Messages from 1995
From banach-request at math.okstate.edu Wed Jan 4 09:45:58 1995
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by J.Bastero, J.Bernues, and A.Pena
Reply-To: banach-files at math.okstate.edu
Date: Wed, 4 Jan 95 9:34:05 CST
From: alspach at math.okstate.edu
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<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "An extension of Milman's
reverse Brunn-Minkowski inequality" by J. Bastero, J. Bernues, and A.
Pena.
The paper is typed in TeX. The paper may be downloaded
from the bulletin board by ftp to ftp.math.okstate.edu
or transmitting the commands
begin
send basterobernuespena.tex
end
to: banach-files at math.okstate.edu.
Abstract:The classical Brunn-Minkowski inequality
states that for $A_1,A_2\subset\R^n$ compact,
$$ |A_1+A_2|^{1/n}\ge
|A_1|^{1/n}+|A_2|^{1/n}\eqno(1) $$ where
$|\cdot|$ denotes the Lebesgue measure on
$\R^n$.
In 1986 V. Milman {\bf [Mil 1]} discovered
that if $B_1$ and $B_2$ are
balls there is always a relative position of
$B_1$ and $B_2$ for which a perturbed inverse
of $(1)$ holds. More precisely:\lq\lq{\sl
There exists a constant $C>0$
such that for all $n\in\N$ and any balls
$B_1,B_2\subset\R^n$ we can find a linear
transformation $u\colon\R^n\to\R^n$ with
$|{\rm det}(u)|=1$ and
$$|u(B_1)+B_2|^{1/n}\le
C(|B_1|^{1/n}+|B_2|^{1/n})"$$}
The aim of this paper is to extend this
Milman's result to a larger class of sets.
File length:27K
From banach-request at math.okstate.edu Tue Jan 10 15:05:39 1995
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by N. Asmar and S. Montgomery-Smith
Reply-To: banach-files at math.okstate.edu
Date: Tue, 10 Jan 95 14:55:36 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
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<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "Analytic measures and Bochner
measurability" by N. Asmar and S. Montgomery-Smith. The paper is typed
in LATeX. The paper may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the commands
begin
send asmarmontsmithanal.ltx
end
to: banach-files at math.okstate.edu.
Abstract:Let $\Sigma$\ be a $\sigma$-algebra over $\Omega$, and let
$M(\Sigma)$\
denote the Banach space of complex measures. Consider a representation
$T_t$\ for $t\in\Bbb R$\ acting on $M(\Sigma)$. We show that under
certain,
very weak hypotheses, that if for a given
$\mu \in M(\Sigma)$\ and all $A \in \Sigma$\
the map $t \mapsto T_t \mu(A)$\ is in $H^\infty(\Bbb R)$, then it
follows
that the map $t \mapsto T_t \mu$\ is Bochner measurable. The proof is
based
upon the idea of the Analytic Radon Nikod\'ym Property.
Straightforward applications yield a new and simpler proof
of Forelli's main result concerning analytic measures ({\it Analytic
and
quasi-invariant measures},
Acta Math., {\bf 118} (1967), 33--59).
File length:79K
From banach-request at math.okstate.edu Tue Jan 10 16:12:05 1995
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by P.K. Lin
Reply-To: banach-files at math.okstate.edu
Date: Tue, 10 Jan 95 15:03:33 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
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<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "`On the extension of 2-
polynomials" by P.K. Lin. The paper is typed in LATeX. The paper may
be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or
transmitting the commands
begin
send pklin2poly.ltx
end
to: banach-files at math.okstate.edu.
Abstract:Let $X$ be a three dimensional real Banach space.
Ben\'itez and Otero \cite {BeO} showed that
if the unit ball of $X$ is
is an intersection of two ellipsoids, then
every 2-polynomial defined in a linear subspace of $X$ can
be extended to $X$ preserving the norm. In this article,
we extend this result to any finite dimensional Banach space.
File length:11K
From banach-request at math.okstate.edu Wed Jan 11 09:33:13 1995
To: banach-dist at math.okstate.edu
Subject: New email address for Yoav Benyamini
Date: Wed, 11 Jan 95 9:20:36 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
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The new email address for Yoav Benyamini is
yoavb at techunix.technion.ac.il
The old address will still be operative for some time.
From banach-request at math.okstate.edu Mon Jan 16 09:02:51 1995
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by P. Mankiewicz and N. Tomczak-Jaegermann
Reply-To: banach-files at math.okstate.edu
Date: Mon, 16 Jan 95 8:56:12 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
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<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "Structural properties of weak
cotype 2 spaces" by P. Mankiewicz and N. Tomczak-Jaegermann. The paper
is typed in LATeX. The paper may be downloaded from the bulletin board
by ftp to ftp.math.okstate.edu or transmitting the commands
begin
send mankiewicztomczakwkcotype.ltx
end
to: banach-files at math.okstate.edu.
Abstract:Several characterizations of weak cotype 2 and weak Hilbert
spaces
are given in terms of basis constants and other structural
invariants of Banach spaces. For finite-dimensional spaces,
characterizations depending on subspaces of fixed proportional
dimension are proved.
File length:63K
From banach-request at math.okstate.edu Tue Jan 24 13:59:45 1995
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by N. Randrianantoanina
Date: Tue, 24 Jan 95 13:49:17 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
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Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "Some remarks on the Dunford-Pettis
property" by N. Randrianantoanina. The paper is typed in AMSLATeX. The
paper may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the commands
begin
send nrandriDP.ltx
end
to: banach-files at math.okstate.edu.
Abstract:Let $A$ be the disk algebra, $\Omega$ be a compact
Hausdorff space and $\mu$ be a finite Borel measure in $\Omega$.
It is shown that the dual of $C(\Omega,A)$ has the Dunford-Pettis
Property. This proved in particular that the spaces
$C(\Omega,A)$ and $L^1(\mu,A*)$ have the Dunford-Pettis property.
File length:31K
Date: Fri, 27 Jan 95 11:25:16 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
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Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "A uniformly convex
hereditarily
indecomposable Banach space" by V. Ferenczi. The paper is
typed in
LATeX. The paper may be downloaded from the bulletin board by
ftp to
ftp.math.okstate.edu or transmitting the commands
begin
send ferencziucindecomp.ltx
end
to: banach-files at math.okstate.edu.
Abstract:A {\em hereditarily indecomposable (or H.I.)} Banach
space is
an infinite dimensional Banach space such that no
subspace can be written as the topological sum of two
infinite
dimensional subspaces. As an easy consequence,
no such space can contain an unconditional basic sequence.
This notion
was first introduced in 1993 by T.Gowers and B.Maurey, who
constructed
the first known example of a hereditarily indecomposable
space.
Gowers-Maurey space is reflexive, however it is not uniformly
convex.
In this article, we provide an example of a uniformly convex
hereditarily indecomposable space, using similar methods as
Gowers and
Maurey, and using the theory
of complex interpolation for a family of Banach spaces of
Coifman,
Cwikel,
Rochberg, Sagher and Weiss.
File length:58K
From alspach at math.okstate.edu Sun Feb 5 19:51:21 1995
Date: Sun, 5 Feb 1995 19:47:23 -0600 (CST)
From: Dale Alspach <alspach at math.okstate.edu>
Subject: Position at U. of Missouri
To: banach-dist at math.okstate.edu
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Sender: alspach at math.okstate.edu
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=================================================================
INSTITUTION: University of Missouri-Columbia, Columbia, MO
DEPARTMENT: Mathematics
CONTACT PERSON: Elias Saab
E-MAIL ADDRESS: mathumc at mizzou1.missouri.edu
DESCRIPTION:
Applications are invited for a Technology Aided Instruction Coordinator
beginning in August of 1995. The position requires a Ph.D.
in Mathematics, quality teaching in a technology aided environment.
Knowledge of Unix, NeXTStep and Mathematica are required. Familiarity
with the Silicon Graphics and NeXT workstations, IBM PCs and Macintoshes
is preferred.
The person will be responsible for coordinating the integration of the
use of the new technology in the Calculus sequence and other courses.
The successful candidate will teach 6 hours each regular semester and
3 hours during the summer session.
Send a curriculum vitae along with a letter of
application (include e-mail address) and arrange for three letters of
recommendation to be sent to: Elias Saab (Attn:Technology Coordiantor
position)at the address above(zip 65211).
The application deadline is March 10, 1995, or until
the position is filled thereafter. Applications received after March
31, 1995 cannot be guaranteed consideration. AA/EEO.
From banach-request at math.okstate.edu Thu Feb 23 08:23:45 1995
To: banach-dist at math.okstate.edu
Subject: Workshop in Murcia
Reply-To: banach-files at math.okstate.edu
Date: Thu, 23 Feb 95 8:13:22 CST
From: alspach at math.okstate.edu
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Status: RO
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
**Speakers & Participants as 15 Febr. 1995 **
**Hotel request form included**
WORKSHOP IN THE GEOMETRY OF BANACH SPACES
27,28,29 April 1995
(Thursday, Friday, Saturday)
at
Departamento de Matematicas
Facultad de Matematicas
Universidad de Murcia
30.100 Espinardo
Murcia, Spain
Note: If you use Netscape or Mosaic you will find regularly updated
information about the Workshop at URL
http://155.54.8.101/mat/ or http://matpc1.fcu.um.es/mat/
This workshop is part of the "Banach space network"
supported by a grant from the European Economic Community
programme of Human Capital and Mobility. In addition to the
University of Murcia the network includes the Universities
of Paris VI and VII, University College London, the University
of Lancaster, the University of Mons, and the University of
Marne-La-Vallee. Mathematicians from outside of the network
are welcome to participate.
