answers the Banach-Mazur
rotation problem and generalizes some recent related results.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46C15,46B04,46B20
Remarks: 8 pages, 2 figures but one of the figures doesn't run well in
TeX so it is not included here. The ps file of this paper which includes
all figures is available at http://www.users.muohio.edu/randrib/bm3.ps. to
appear in Glasgow J. Math. (2002)
The source file(s), bmarxiv.tex: 24248 bytes, is(are) stored in gzipped
form as 0110202.gz with size 9kb. The corresponding postcript file has
gzipped size 45kb.
Submitted from: randrib at muohio.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0110202
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From alspach at ms417l.math.okstate.edu Mon Oct 22 16:42:56 2001
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Reply-to: j_diestel at hotmail.com
To: banach at mail.math.okstate.edu
Subject: The Lindenstrauss Festival at Kent State
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Date: Mon, 22 Oct 2001 16:45:10 -0500
From: Dale Alspach <alspach at math.okstate.edu>
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In conjunction with Kent State University's awarding Professor Joram
Lindenstrauss an honorary degree on December 15, there will be a small
conference in honor of Joram.
A program is emerging and as of this moment, our plenary speakers will
include Tadek FIGIEL, Per ENFLO, William JOHNSON, Alexander PELCZYNSKI,
and Haskell ROSENTHAL. More speakers will be announced as invitations are
accepted.
There will be limited time for contributed talks. If you are interested
in presenting some of your recent work then contact Joe Diestel
(j_diestel at hotmail.com); also if you're interested in attending the
conference the same point of contact will do.
Joe Diestel
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Reply-To: Ernst Emil <EMIL.ERNST at VMESA12.u-3mrs.fr>
Subject: Question about Fenchel conjugates
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Date: Wed, 24 Oct 2001 11:30:25 -0500
From: Dale Alspach <alspach at math.okstate.edu>
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I would like to ask you about a (probably classical) problem: When the
domain of the Fenchel conjugate of a convex l.s.c.i. proper function
defined on a Banach space has a non-void interior? Are there necessary
and sufficient conditions for this (maybe in a reflexiv space)?
Thank you,
Emil Ernst,
Laboratoire de Modelisation en Mecanique et Thermodinamique,
Universite Aix-Marseille III, France
From alspach at x8b4e7384.dhcp.okstate.edu Mon Oct 29 08:09:06 2001
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To: banach at mail.math.okstate.edu
Reply-to: pwojt at mimuw.edu.pl
Subject: Revival of the book series Monografoe Matematyczne
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Date: Mon, 29 Oct 2001 07:56:43 -0600
From: Dale Alspach <alspach at math.okstate.edu>
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Institut of Mathematics of the Polish Academy of Sciences in cooperation
with Birkhauser Verlag plan to revive the book series Monografoe
Matematyczne. This series started in 1932 with the publication of
Banach's
monograph, and continued with such books as Saks "Theorie d'integrale"
Zygmund "Trigonometric Series" -first edition, Borsuk "Theory of
Retracts"
or Bessaga and Pelczynski "Selected topics in infinite dimensional
topology". For various reasons it stopped publishing in 1986.
The New Series of Monografie Matematyczne intends to keep the good
tradition and publish high quality research monographs in all
areas of mathematics.
The new Editorial Board has been appointed and consists of
Jean Bourgain (IAS, Princeton, USA); bourgain at math.ias.edu
Tadeusz Iwaniec (Syracuse University, USA); tiwaniec at mailbox.syr.edu
Tom Korner (Cambridge University, UK); twk at dpmms.cam.ac.uk
Krystyna Kuperberg(Auburn University, USA); kuperkm at auburn.edu
Tomasz Luczak(Poznan University, Poland) ;tomasz at math.uam.edu.pl
Ludomir Newelski (Wroclaw University Poland) ; newelski at math.uni.wroc.pl
Gilles Pisier(Univ. Paris 6 and Texas A&M University) ;
gip at ccr.jussieu.fr
Piotr Pragacz(Inst. of Math. Polish Academy of Sciences)
;pragacz at impan.gov.pl
Grzegorz Swiatek (Pennsylvania State University, USA) ;
swiatek at math.psu.edu
Przemyslaw Wojtaszczyk (managing editor) (Warsaw University, Poland) ;
wojtaszczyk at mimuw.edu.pl
Jerzy Zabczyk (Inst. of Math. Polish Academy of Sciences) ;
zabczyk at impan.gov.pl
Interested prospective authors should contact the Editor most close to
the
subject of proposed book or the managing editor.