We plan to have four talks of 40 minutes each on
each of the three mornings. The afternoons on Thursday
and Friday will be devoted to various topic sessions, that
will be organised by the participants. Suggestions for topics
that you would like to see included and/or to which you
would like to contribute are welcome at this time.
On Saturday afternoon we will have an excursion to
the sea side for lunch.
PROBABLE MORNING SPEAKERS:
P. Casazza (University of Missouri) Complemented unconditional basic
sequences in Banach lattices
G. Debs (Universite de Paris VI) Descriptive complexity of the set of
norm-attaining linear functionals
R. Deville (Universite de Bordeaux) Analytic approximation in Banach
spaces
G. Godefroy (Universite de Paris VI) Smoothness and descriptive set
theory
T. Gowers (University College London) Ramsey theory and Banach spaces
R. Haydon (Oxford University) Trees in renorming theory: the last
chapter
B. Maurey (Universite de Paris VII) The problem of distortion
R. Paya (Universidad de Granada) To be announced
G. Pisier (Universite de Paris VI) Recent results on operator spaces
D. Preiss (University College London) Some conjectures on the
differentiability of Lipschitz mappings
S. Troyanski (Universidad de Valencia) To be announced
M. Valdivia (Universidad de Valencia) Interpolation property and
complemented subspaces in spaces of polynomials
THOSE WHO HAVE TO DATE INDICATED THAT THEY WILL PROBABLY PARTICIPATE:
F. Balibrea (Universidad de Murcia)
M. Besbes (Universite de Paris VI)
O. Blasco (Universidad de Valencia)
B. Cascales (Universidad de Murcia)
P. Casazza (University of Missouri)
Cassier (Universite de Lyon I)
F.Cobos (Universidad Complutense de Madrid)
J.M.F. Castillo (Universidad de Extremadura)
J. Cerda (Universidad de Barcelona)
G. Debs (Universite de Paris VI)
R. Deville (Universite de Bordeaux)
P. Fernandez (Universidad de Castilla-La-Mancha)
C. Finet (Universite de Mons)
V. Fonf (Ben-Gurion University of the Negev)
G. Godefroy (Universite de Paris VI)
M. Gonzalez (Universidad de Santander)
T. Gowers (University College London)
S. Guerre-Delabriere (Universite de Paris VI)
R. Haydon (Oxford University)
F. Hernandez (Universidad Complutense de Madrid)
E. Indurain (Universidad de Navarra)
J.E. Jayne (University College London and Universidad de Murcia)
A. Leiderman (Ben-Gurion University of the Negev)
J.L. Llavona (Universidad Complutense de Madrid)
G. Manjabacas (Universidad de Castilla-La-Mancha)
B. Maurey (Universite de Paris VII)
J.M. Mira (Universidad de Murcia)
A. Molto (Universidad de Valencia)
V. Montesinos (Universidad Politecnica de Valencia)
L. Oncina (Universidad de Murcia)
J. Orihuela (Universidad de Murcia)
A. Pallares (Universidad de Murcia)
R. Paya (Universidad de Granada)
G. Pisier (Universite de Paris VI)
D. Preiss (University College London)
M. Raja (Universidad de Murcia)
N. Ribarska (University of Sophia)
B. Rodriguez-Salinas (Universidad Complutense de Madrid)
C.A. Rogers (University College London)
S. Sanchez-Pedren~o (Universidad de Murcia)
J. Schmets (Universite de Liege)
S. Troyanski (University of Sofia and Universidad de Valencia)
M. Valdivia (Universidad de Valencia)
G. Vera (Universidad de Murcia)
Q. Xu (Universite de Paris VI)
There will be no conference fee.
There will be support for some research students,
which will probably cover hotel accommodation and the
mid day meal at the University on Thursday and Friday.
Those interested in participating and those wishing
to have their accommodation arranged for them are asked
to return the form below, preferably by e-mail to
<banach at fcu.um.es>; or to the postal address given
above.
The airport that serves Murcia is in Alicante. In order
to organise transport between Murcia and the airport in
Alicante, please send us your flight numbers, arrival and
departure times.
IBERIA (the national airline of Spain) frequently offers
attractive car rental prices with Avis, when booking your
flight.
ORGANIZING COMMITTE
Bernardo Cascales Tel. +34-68-364174
John Jayne +44-71-3807322
Jose Orihuela +34-68-363539
Antonio Pallares (Secretary) +34-68-363559
Gabriel Vera +34-68-363538
+++++++++++++++++++++++++ FORM +++++++++++++++++++++++++++++++
Date ____________
Name _____________________________________________________
Address __________________________________________________
__________________________________________________________
__________________________________________________________
__________________________________________________________
e-mail ___________________________________________________
Accompanying person(s):___________________________________
Type of room desired: Single_____ Double_____ Other_____
Nights required: Wed._____ Thurs._____ Fri._____
Sat._____ Other__________________
Type of Hotel preferred (See hotels listed below):
Very Good___ Extremely Good___
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
Those who prefer to arrange their hotel accommodation
directly may contact the hotel. The priced may be significantly
higher, in this case, than the prices per night that they have
offered us, that are listed below.
HOTELS: TEL. SINGLE DOUBLE
La Huertanica +34-68-217668 5.390 Ptas. 7.530 Ptas.
(Very Good)
(breakfast not included)
Arco San Juan +34-68-210455 7.500 Ptas. 12.200 Ptas.
(Extremely Good)
(taxes included, but breakfast not included)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
From banach-request at math.okstate.edu Tue Feb 21 10:30:19 1995
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by V. Ferenczi
Reply-To: banach-files at math.okstate.edu
Date: Tue, 21 Feb 95 10:19:04 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 806
Status: RO
X-Status:
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<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "Operators on subspaces of
hereditarily indecomposable Banach spaces" by V.Ferenczi. The paper is
typed in LATeX. The paper may be downloaded from the bulletin board by
ftp to ftp.math.okstate.edu or transmitting the commands
begin
send ferencziherindecomp.ltx
end
to: banach-files at math.okstate.edu.
Abstract:A space $X$ is said to be hereditarily indecomposable if no
two (infinite dimensional) subspaces of $X$ are in a direct sum.
In this paper, we show that if $X$ is a complex hereditarily
indecomposable Banach space, then every operator from a
subspace $Y$ of $X$ to $X$ is of the form $\lambda I + S$,
where $I$ is the inclusion map and $S$ is strictly singular.
File length:16K
From banach-request at math.okstate.edu Wed Mar 1 08:38:25 1995
To: banach-dist at math.okstate.edu
Subject: Call for papers
Date: Wed, 1 Mar 95 8:31:23 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1193
X-Lines: 42
Status: RO
///////////////////////////////////////////////////////////////////////////
CALL FOR PAPERS
Dear Colleagues,
as newly appointed member of the editorial board of
ACTA MATHEMATICA UNIVERSITATIS COMENIANAE (published by Comenius
university in Bratislava) I would like to draw your attention to this
mathematical journal. The editors' policy is to strengthen and enlarge
the
amount of publications of first rate research papers in Modern
Functional
Analysis (with emphasis on Banach Space Theory and its interaction with
Probability Harmonic Analysis and Complex Function Theory) .
Due to substantial changes in the production methods
the waiting time for publication is very short (usually less than one
year).
Papers can be sent to the managing editor
J. SIRAN
FACULTY OF MATHEMATICS AND PHYSICS
COMENIUS UNIVERSITY
MLYNSKA DOLINA
SK 842 15 BRATISLAVA
SLOVAKIA
or to any member of the Editorial board.
Sincerely yours
Paul F.X. Muller
///////////////////////////////////////////////////
----------------------------
Paul F. X. Mueller
paul.mueller at jk.uni-linz.ac.at
Institut fuer Mathematik
J.Kepler Universitaet Linz
A-4040 Linz, Austria.
From banach-request at math.okstate.edu Thu Mar 2 14:21:13 1995
To: banach-dist at math.okstate.edu
Subject: Visiting position
Date: Thu, 2 Mar 95 14:10:40 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1460
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Status: RO
------------
VISITING POSITION FOR FALL 1995
The Department of Mathematics and Statistics at Bowling Green State
University has an opening for a Visiting Professor for Fall semester,
1995. The position carries a salary of $20,000 (or thereabouts) and
has _no_ teaching responsibilities, although our visitors are
expected to participate in departmental seminars and colloquia.
The Department would prefer senior candidates (Full Professors or
Associates with several years experience) specializing in an area
compatible with the current research interests of the Department
(Banach spaces, operator theory, function theory, PDE's). This is
an ideal opportunity for someone on sabbatical leave in Fall '95.