P.Wojtaszczyk
Instytut Matematyki Stosowanej i Mechaniki
Uniwersytet Warszawski
02-097 Warszawa
ul. Banacha 2
Poland
fax (48)-(22)-5544300
ph (48)-(22)-5544429
From alspach Wed Oct 31 09:20:56 2001
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Wed, 31 Oct 2001 09:20:55 -0600
Date: Wed, 31 Oct 2001 09:20:55 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200110311520.f9VFKt321927 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Vladimir Pestov
Status: R
This is an announcement for the paper "mm-spaces and group actions"
by Vladimir Pestov.
Abstract: These are introductory notes on some aspects of concentration of
measure in the presence of an acting group and its links to Ramsey theory.
Archive classification: Functional Analysis
Mathematics Subject Classification: 22F05; 37B05; 60B05; 05D10
Remarks: 27 pages, 4 figures, TeX with l'Enseign. Math. macros
The source file(s), borel-ens.tex: 59332 bytes, ensmath.tex: 31965
bytes, figure1.eps: 17558 bytes, figure2.eps: 8583 bytes, figure3.eps:
14568 bytes, figure4.eps: 6683 bytes, macutil.tex: 10454 bytes, is(are)
stored in gzipped form as 0110287.tar.gz with size 42kb. The corresponding
postcript file has gzipped size 89kb.
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/0110287
or
http://arXiv.org/abs/math.FA/0110287
or by email in unzipped form by transmitting an empty message with
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uget 0110287
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From alspach at x8b4e7384.dhcp.okstate.edu Thu Nov 1 08:26:52 2001
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Subject: The latest on the Lindenstrauss Festival
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Date: Thu, 01 Nov 2001 08:25:55 -0600
From: Dale Alspach <alspach at x8b4e7384.dhcp.okstate.edu>
Our plenary speakers now include Per ENFLO, Tadek FIGIEL, Bill JOHNSON,
Nigel KALTON, Alex KOLDOBSKY, Olek PELCZYNSKI and Haskell ROSENTHAL
Again the meeting will run from December 12 thru December 14. The
award
will be made at Commencement (which starts at 2:30 PM on December 15).
For information regarding housing and possible (albeit small) financial
assistance and letters of 'invitation to participate', contact Joe
Diestel
via e-mail(j_diestel at hotmail.com) or phone 330-672-9087. Be
forewarned,
Diestel is NOT technologically apt; rather he is utterly inept and so
has no
answering machine for his phone; if you ring and do not get an answer,
try
again later. PLEASE.
Joe Diestel
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Date: Tue, 6 Nov 2001 10:18:30 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200111061618.fA6GIU204394 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Marcel de Jeu
Status: R
This is an announcement for the paper "Subspaces with equal closure"
by Marcel de Jeu.
Abstract: We take a radically new and unifying approach towards polynomial
and trigonometric approximation in an arbitrary number of variables. The
point of view yields a very general and powerful tool that anyone can
easily apply. We show that in considerable generality a module, which is
generated over the polynomials or trigonometric functions by some set,
necessarily has the same closure as the module which is generated by this
same set, but now over the compactly supported smooth functions. The
particular properties of the ambient space or generating set are to a
large degree irrelevant. This translation allows us, by what is now
essentially a straightforward check of a few properties, to replace
many classical results by much more general and stronger statements of
a hitherto unknown type. The method can be formulated for Lie groups and
this interpretation shows that many classical approximation theorems are
"actually" theorems on the unitary dual of n-dimensional real space.
Polynomials then correspond to the universal enveloping algebra. We use
quasi-analytic classes in several variables and identify a well known
family of one dimensional weights. As a side result we obtain a new
integral criterion for multidimensional measures to be determinate.