Interested parties should contact me _immediately_! We have less
than ten days to make our decision (it's a long story!), so time
is precious. Send vita and 3 letters of reference to our chair:
Prof. John Hayden, Chair
Dept. of Mathematics and Statistics
Bowling Green State University
Bowling Green, OH 43403 USA
and direct questions, comments, and e-mail to me at:
Neal Carothers
carother at math.bgsu.edu (preferred -- if your vita is written
in TeX, please feel free to use e-mail
instead of snail-mail!)
http://www.bgsu.edu/~carother/ (includes both mailto: and mail form)
(419) 372-8317 (office)
(419) 353-0590 (home)
(You can leave a message at either number if I'm not in.)
(419) 372-6092 FAX (if necessary)
-- Neal Carothers
From banach-request at math.okstate.edu Fri Mar 3 09:27:43 1995
To: banach-dist at math.okstate.edu
Subject: Visiting position at BGSU correction
Reply-To: banach-files at math.okstate.edu
Date: Fri, 3 Mar 95 9:19:44 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 2011
Status: RO
X-Lines: 60
I made a mistake in yesterday's announcement: The visiting position
at BGSU is for ONE SEMESTER ONLY -- it is currently setup for Fall,
but could be moved to Spring. Sorry for the confusion!
-- Neal Carothers
carother at math.bgsu.edu
----- Begin Included Message -----
>From banach-request at math.okstate.edu Thu Mar 2 14:21:13 1995
To: banach-dist at math.okstate.edu
Subject: Visiting position
Date: Thu, 2 Mar 95 14:10:40 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1460
------------
VISITING POSITION FOR FALL 1995
The Department of Mathematics and Statistics at Bowling Green State
University has an opening for a Visiting Professor for Fall semester,
1995. The position carries a salary of $20,000 (or thereabouts) and
has _no_ teaching responsibilities, although our visitors are
expected to participate in departmental seminars and colloquia.
The Department would prefer senior candidates (Full Professors or
Associates with several years experience) specializing in an area
compatible with the current research interests of the Department
(Banach spaces, operator theory, function theory, PDE's). This is
an ideal opportunity for someone on sabbatical leave in Fall '95.
Interested parties should contact me _immediately_! We have less
than ten days to make our decision (it's a long story!), so time
is precious. Send vita and 3 letters of reference to our chair:
Prof. John Hayden, Chair
Dept. of Mathematics and Statistics
Bowling Green State University
Bowling Green, OH 43403 USA
and direct questions, comments, and e-mail to me at:
Neal Carothers
carother at math.bgsu.edu (preferred -- if your vita is written
in TeX, please feel free to use e-mail
instead of snail-mail!)
http://www.bgsu.edu/~carother/ (includes both mailto: and mail form)
(419) 372-8317 (office)
(419) 353-0590 (home)
(You can leave a message at either number if I'm not in.)
(419) 372-6092 FAX (if necessary)
-- Neal Carothers
----- End Included Message -----
From banach-request at math.okstate.edu Mon Mar 13 09:20:54 1995
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by F. Hernandez and N. Kalton
Reply-To: banach-files at math.okstate.edu
Date: Mon, 13 Mar 95 9:11:49 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1371
Status: RO
X-Lines: 38
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "Subspaces of rearrangement-invariant
spaces" by F. L. Hernandez and N. J. Kalton. The paper is typed in
AMSTeX. The paper may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the commands
begin
send hernandezkaltonsbspri.atx
end
to: banach-files at math.okstate.edu.
Abstract:We prove
a number of results concerning the embedding of a Banach
lattice $X$ into an r.i. space $Y$. For example we show
that if $Y$ is an r.i. space on $[0,\infty)$ which is
$p$-convex for some $p>2$ and has nontrivial concavity then
any Banach lattice $X$ which is $r$-convex for some $r>2$
and embeds into $Y$ must embed as a sublattice. Similar
conclusions can be drawn under a variety of hypotheses on
$Y$; if $X$ is an r.i. space on $[0,1]$ one can replace the
hypotheses of $r$-convexity for some $r>2$ by $X\neq L_2.$
We also show that if $Y$ is an order-continuous Banach
lattice which contains no complemented sublattice
lattice-isomorphic to $\ell_2,$ $X$ is an order-continuous
Banach lattice so that $\ell_2$ is not complementably
lattice finitely representable in $X$ and $X$ is isomorphic
to a complemented subpace of $Y$ then $X$ is isomorphic to a
complemented sublattice of $Y^N$ for some integer $N.$
File length:111K
From banach-request at math.okstate.edu Mon Mar 13 11:19:24 1995
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by A. L. Koldobsky and S. J. Montgomery-Smith
Reply-To: banach-files at math.okstate.edu
Date: Mon, 13 Mar 95 9:19:07 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1241
Status: RO
X-Lines: 39
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "Inequalities of correlation type for
symmetric stable random vectors" by A. L. Koldobsky and S. J.
Montgomery-Smith. The paper is typed in AMSTeX. The paper may be
downloaded from the bulletin board by ftp to ftp.math.okstate.edu or
transmitting the commands
begin
send koldobskymontsmithcorstblrv.atx
end
to: banach-files at math.okstate.edu.
Abstract:We prove that, for any jointly stable random variables
$X_1, \dots, X_k$ with zero mean,
any $m<k,$ and any even continuous positive definite
functions $f$ and $g$ on $\Bbb R^m$ and $\Bbb R^{k-m},$
the random variables $f(X_1,\dots,X_m)$ and $g(X_{m+1},
\dots,X_k)$ are non-negatively correlated.
We also show another result that
is related to an old question of whether
$$P(\max_{1\le i\le k} |X_i|<t) \ge
P(\max_{1\le i\le m} |X_i|<t)
\ P(\max_{m+1\le i\le k} |X_i|<t)$$
where $X_1,\dots,X_k$ are jointly Gaussian
random variables with zero mean, and $m<k.$
We show that the quantity in the left-hand side
has a local minimum at the point where the random
variables $X_i$ and $X_j$ are independent for any
choice of $1\le i\le m$ and $m+1\le j\le k.$
File length:18K
From banach-request at math.okstate.edu Wed Mar 15 14:15:54 1995
To: banach-dist at math.okstate.edu
Subject: Position at University College London
Date: Wed, 15 Mar 95 14:07:58 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 725
X-Lines: 26
Status: RO
LECTURESHIP/READERSHIP
IN
PURE MATHEMATICS
Applications are invited for a Lectureship in Pure Mathematics, tenable
at
UCL after 25 September 1995. The position will be upgraded to a
Readership
if there is a suitably qualified candidate. Applicants should have an
excellent record in research and expect to contribute to graduate
supervision and undergraduate teaching.
Applications, including the names of three referees, should be sent to
Professor David Larman, Head of the Department of Mathematics,
University
College London, Gower Street, London WC1E 6BT, England.
Tel. +44-171-387-7050 ext. 2855
FAX +44-171-383-5519
e-mail: ucahoff at ucl.ac.uk
Closing date for applications is 1st May 1995.
From banach-request at math.okstate.edu Thu Mar 16 10:15:27 1995
To: banach-dist at math.okstate.edu
Subject: Positions at Kent State, Regional Campuses
Date: Thu, 16 Mar 95 10:09:06 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 906
X-Lines: 24
Status: RO
There are several Tenure Track Assistant Professorships
available on some Regional Campuses of the Kent State University
System. To quote from the announcement,
``This is a tenure-track appointment
available Fall 1995 with responsibilities for teaching a wide
range of undergraduate courses from Developmental Math to
Calculus. A strong interest in teaching undergraduates is
essential.... To apply, please send a letter of application,
vita, transcripts, and names and addresses of three references
...to: Dr. Alan C. Coe, Dean for Academic Affairs, Regional
Campuses, Kent State University, P.O. Box 51909,
Kent, OH 44242-0001.''
Additional information may be obtained from Prof. Olaf P.
Stackelberg, Chair, Mathematics (stack at mcs.kent.edu). It must
be emphasized that it is essential that applications are
received extremely soon!
R. M. Aron (aron at mcs.kent.edu)
----- End Included Message -----
From banach-request at math.okstate.edu Thu Mar 16 12:10:21 1995
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by N. Asmar and S. Montgomery-Smith
Date: Thu, 16 Mar 95 11:13:09 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 739
X-Lines: 32
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "Hardy martingales and Jensen's
Inequality" by N. Asmar and S. Montgomery-Smith. The paper is typed in
LATeX. The paper may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the commands
begin
send asmarmontsmithhrdy.ltx
end
to: banach-files at math.okstate.edu.
Abstract:We extend ideas of Garling to consider the so called Hardy
martingales
in a more general setting of H^p theory of compact abelian groups with
ordered dual. As a consequence, we obtain a new proof of a result of
Helson and Lowdenslager which generalizes Jensen's Inequality for H^1
functions.
File length:22K
From banach-request at math.okstate.edu Mon Mar 20 09:38:32 1995
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by W. Banaszczyk and S. Szarek
Date: Mon, 20 Mar 95 9:27:04 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1055
X-Lines: 37
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "Lattice coverings and gaussian
measures of n-dimensional convex bodies" by W. Banaszczyk and S.
Szarek. The paper is typed in LATeX. The paper may be downloaded from
the bulletin board by ftp to ftp.math.okstate.edu or transmitting the
commands
begin
send banaszczykszarek.ltx
end
to: banach-files at math.okstate.edu.
Abstract:Let $\| \cdot \|$ be the euclidean norm on ${\bf R}^n$ and
$\gamma_n$ the
(standard)
Gaussian measure on ${\bf R}^n$ with density $(2 \pi )^{-n/2} e^{- \|
x\|^2
/2}$. Let
$\vartheta$ ($ \simeq 1.3489795$) be defined by $\gamma_1 ([ -
\vartheta
/2, \vartheta /2]) = 1/2$ and let $L$ be a
lattice in ${\bf R}^n$ generated by vectors of norm $\leq \vartheta$.
Then, for any closed
convex set $V$ in ${\bf R}^n$ with $\gamma_n (V) \geq \frac{1}{2}$ and
for any
$a \in {\bf R}^n$, $(a +L) \cap V \neq \phi$. The above statement can
be
viewed as a
``nonsymmetric'' version of Minkowski Theorem.
File length:11K
From banach-request at math.okstate.edu Tue Apr 11 13:31:35 1995
To: banach-dist at math.okstate.edu
Subject: Workshop in the Geometry of Banach Spaces
Date: Tue, 11 Apr 95 13:22:12 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 6280
X-Lines: 195
Status: RO
*Speakers and participants as of 11 April 1995.
WORKSHOP IN THE GEOMETRY OF BANACH SPACES
27,28,29 April 1995
(Thursday, Friday, Saturday)
at
Departamento de Matematicas
Facultad de Matematicas
Universidad de Murcia
30.100 Espinardo
Murcia, Spain
In this message you will find the following information:
1.- Morning speakers
2.- Open seminars
3.- How to get to the "Facultad de Matematicas"
4.- List of participants
5.- List of Hotels
From today forward all new hotel reservations must be made by
participants directly with the hotels. A list is given below.
Fortunately, we have been able to distribute all of the money
available for participants. No additional funds will be available.
****************************************************
1.- MORNING SPEAKERS
P.Casazza (University of Missouri) Complemented unconditional basic
sequences in Banach lattices
G.Debs (Universite de Paris VI) Descriptive complexity of the set of
norm-attaining linear functionals
R.Deville (Universite de Bordeaux) Analytic approximation in Banach
spaces
G.Godefroy (Universite de Paris VI) Smoothness and descriptive set
theory
T.Gowers (University College London) Spaces containing \ell_p
R.Haydon (Oxford University) Trees in renorming theory: The Last
Chapter
B.Maurey (Universite de Paris VII) Some exotic Banach spaces
R.Paya (Universidad de Granada) Some results related to the
Bishop-Phelps
theorem
D.Preiss (University College London) Some conjectures on the
differentiability of Lipschitz mappings
N.Tomczak-Jaegermann (University of Alberta) Bounded distortions and
unconditional basic sequences
S.Troyanski (Universidad de Valencia/University of Sofia) On
sigma-uniformly
rotund Banach spaces
M.Valdivia (Universidad de Valencia) Interpolation property and
complemented subspaces in spaces of polynomials
2.- OPEN SEMINARS
The afternoon seminars will be organized upon arrival
of the
participants. On Wednesday evening and Thursday morning a list of
seminars
will be drawn up and posted, each with the name of a
proposer/coordinator.
Those interested in one or more of these seminars will be invited to
offer
to speak or otherwise participate. Since this is a "Workshop", a
typical
"talk" will consist of a presentation and discussion of open problems
and
possible directions for future development. Formal lectures, such as
given
in the morning, will not be appropriate.
Anyone may propose and/or organize additional seminars
on
any topic what-so-ever. We expect to have a sufficient number of class
rooms.
3.- HOW TO GET TO THE "FACULTAD DE MATEMATICAS"
The Workshop will take place at the "Facultad de
Matematicas" at the new Campus outside the city.
- THE WORKSHOP BUS
This bus will take people from the hotels to the
University (Workshop) in the morning and take them back to the centre
of the city at the end of the day.
MORNING: The workshop bus will leave from "Jardin de
Floridablanca" across the street from Hotel Casa Emilio and very near
to
Hotel Pacoche at 9.20
a.m. and then will pass by "Plaza de Cetina" very near to Hotel Rincon
de
Pepe and Hotel Huertanica.
EVENING: the bus will return to the center of Murcia at the
end of the
day, at a time to be specified.
- PUBLIC BUSES
Bus number 39 goes directly from the city to the
University. It leaves from "Plaza Fuensanta" across the street from
the main entrance to the department store "El Corte Ingles" every 15
minutes between 7.45 a.m. and 10 a.m. and then every 30 minutes. Buses
return at the same intervals with the last bus leaving the Campus at
21.00.
Between 18.30 and 20.30 the intervals are 15 minutes.
- PEOPLE USING THEIR OWN CARS
People who wish to use their own car should take
motorway
A-7 (E-15) in the direction to Alicante and exit at "Universidad". The
Campus is about 5 kilometers from the centre of Murcia.
4.- LIST OF PARTICIPANTS
Acosta Vigil, Maria Dolores; Aguirre Bago, Fco.; Alamino Prats,
Jeronimo;
Azagra, Daniel; Benitez, Julio; Bernues Pardo, Julio; Besbes, Mourad;
Blasco de la Cruz, Oscar; Bombal, Fernando; Cabello Pinar, Juan C.;
Cascales, Bernardo; Casazza, Pete; Cassier, Gilles; Castillo, Jesus
M.F.;
Cerda, Joan; Contreras Marquez, Manuel; Debs, Gabriel; Delabriere,
Sylvie;
Deville, Robert;
Diaz Madrigal, Santiago; Fabian, Marian; Fernandez Carrion, Antonio;
Fernandez, Pedro; Ferrer Llopis, Jesus; Finet, Catherine; Fonf,
Vladimir;
Garcia Castejon, Felicisimo; Garcia Del Amo, Alejandro; Godefroy,
Gilles;
Gonzalez, Manuel;
Gonalez, Raquel; Gowers,Tim; Haydon, Richard; Hensgen, Wolfgang;
Hernandez,
Francisco; Hernando, Beatriz; Indurain Eraso, Esteban; Jaramillo,
Jesus;
Jayne, John; Jimenez Vargas, Antonio ;Jorda, Enrique ;Kutzarova Denka;
Lacien, Gilles; Leiderman, Arkady; Llanova, Jose G.; Manjabacas,
Guillermo;
Martinez, Abejon, Antonio; Maurey, Bernard; Mena Jurado, Juan Fco.;
Molto,
Anibal; Montesinos, Vicente; Moreno, Jose Pedro; Munoz, Gustavo;
Navarro
Pascual, Juan C.; Orihuela, Jose; Pallares, Antonio; Papini, Pier
Luigi;
Paya, Rafael; Plans, Antonio; Preiss, David; Ribarska, Nadya;
Rodriguez,
Baltasar; Rodriguez-Piazza, Luis; Rogers, C.A.; Sanchez Fernandez,
Fernando; Schmets, Jean; Signes, Teresa; Suarez Granero, Antonio;
Tomczak-Jaegermann, Nicole; Troyanski, Stanimir; Valdivia, Manuel;
Vera,
Gabriel; Vidal Vazquez, Ricardo
5.- LIST OF HOTELS
HOTEL TEL. ADDRESS PRICE
La Huertanica +34-68-217668; Infante, 3-5; 5.390 Ptas.
7.530 Ptas.(double)
Casa Emilio +34-68-220631; Alameda Colon, 9; 4.280 Ptas.
6.420 Ptas.(double)
Rincon de Pepe +34-68-212239; Apostoles, 34; 8.025 Ptas.
10.700 Ptas.(double)
Pacoche +34-68-213385; Cartagena, 30; 5.489 Ptas.(double for
individual
use)
7.222 Ptas.(double)
9.951 Ptas.(triple)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
ORGANIZING COMMITTE
Bernardo Cascales Tel. +34-68-364174
John Jayne +34-68-363583
Jose Orihuela +34-68-363539
Antonio Pallares (Secretary) +34-68-363559
Gabriel Vera +34-68-363538
From banach-request at math.okstate.edu Thu Apr 13 10:53:27 1995
To: banach-dist at math.okstate.edu
Subject: Regional meeting of the AMS at Kent State
Date: Thu, 13 Apr 95 10:44:32 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 622
X-Lines: 19
Status: RO
Call for participants
A regional meeting of the AMS will be held at Kent State
University on Friday-Saturday, November 3-4, 1995. Among
the planned special sessions is one on
FUNCTIONAL ANALYSIS AND OPERATOR THEORY.