Archive classification: Classical Analysis; Functional Analysis
Mathematics Subject Classification: Primary 41A63 and 41-01; Secondary
41A10, 42A10, 44A60, 46F05,
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.CA/0111015
or
http://arXiv.org/abs/math.CA/0111015
or by email in unzipped form by transmitting an empty message with
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to: math at arXiv.org.
From alspach Wed Nov 21 08:49:22 2001
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Wed, 21 Nov 2001 08:49:22 -0600
Date: Wed, 21 Nov 2001 08:49:22 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200111211449.fALEnMc31005 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Loukas Grafakos and Terence Tao
Status: R
This is an announcement for the paper "Multilinear interpolation between
adjoint operators" by Loukas Grafakos and Terence Tao.
Abstract: Multilinear interpolation is a powerful tool used in obtaining
strong type boundedness for a variety of operators assuming only a finite
set of restricted weak-type estimates. A typical situation occurs when
one knows that a multilinear operator satisfies a weak $L^q$ estimate
for a single index $q$ (which may be less than one) and that all the
adjoints of the multilinear operator are of similar nature, and thus
they also satisfy the same weak $L^q$ estimate. Under this assumption,
in this expository note we give a general multilinear interpolation
theorem which allows one to obtain strong type boundedness for the
operator (and all of its adjoints) for a large set of exponents. The key
point in the applications we discuss is that the interpolation theorem
can handle the case $q \leq 1$. When $q > 1$, weak $L^q$ has a predual,
and such strong type boundedness can be easily obtained by duality and
multilinear interpolation.
Archive classification: Functional Analysis; Classical Analysis
Mathematics Subject Classification: Primary 46B70. Secondary 46E30, 42B99
Remarks: 6 pages, no figures, submitted, J. Funct. Anal
The source file(s), adjoint.tex: 24421 bytes, is(are) stored in gzipped
form as 0111141.gz with size 8kb. The corresponding postcript file has
gzipped size 47kb.
Submitted from: tao at math.ucla.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0111141
or
http://arXiv.org/abs/math.FA/0111141
or by email in unzipped form by transmitting an empty message with
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From alspach Tue Dec 4 08:27:47 2001
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Tue, 4 Dec 2001 08:27:46 -0600
Date: Tue, 4 Dec 2001 08:27:46 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
Message-Id: <200112041427.fB4ERkh13477 at www.math.okstate.edu>
To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Thomas Schlumprecht and Vladimir G. Troitsky
Status: R
This is an announcement for the paper "On quasi-affine transforms of
Read's operator" by Thomas Schlumprecht and Vladimir G. Troitsky.
Abstract: We show that C.J.Read's example of an operator T on l_1 which
does not have any non-trivial invariant subspaces is not the adjoint
of an operator on a predual of l_1. Furthermore, we present a bounded
diagonal operator D such that even though its inverse is unbounded,
but D^{-1}TD is a bounded operator with invariant subspaces, and is
adjoint to an operator on c_0.
Archive classification: Functional Analysis
Mathematics Subject Classification: 47A15;47A16
Remarks: 9 pages, submitted
The source file(s), read-adjoint.tex: 29521 bytes, is(are) stored in
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file has gzipped size 57kb.
Submitted from: vladimir at mail.ma.utexas.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0112010
or
http://arXiv.org/abs/math.FA/0112010
or by email in unzipped form by transmitting an empty message with
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From alspach at math.okstate.edu Thu Dec 6 08:14:00 2001
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Date: Thu, 06 Dec 2001 08:07:45 -0600
From: Dale Alspach <alspach at math.okstate.edu>
Status: R
To: banach at mail.math.okstate.edu
Reply-to: "joe diestel" <j_diestel at hotmail.com>
Subject: The schedule of talks for the LINDENSTRAUSS FESTIVAL
Date: Wed, 05 Dec 2001 14:11:03 -0600
From: Dale Alspach <alspach at math.okstate.edu>
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All lectures are expected to be given in room 228 of the Math Sciences
Building; refreshments will be available in the same building on the
3rd
floor.