We are planning on having a necessarily limited number of
half hour talks. Readers of the Banach Space
Bulletin Board are cordially invited to participate
in this special session. For further information,
please contact any of the following as soon as possible,
and in any case by the end of May:
Richard Aron (aron at mcs.kent.edu)
Per Enflo (enflo at mcs.kent.edu)
Andrew Tonge (tonge at mcs.kent.edu)
From banach-request at math.okstate.edu Mon Apr 17 09:39:22 1995
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by R. Faber
Date: Mon, 17 Apr 95 9:33:33 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 899
X-Lines: 31
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "A Lifting Theorem for Locally Convex
Subspaces of Lo" by R. G. Faber. The paper is typed in AMSTeX. The
paper may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the commands
begin
send faberlift.atx
end
to: banach-files at math.okstate.edu.
Abstract:We prove that for every closed locally convex subspace $E$ of
$L_0$ and
for any continuous linear operator $T$ from $L_0$ to $L_0/E$ there is a
continuous linear operator $S$ from
$L_0$ to $L_0$ such that $T = QS$ where $Q$ is the quotient map from
$L_0$ to $L_0/E$.
File length:34K
Note: This paper requires cdlms.tex (also on the Banach BBS) and
Spivak's LAMSTeX fonts to produce one commutative diagram. Without the
fonts
the diagram will be missing a diagonal arrow and some arrow heads.
From banach-request at math.okstate.edu Fri May 5 09:00:26 1995
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by M. Girardi and W. Johnson
Date: Fri, 5 May 95 8:52:40 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1188
Status: RO
X-Status:
X-Lines: 33
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "Universal Non-Completely-Continuous
Operators" by M. Girardi and W.B. Johnson. The paper is typed in
AMSTeX. The paper may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the commands
begin
send girardijohnsonuop.atx
end
to: banach-files at math.okstate.edu.
Abstract:A bounded linear operator between Banach spaces is called
{\it
completely continuous} if it carries weakly convergent sequences into
norm convergent sequences. Isolated is a universal operator for the
class of non-completely-continuous operators from $L_1$ into an
arbitrary Banach space, namely, the operator from $L_1$ into
$\ell_\infty$ defined by
$$ T_0 (f) =\left( \int r_n f \, d\mu \right)_{n\ge 0} \ ,
$$ where $r_n$ is the $n^{\text{th}}$ Rademacher function. It is
also shown that there does not exist a universal operator for the
class of non-completely-continuous operators between two arbitrary
Banach space. The proof uses the factorization theorem for weakly
compact operators and a Tsirelson-like space.
File length:36K
From banach-request at math.okstate.edu Thu Jun 1 09:38:57 1995
To: banach-dist at math.okstate.edu
Subject: Workshop:Function Spaces, Interpolation Spaces....
Date: Thu, 1 Jun 95 9:28:34 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 7449
X-Lines: 237
Status: RO
INTERNATIONAL WORKSHOP ON
FUNCTION SPACES, INTERPOLATION SPACES AND RELATED TOPICS
JUNE 7-13 1995, TECHNION, ISRAEL INSTITUTE OF TECHNOLOGY HAIFA, ISRAEL
PROGRAM
(All lectures will be held in Room 232, Amado building. Please check
the
notice board outside Room 232 each day for possible revisions.)
WEDNESDAY, 7 JUNE
09:00-10:45 Registration
10:45-11:00 Opening remarks
11:00-11:30 Coffee
11:30-12:30 Elias M. Stein (Princeton University, U.S.A.)
Spectral multipliers and multiple-parameter structure on the Heisenberg
group.
14:00-14:30 Oleg REINOV (St. Petersburg University, Russia)
Approximation of operators/On spaces of operators not containing
$\ell^1$
14:30-15:00 Pavel SHVARTSMAN (Technion) The $K$-functional of the pair
$(L_{\infty}, BMO)$ and extensions of $BMO$ functions
15:00-15:30 Mario MILMAN (Florida Atlantic University, U.S.A.)
On the role of cancellation in interpolation theory
15:30-16:30 Guido WEISS (Washington University, St. Louis, U.S.A.)
On several methods for constructing new wavelets
16:30-17:00 Coffee
17:00-18:00 Session in memory of Iosif Shneiberg,
including a lecture on his work.
THURSDAY, 8 JUNE
09:30-10:30 Joram LINDENSTRAUSS (Hebrew University)
The Uniform Structure of Banach Spaces
10:30-11:00 Coffee
11:00-11:30 Vladimir OVCHINNIKOV (Voronezh State University, Russia)
Noncommutative analogs of smooth function spaces and interpolation
11:30-12:00 Natan KRUGLJAK (Yaroslavl State University, Russia)
Rearrangements of maximal functions, real interpolation and
quantitative
covering theorems
12:00-12:30 Alexander BUKHVALOV (St. Petersburg University of Economics
and Finance, Russia)
Interpolation of the spaces of Sobolev Type. Traces Problems and
Implications for the Geometry of Function Spaces
14:00-14:30 Isaac PESENSON (Temple University, Philadelphia, U.S.A.)
A New Wavelet Basis on $R^3$
14:30-15:00 Michael SOLOMYAK (Weizmann Institute, Rehovot)
Interpolation techniques in the investigation of eigenvalue behaviour
for differential operators on $R^d$
15:00-15:30 Elijah LIFLYAND (Bar-Ilan University, Ramat Gan)
A family of function spaces and multipliers
15:30-16:00 Quanhua XU (Universit\'e Paris VI, France)
Fourier multipliers for $L_p(\real ^n)$ via $q$-variation
16:00-16:30 Vladimir GOL'DSHTEIN (Ben Gurion University, Beer Sheva)
On the critical embedding exponent.
16:30-17:00 Coffee
17:00-18:00 DISCUSSION AND PROBLEM SESSION IN INTERPOLATION THEORY
FRIDAY, 9 JUNE
09:30-10:30 Yuri BRUDNYI (Technion)
Local approximation and spaces of functions of several variables
10:30-11:00 Coffee
11:00-11:30 Vladimir PELLER (Kansas State University, Manhattan,
Kansas,
U.S.A.)
The operator of superoptimal approximation by analytic matrix functions
on spaces of smooth functions
11:30-12:00 Evgueni M. SEMENOV (Voronezh State University, Russia)
Some applications of interpolation theory
12:00-12:30 Mark BERKOLAIKO (Voronezh State University, Russia)
Wavelet Bases and Linear Operators on Anisotropic Lizorkin-Triebel
Spaces
12:30-13:00 Victor OLEVSKII (Weizmann Institute of Science, Rehovot)
A connection between Fourier and Schur multipliers
THE AFTERNOON WILL BE FREE
SATURDAY, 10 JUNE
There will be a tour to various sites in northern Israel.
SUNDAY, 11 JUNE
09:30-10:30 Vitali MILMAN (Tel Aviv University)
Positions and Ellipsoids in Convex Geometry
10:30-11:00 Coffee
11:00-11:30 Serguei KISLIAKOV (St. Petersburg branch of Steklov
Institute, Russia)
A sharp correction theorem
11:30-12:30 Lidia VESELOVA (Kazan State Technological University,
Russia)
On the uniqueness of the solution to inverse interpolation problems.
12:00-12:30 Sten KAIJSER (Uppsala University, Sweden)
Interpolation of spaces of analytic functions
14:00-14:30 Yuri LYUBICH (Technion)
The nonsolvability of a homology equation in measurable functions
14:30-15:00 Amos NEVO (University of Chicago, U.S.A. and Technion)
Pointwise Ergodic Theorems For Radial Averages On Simple Lie Groups.
15:00-15:30 Yoram SAGHER (University of Illinois, Chicago, U.S.A.)
On the Kahane-Khinchin Theorem, and series with the Stein Property
15:30-16:30 Charles FEFFERMAN (Princeton University, U.S.A.)
Protons and electrons in magnetic fields
16:30-17:00 Coffee
17:00-17:30 Peter WINGREN (Umea University, Sweden)
Lipschitz and Zygmund spaces on subsets. A comparison with respect to
Baire category.
17:30-18:00 Eugeny I. SMIRNOV (Yaroslavl State Pedagogical University,
Russia)
H - limits of Hausdorff spectra
MONDAY, 12 JUNE
09:30-10:00 Evgeniy PUSTYLNIK (Technion)
Weak-type interpolation in Orlicz spaces
10:00-10:30 Jonathan ARAZY (University of Haifa)
Invariant Besov Spaces on Bounded Symmetric Domains
10:30-11:00 Coffee
11:00-11:30 John McCARTHY (Washington University, St. Louis, U.S.A.)
Boundary values in holomorphic Hilbert spaces
11:30-12:00 Ronald KERMAN (Brock University, St. Catharines, Canada)
Extrapolation from a modular inequality.
12:00-12:30 Jesus BASTERO (University of Zaragoza, Spain)
Calder\'on weights, real interpolation method.
14:00-14:30 Evsey DYN'KIN (Technion)
Cauchy Integral Decomposition for Harmonic Vector Fields
14:30-15:30 Charles FEFFERMAN (Princeton University, U.S.A.)
Bernstein inequalities
(Should any lectures be cancelled, the following two will probably be
moved to other times.)
15:30-16:00 Maria J. CARRO (University of Barcelona, Spain)
Commutators, Interpolation and Vector Valued Function Spaces.
16:00-16:30 Javier SORIA (University of Barcelona, Spain)
Fatou's Theorem on General Approach Regions.
THERE WILL BE A TRIP TO CAESAREA INCLUDING DINNER.
TUESDAY, 13 JUNE
09:30-10:30 Lars-Erik PERSSON (Lulea University, Sweden)
On some new real interpolation methods for families of Banach spaces
10:00-10:30 Ludmila NIKOLOVA (University of Sofia, Bulgaria)
Real interpolation for families of Banach spaces - convexity and
smoothness.
10:30-11:00 Coffee
11:00-11:30 Leonid HANIN (Michigan Technological University, Houghton,
U.S.A.)
Closed ideals in classical algebras of smooth functions
11:30-12:00 Irina ASEKRITOVA (Yaroslavl State University, Russia)
On the equivalence of K- and J-methods for (n+1)-tuples of Banach
spaces
12:00-12:30 Lech MALIGRANDA (Lulea University, Sweden)
Complexification and vector-valued estimates of operators between
$L_p$-spaces
14:00-14:30 Mitchell TAIBLESON (Washington University, St. Louis,
U.S.A.)
A Hardy space and BMO space of functions defined on a tree
14:30-15:00 Oleg TIKHONOV (Kazan State University, Russia)
On the Lozanovskii class of condensing operators
15:00-15:30 Mieczyslaw MASTYLO
(University of Poznan, Poland)
On interpolation spaces containing copies of $c_0$ and
$\ell_{\infty}$.
15:30-16:30 Nigel KALTON (University of Missouri, Columbia, U.S.A.)
Complex interpolation of function spaces
16:30-17:00 Coffee
17:00-17:30 Lubos PICK (Czech Academy of Sciences)
Interpolation of integral operators on the scales of generalized
Lorentz-Zygmund spaces. (We have just learned that we will have to move
this
lecture to an earlier time.)
17:30-18:00 Arcadii M. MINKIN
(Saratov State University, Russia)
The necessity of Muckenhoupt's condition for unconditional basicity of
reproducing kernels
=-=-=-=-=-=-=-
For additional information please contact Sylvia Schur
(04-294278, iasm at techunix.technion.ac.il) or
Michael Cwikel (04-294179, mcwikel at techunix.technion.ac.il )
(A TeX file of abstracts is also available.)
From banach-request at math.okstate.edu Mon Jun 5 10:39:27 1995
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by F. Chaatit
Date: Mon, 5 Jun 95 10:20:03 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 672
X-Lines: 26
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "A Representation of Stable Banach
Spaces" by Fouad Chaatit. The paper is typed in LaTeX. The paper may
be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or
transmitting the commands
begin
send chaatitrepstbl.ltx
end
to: banach-files at math.okstate.edu.
Abstract:We show that any separable stable Banach space
can be represented as a group of isometries on a separable
reflexive
Banach space, which extends a result of S. Guerre and M. Levy.
As a consequence, we can then represent homeomorphically
its space of types.
File length:34K
From banach-request at math.okstate.edu Mon Jun 5 12:11:55 1995
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by P.G. Casazza and N.J. Kalton
Date: Mon, 5 Jun 95 11:02:10 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 863
X-Lines: 32
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "Uniqueness of unconditional bases in
Banach spaces" by P.G. Casazza and N.J. Kalton. The paper is typed in
AMSTeX. The paper may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the commands
begin
send casazzakaltonunqunc.atx
end
to: banach-files at math.okstate.edu.
Abstract:We prove a general result on complemented unconditional
basic sequences
in Banach lattices and apply it to give some new examples of
spaces
with unique unconditional basis. We show that Tsirelson space
and
certain Nakano spaces have the unique unconditional bases. We
also construct an example of a space with a unique unconditional
basis
with a complemented subspace failing to have a unique
unconditional
basis.
File length:76K
From banach-request at math.okstate.edu Fri Jul 21 15:37:08 1995
From: Thomas Schlumprecht <Thomas.Schlumprecht at math.tamu.edu>
Date: Fri, 21 Jul 1995 15:24:47 -0500
To: banach-dist at math.okstate.edu
X-Sun-Charset: US-ASCII
Content-Length: 3538
Status: RO
X-Status:
X-Lines: 56
---------------------------------------------------------------------
SECOND ANNOUNCEMENT OF SUMIRFAS
The 1995 Summer Informal Regional Functional Analysis
Seminar will meet meet Friday, Saturday, and Sunday
August 11-13 in 317 Milner Hall at Texas A&M in
College Station.
SCHEDULE: This will be announced in the third SUMIRFAS announcement,
about one week before the conference. The first talk on Friday will be
at 11 a.m. and the last talk on Sunday will end at 4 p.m. Most participants
will be arriving thursday and leaving monday.
SPEAKERS: The main speakers will include Hari Bercovici, Evareste Gine,
Vladimir Koltchinskii, Joram Lindenstrauss, Ted Odell, Vern Paulsen,
Norberto Salinas, and Gideon Schechtman. There will also be a number
of 20 minute talks.
HOUSING: Since this is summer graduation weekend at A&M, you will
probably have difficulty making reservations directly. We have
reserved a bloc of rooms at Hampton Inn, which is close to campus.
You will need to go through Jan Want, (jan.want at math.tamu.edu,
(409) 845-3261, FaX (409) 845-6028 ) to get one of these rooms.
Please tell Jan whether you are requesting support, the type of
accomodation you desire (smoking or nonsmoking), which night(s)
you need the room, and give her a roommate preference. We expect
to be able to cover housing, possibly in a double room, for most
participants. Preference will be given to participants who do not
have other sources of support, such as sponsored research grants.
IMPORTANT: Our reserved block of rooms at the Hampton Inn will
expire on July 28 in the sense that any rooms left that have not been
booked for a workshop participant by that time will be released to the
general public. Those were the terms they gave us. So if you wait, you
may have a great deal of difficulty getting a room. Contact Dave Larson
( larson at math.tamu.edu ) about this if you have trouble, and he or
Jan Want will try to assist you. Apart from graduation, there is also
another large convention in town during this time, so rooms are scarce.
BANQUET: Srdjan Petrovic (PETROVIC at IU-MATH.MATH.INDIANA.EDU)
and Hari Bercovici of Indiana University will be organizing a Banquet
on Saturday, Aug 12 in honor of Carl Pearcys 60th birthday. They will
provide you with additional information about this.
WORKSHOP: A number of participants in our Informal Summer Workshop on
Linear Analysis and Probability will be present at A&M for varying periods of
time during the summer preceeding and following SUMIRFAS.
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 banach-request at math.okstate.edu Mon Jul 24 09:18:13 1995
To: banach-dist at math.okstate.edu
Subject: Wabash Modern Analysis Seminar
Date: Mon, 24 Jul 95 9:07:04 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 4110
Status: RO
X-Status:
X-Lines: 116
The Wabash Modern Analysis Seminar meets about 4 times
a year at Wabash College (Crawfordsville, IN on I-74 about 50 miles
west
of Indianapolis and 100 miles east of Urbana) for two talks on Saturday
afternoons and holds one larger "Mini-conference" on a weekend in the
fall at a nearby institution. This year, the miniconference is at
IUPUI on September 9 and 10. Current information on the Wabash
Seminar, including the latest additions to the program of the
conference,
is available on the World Wide Web at
http://www.math.purdue.edu/~cowen/Wabash.html
WABASH
EXTRAMURAL MODERN ANALYSIS
MINICONFERENCE
September 9 and 10, 1995
AT
Indiana University-Purdue University at Indianapolis
The Wabash Miniconference, an event coordinated with the Wabash
Extramural
Modern Analysis Seminar, will be held Saturday, September 9 and Sunday,
September 10 at Indiana University-Purdue University at Indianapolis.
Activities will be centered around the IUPUI Mathematics Department
located
in Science-Engineering-Technology Building 3 (SET 3) at 402 N.
Blackford St.
The organizing committee for the miniconference consists of H.
Bercovici of
Indiana U., E. Berkson of the U. of Illinois, C. Cowen of Purdue U.,
and
R. Aliprantis and J. Kaminker of IUPUI.
Invited Speakers
RAUL CURTO, University of Iowa
PER ENFLO, Kent State University
ROBERT FEFFERMAN, University of Chicago
TED GAMELIN, University of California, Los Angeles
MARIA GIRARDI, University of South Carolina
BRAD LUCIER, Purdue University
In addition, sessions for contributed talks will be organized. There
will
be a registration fee of $30 for faculty, $10 for students. The Final
Announcement, including a tentative schedule for the conference, will
be
mailed late August to those participants who have pre-registered by
August 11.
For more information, contact Carl Cowen: 317-494-1943 or
cowen at math.purdue.edu
or on the World Wide Web at
http://www.math.purdue.edu/~cowen/Wabash.html
ALL participants are asked to make their own hotel arrangements.
Roko Aliprantis has negotiated special rates for conference
participants
with University Place, a hotel on the IUPUI campus, for the nights of
September 8 and 9. To receive the reduced rate, you should reserve
your room before August 8 and mention "WABASH MATHEMATICS CONFERENCE."