Here is the present schedule of 50-minute talks:
WEDNESDAY 12/12/01 afternoon
3:15 Bill Johnson (Texas A&M)
"Nonlinear quotient maps"
4:45 Alex Koldobsky (Missouri at Columbia)
"Average volume of sections of star bodies"
THURSDAY 12/13/01 morning
10:15 Tadek Figiel (Polish Academy of Sciences, Gdansk)
"A stability result related to Gowers' dichotomy theorem"
11:45 Haskell P. Rosenthal (Texas)
"The Banach subspace structure of non-commutative el-p-spaces"
THURSDAY 12/13/01 afternoon
3:15 Per Enflo (Kent State)
"Joram and me"
4:45 Nigel Kalton
"Nonlinear maps between Banach spaces"
FRIDAY 12/14/01 morning
10:15 Michael Larsen (Indiana, Bloomington)
"Density of Jones representations"
11:45
FRIDAY 12/14/01 afternoon
3:15 Olek Pelczynski (Polish Academy of Sciences, Warsaw)
"Spaces of functions of bounded variation and their relatives"
4:45 Joram Lindenstrauss (The Hebrew University of Jerusalem)
"Frechet differentiabiliy of Lipschitz functions"
There will be several social functions (INCLUDING a piano performance
by Per on Saturday evening); the precise character of such will emerge
as
the time of the Festival nears.
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Reply-to: "Krzysztof Jarosz" <kjarosz at siue.edu>
To: banach at math.okstate.edu
Subject: conference announcement
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Date: Fri, 14 Dec 2001 09:33:56 -0600
From: Dale Alspach <alspach at math.okstate.edu>
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CONFERENCE ANNOUNCEMENT
4th CONFERENCE ON FUNCTION SPACES
at Southern Illinois University at Edwardsville
TIME: May 14-19, 2002
TOPICS: Function algebras, Banach algebras, spaces and algebras of
analytic
functions, Lp spaces, geometry of Banach spaces, isometries of function
spaces, and related problems.
SUPPORT: The NSF grant provides limited funds to assists the
participants
with the local expenses, it is intended primarily for junior
mathematicians
without other travel funds.
For more information visit the Conference WEB page at:
http://www.siue.edu/MATH/conference/
or contact the organizer.
Krzysztof Jarosz
kjarosz at siue.edu
tel.: (618) 650-2354
fax: (618) 692-0095
Department of Mathematics & Statatistics
Southern Illinois University
Edwardsville, IL 62026-1653, USA
From alspach at math.okstate.edu Fri Dec 21 14:25:35 2001
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Subject: Workshop at A&M: 2002 (fwd)
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Date: Fri, 21 Dec 2001 14:18:36 -0600
From: Dale Alspach <alspach at math.okstate.edu>
Status: R
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Reply-to: Bill Johnson <johnson at math.tamu.edu>
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Subject: Workshop at A&M: 2002
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Date: Fri, 21 Dec 2001 12:35:57 -0600
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 2002
The Summer 2002 session of the Workshop in Linear Analysis and
Probability at Texas A&M University will be in session from June 24
until July 19. SUMIRFAS will be held July 12-14. David Larson will
run a
Concentration Week on "Frames, wavelets and operator theory" July
15-19. NOTE THE CHANGE FROM THE USUAL DATES. For information 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 Williams (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). Please contact David Larson for information
about
the Concentration Week.
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Fri, 21 Dec 2001 14:28:41 -0600
Date: Fri, 21 Dec 2001 14:28:41 -0600
From: Dale Alspach <alspach at www.math.okstate.edu>
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To: alspach at www.math.okstate.edu, banach at mail.math.okstate.edu
Subject: Abstract of a paper by Beata Randrianantoanina
Status: R
This is an announcement for the paper "A disjointness type property of
conditional expectation operators" by Beata Randrianantoanina.
Abstract: We give a characterization of conditional expectation
operators through a disjointness type property similar to band preserving
operators. We say that the operator $T:X\to X$ on a Banach lattice $X$
is semi band preserving if and only if for all $f, g \in X$, $f \perp Tg$
implies that $Tf \perp Tg$. We prove that when
$X$ is a purely atomic Banach lattice, then an operator $T$ on $X$ is a
weighted conditional expectation operator if and only if $T$ is semi
band preserving.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B42,46B45
Remarks: 11 pages
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Submitted from: randrib at muohio.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/math.FA/0112181
or
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