University Place, 850 West Michigan Street, Indianapolis, IN 46202
317-269-9000 or 800-627-2700 Single: $79 Double: $94
Downtown hotels are about a mile from the IUPUI campus; no conference
rates
have been negotiated with them, but many have weekend rates of about
$75-$110.
Some downtown hotels are Ramada Plaza, 31 W. Ohio St., 800-228-2828;
Westin Hotel, 50 S. Capitol Ave., 800-228-3000; Embassy Suites, 110
W.
Washington St., 800-362-2779; Hyatt Regency, 1 S. Capitol Ave.,
800-233-1234.
Pre-registration forms due by August 11!
PRE-REGISTRATION:
Participants who pre-register by August 11 will receive the final
announcement.
Send a check for $30 (students $10) (payable to CARL COWEN) to:
Carl Cowen, Dept of Math, Purdue Univ, West Lafayette, Indiana
47907-1395
NAME: ______________________________________________________________
ADDRESS: ___________________________________________________________
___________________________________________________________
___________________________________________________________
E-MAIL: ____________________________________________________________
CONTRIBUTED TALKS:
If you wish to contribute a 20 minute talk, please complete the
following,
or send the information by e-mail to cowen at math.purdue.edu
(Receipt of e-mail submissions will be acknowledged).
AFFILIATION: ______________________________________________________
TITLE: ____________________________________________________________
ABSTRACT: __________________________________________________________
___________________________________________________________
___________________________________________________________
___________________________________________________________
From banach-request at math.okstate.edu Fri Jul 7 11:24:13 1995
To: banach-dist at math.okstate.edu
Subject: Summer Informal Regional Functional Analysis Seminar at Texas A&M
Date: Fri, 7 Jul 95 11:16:16 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1691
Status: RO
X-Status:
X-Lines: 39
FIRST ANNOUNCEMENT OF SUMIRFAS
The 1995 Summer Informal Regional Functional Analysis
Seminar will meet meet Friday, Saturday, and Sunday
August 11-13 in 317 Milner Hall at Texas A&M in
College Station.
SCHEDULE: TBA. The first talk on Friday will be at 11 a.m. and
the last talk on Sunday will end at 4 p.m.
SPEAKERS: TBA
HOUSING: Since this is summer graduation weekend at A&M, you will
probably have difficulty making reservations directly. We have
reserved a bloc of rooms at Hampton Inn, which is close to campus.
You will need to go through Jan Want, (jan.want at math.tamu.edu,
(409) 845-3261, FaX (409) 845-6028 ) to get one of these rooms.
Please tell Jan whether you are requesting support, the type of
accomodation you desire (smoking or nonsmoking), which night(s)
you need the room, and give her a roommate preference. We expect
to be able to cover housing, possibly in a double room, for most
participants. Preference will be given to participants who do not
have other sources of support, such as sponsored research grants.
BANQUET: Srdjan Petrovic (PETROVIC at IU-MATH.MATH.INDIANA.EDU)
and Hari Bercovici of Indiana University will be organizing a Banquet
on Saturday, Aug 12 in honor of Carl Pearcys 60th birthday. They will
provide you with additional information about this.
WORKSHOP: A number of participants in our Informal Summer Workshop
on Linear Analysis and Probability will be present at A&M for varying
periods of time during the summer preceeding and following SUMIRFAS.
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 banach-request at math.okstate.edu Fri Jul 7 11:24:25 1995
To: banach-dist at math.okstate.edu
Subject: Position at Kent State at East Liverpool
Date: Fri, 7 Jul 95 11:19:10 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 815
Status: RO
X-Status:
X-Lines: 21
There is a tenure-track appointment for Assistant Professor at the
East Liverpool Campus of Kent State University, available
Fall, 1995, with responsibilities for teaching a wide range of
undergraduate courses from Developmental Math to Calculus. A strong
interest in teaching undergraduate students in essential. A
tenure-track
appointment carries the expectations of teaching excellence,
scholarship
and professional activity. A PhD in Mathematics and teaching experience
are required; evidence of scholarship is preferred.
Application deadline: July 15, 1995. To apply, please send letter of
application, vitae, transcripts, and names and addresses of three
references by this date to:
Dr. Alan Coe
Dean for Academic Affairs
Regional Campuses
Kent State University
P.O. Box 5190
Kent, Ohio 44242-0001
From banach-request at math.okstate.edu Fri Jul 28 10:59:42 1995
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by D. Werner
Date: Fri, 28 Jul 95 10:50:25 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 761
Status: RO
X-Lines: 25
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "The Daugavet equation for operators
on function spaces" by D. Werner. The paper is typed in LATeX. The
paper may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the commands
begin
send wernerdaugavet.ltx
end
to: banach-files at math.okstate.edu.
Abstract:
We prove the norm identity $\|\Id+T\| =1+\|T\|$, which is known as
the Daugavet equation, for weakly compact operators $T$ on natural
function spaces such as function algebras and $L^{1}$-predual spaces,
provided a non-discreteness assumption is met. We also consider
$c_{0}$-factorable operators and operators on
$C_{\Lambda}$-spaces.
File length:42K
From banach-request at math.okstate.edu Wed Aug 9 12:00:35 1995
To: banach-dist at math.okstate.edu
Subject: FINAL ANNOUNCEMENT OF SUMIRFAS
Date: Wed, 9 Aug 95 11:46:24 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 5666
X-Lines: 160
Status: RO
FINAL ANNOUNCEMENT OF SUMIRFAS
*****Note the BUILDING CHANGE to Blocker Hall*****
(You may wish to park in the North Side Parking
Garage on
campus, which is just across the street from
Blocker)
The 1995 Summer Informal Regional Functional Analysis Seminar
will meet Friday, Saturday, and Sunday August 11-13 in
120 BLOCKER HALL at Texas A&M University in College
Station.
------------------------------------------------------------------------------
SCHEDULE SUMIRFAS-95
Friday, August 11
10:30-11:00 Coffee & Donuts
11:00-11:50 Gideon Schechtman, Weizmann Institute, A peculiar
rearrangement of the Haar system
11:50-2:00 BREAK FOR LUNCH
1:45-2:00 Coffee & Cookies
2:00-2:50 Hari Bercovici, Indiana Univ., Non-commutative
probability
theory and analytic functions
3:00-3:50 Palle Jorgensen, Univ. of Iowa, Use of non-commutative
harmonic analysis in operator theory
3:50-4:20 COFFEE BREAK
4:20-4:40 Srdjan Petrovic, Indiana Univ., Some remarks on the
operator
of Foias and Williams
4:50-5:10 Wing-Suet Li, Georgia Tech., On generalized wavelets
and
unitary systems
5:20-5:40 Lifeng Ding, Georgia State Univ., The local property
and the
reflexivity of operator spaces
5:50-6:10 Alan Lambert, Univ. North Carolina-Charlotte,
Measurable
majorants in L^1
6:10-7:10 BARBEQUE IN BLOCKER
7:10-7:30 Adrian Ionescu, Texas Lutheran Univ., On pairs of
commuting operators and invariant subspaces
7:40-8:00 Alfredo Octavio, Inst. Venezuela de Invest Cient,
Representations of H^infty(D^n) generated by
n-tuples
of commuting contractions
8:10-8:30 Michael Marsalli, Illinois State Univ., Noncommutative
H^p spaces
8:30-8:50 20 MIN BREAK
8:50-9:10 Sarah Ferguson, Univ. of Houston, Invariant operator
ranges and reproducing kernels
9:20-9:40 Larry Fialkow, SUNY-New Paltz, The multivariate
truncated
moment problem
9:50-10:10 Gelu Popescu, Univ. of Texas-San Antonio, Positive
definite
functions on free semigroups
10:10-10:30 20 MIN BREAK
10:30-10:50 George Exner and Il Bong Jung, Bucknell Univ. and
Coll. Nat. Sci.-Korea, Some multiplicities for
contractions with Hilbert-Schmidt defect
11:00-11:20 Bernard Chevreau, Univ. Bordeaux, On boundary sets
for contractions
Saturday, August 12
9:30-10:00 Coffee & Donuts
10:00-10:50 Norberto Salinas, Univ. of Kansas, A model for joint
hyponormality
11:00-11:50 Ted Odell, Univ. of Texas, The distortion problem
11:50-2:00 BREAK FOR LUNCH
1:45-2:00 Coffee & Cookies
2:00-2:50 Ronald Douglas, SUNY-Stony Brook, Invariants for
Hilbert
modules
3:00-3:50 Vladimir Koltchinskii, Univ. New Mexico, Spatial
quantiles
and convexity
3:50-4:20 COFFEE BREAK
4:20-4:40 Alexandru Nica, Fields Institute, Combinatorial
methods
for studying free random variables
4:50-5:10 Beata Randrianatonina, Univ. of Texas, Isometries and
1-unconditional bases of sequence spaces
5:20-5:40 Tim Hudson, East Carolina Univ., Extreme points in
TUHF
algebras
5:50-6:10 Maria Girardi, Completely continuous operators on L_1
6:30-7:15 Cash Bar at the Faculty Club
7:30- Banquet at the Faculty Club
* See Carl Pearcy or Jan Want if you would like to attend the
banquet
but have not yet purchased a ticket..
** The Faculty Club is at the top of Rudder Tower on campus
Sunday, August 13
9:30-10:00 Coffee & Donuts
10:00-10:50 Joram Lindenstrauss, Univ. of Jerusalem, The uniform
structure of Banach spaces
11:00-11:20 David Blecher, Univ. of Houston, Closure of a certain
gap in
the circle of ideas in the theory of
C*-modules and
Morita equivalence
11:30-11:50 Alvaro Arias, Univ. of Texas-San Antonio, Complete
isomorphisms of the von Neumann group
algebras
11:50-2:00 BREAK FOR LUNCH
1:45-2:00 Coffee & Cookies
2:00-2:50 Evarest Gine, Univ. of Connecticut, On the LIL for
U-statistics
3:00-3:50 Vern Paulsen, Univ. of Houston, TBA
END OF SUMIRFAS-95
---------------------------------------------------------
HOUSING: Since this is summer graduation weekend at A&M, if you
have not already made reservations you will probably have difficulty
making reservations directly. Contact Jan Want
(jan.want at math.tamu.edu,
(409) 845-3261, FaX (409) 845-6028 ) about your housing needs. We
expect to be able to cover housing, possibly in a double room, for most
participants. Preference will be given to participants who do not
have other sources of support, such as sponsored research grants.
BANQUET: Srdjan Petrovic (PETROVIC at IU-MATH.MATH.INDIANA.EDU)
and Hari Bercovici of Indiana University will be organizing a Banquet
on Saturday, Aug 12 in honor of Carl Pearcys 60th birthday. They will
provide you with additional information about this.
TALKS: Transparencies, blackboard & chalk, or a combination. The 50
min
talks, especially, should be in the style of a functional
analysis/probability
colloquium lecture, accessable to a somewhat wider audience than would
be a technical seminar.
---------------------------------------------------------
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 banach-request at math.okstate.edu Fri Aug 4 10:39:48 1995
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by J. Wenzel
Date: Fri, 4 Aug 95 10:29:24 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1143
Status: RO
X-Status:
X-Lines: 41
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "Vector-valued Walsh-Paley
martingales and geometry of Banach spaces" by Joerg Wenzel. The paper
is typed in LaTeX. The paper may be downloaded from the bulletin board
by ftp to ftp.math.okstate.edu or transmitting the commands
begin
send wenzelwpmart.ltx
end
to: banach-files at math.okstate.edu.
Abstract:The concept of Rademacher type $p$ ($1\leq p\leq2$) plays an
important
role in the local theory of Banach spaces.
In \cite{mas88} Mascioni
considers a weakening of this concept and shows that for a Banach
space $X$ weak Rademacher type $p$ implies Rademacher type $r$
for all
$r<p$.
As with Rademacher type $p$ and weak Rademacher type $p$, we
introduce
the concept of Haar type $p$ and weak Haar type $p$ by replacing
the
Rademacher functions by the Haar functions in the respective
definitions.
We show that weak Haar type $p$ implies Haar type $r$ for all
$r<p$.
This solves a problem left open by Pisier \cite{pis75}.
The method is to compare Haar type ideal norms related to
different
index sets.
File length:46K
From banach-request at math.okstate.edu Tue Aug 15 09:18:07 1995
To: banach-dist at math.okstate.edu
Subject: New email address for T. Gowers
Date: Tue, 15 Aug 95 9:07:35 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 158
X-Lines: 10
Status: RO
The system where I receive much of my email is closing down at the end
of
August. My new address (valid already) is
wtg10 at pmms.cam.ac.uk
Tim Gowers
From banach-request at math.okstate.edu Mon Aug 21 09:02:55 1995
To: banach-dist at math.okstate.edu
Subject: Wabash Announcement
Date: Mon, 21 Aug 95 8:52:06 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 3671
X-Lines: 96
Status: RO
Final
Announcement
WABASH
EXTRAMURAL MODERN ANALYSIS
MINICONFERENCE
September 9 and 10, 1995
at
Indiana U.-Purdue U. at Indianapolis
Invited lectures Saturday will be in LE 101 of the Lecture Hall
at IUPUI and registration will be in the lobby adjacent to LE 101.
Contributed talks will be in the Business School nearby.
Friday:
7:00-11:00 Conversation and Cash Bar
Indiana Room, University Place Hotel
Saturday:
8:30 Registration, coffee, and donuts
9:00-9:10 Welcome to Indiana Univ - Purdue Univ at Indianapolis
9:10-10:00 SASHA VOLBERG, Michigan State University
Matrix Muckenhaupt Weights
10:10-10:30 Session for Contributed Papers
DAVID CRUZ-URIBE, SFO, Purdue University, West Lafayette
Two-weight Norm Inequalities for the One-sided
Fractional Maximal Operator
ALAN PATERSON, University of Mississippi
Sheaf Groupoids and Kumjian's Localization C*-algebra
Break
11:00-11:20 Session for Contributed Papers
JOANNE DOMBROWSKI, Wright State University
Spectral Measures and Jacobi Matrices Related to
Laguerre Type Systems of Orthogonal Polynomials
MARIUS DADARLAT, Purdue University, West Lafayette
Universal Coefficient Theorems for KK Theory
11:30-12:20 PER ENFLO, Kent State University
To Be Announced
Lunch
1:40-2:30 BRAD LUCIER, Purdue University, West Lafayette
Nonlinear Approximation, Wavelets,
and Partial Differential Equations
2:40-3:30 TED GAMELIN, University of California, Los Angeles
Compactness of Hankel Operators on H^\infty(D)
Break
4:10-4:30 Session for Contributed Papers
SARAH FERGUSON, University of Houston
Invariant Operator Ranges and Reproducing Kernels
SONG-YING LI, Washington University
On the Characterization of a Family of Commutators in
L^p
XIAN-JIN LI, Purdue University, West Lafayette
On Discrete Spectrum of the Beltrami-Laplace Operator
4:40-5:00 Session for Contributed Papers
DARRIN SPEEGLE, Texas A\&M University
Elementary Wavelets
LIBIN MOU, Bradley University
Curves on Riemannian Manifolds of Minimal Tensions
ALEXANDER KOLDOBSKY, University of Texas at San Antonio
Convolution and Fourier Transform in Infinite Dimen'l
Spaces
5:10-5:30 Session for Contributed Papers
MARK HO, Purdue University, West Lafayette
Spectra of Slant Toeplitz Operators
VICTOR OLESEN, Purdue University, West Lafayette
Convergence of Convolution Operators
XIAO-XIONG GAN, Morgan State University
Reconstruction Problems
5:40-6:00 Session for Contributed Papers
GABOR ELEK, Purdue University, West Lafayette
The Cheeger-Gromov Cohomology of a Group Is
Quasi-isometry Invariant
7:00-11:00 Conversation and Cash Bar
Indiana Room, University Place Hotel
Sunday:
Invited lectures Sunday will be in the basement of the Math/Science
Building LD in room LD 010 and the contributed talks in rooms nearby.
8:30 Coffee and donuts
9:00-9:50 RAUL CURTO, University of Iowa
An Operator-Theoretic Approach to the Truncated Complex
Moment Problem
10:00-10:50 MARIA GIRARDI, University of South Carolina
Universal Non-Completely-Continuous Operators
Break
11:30-11:50 Session for Contributed Papers
SRDJAN PETROVIC, Indiana University, Bloomington
Generalized Scalar Operators as Dilations
BRUCE REZNICK, University of Illinois
L_\infty Bounds on the Laplacian, Riesz Interpolation,
and Some Trigonometric Identities
12:00-12:50 ROBERT FEFFERMAN, University of Chicago
To Be Announced
From banach-request at math.okstate.edu Fri Sep 8 09:15:17 1995
To: banach-dist at math.okstate.edu
Subject: Change of email addresses at Missouri
Date: Fri, 8 Sep 95 9:05:26 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 239
X-Lines: 14
Status: RO
All e-mail addresses in our department that used to be
like
esaab.cs.missouri.edu
has been changed to
esaab.math.missouri.edu
Replace .cs. by .math.
For example Pete Casazza's address is now
pete at casazza.math.missouri.edu
Thanks
Elias
From banach-request at math.okstate.edu Wed Sep 13 12:24:42 1995
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by Y.Abramovich and M. Zaidenberg
Date: Wed, 13 Sep 95 12:15:29 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 840
X-Lines: 31
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "A rearrangement invariant space
isometric to $L_p$ coincides with $L_p$" by Yuri Abramovich and Mikhail
Zaidenberg.
The paper is typed in LaTeX. The paper may be downloaded
from the bulletin board by ftp to ftp.math.okstate.edu
or transmitting the commands
begin
send abramovichzaidenbergLp.ltx
end
to: banach-files at math.okstate.edu.
Abstract:The following theorem is the main result of this note.
Theorem 1.
Let $(E, \|\cdot\|_E) $ be a rearrangement invariant Banach
function space on the interval $[0, 1]$. If $E$ is isometric to
$\L_p [0, 1]$ for some $1\le p<\infty$, then $E$ coincides with
$\L_p [0, 1]$ and furthermore $\|\cdot\|_E = \lambda\|\cdot\|_{\L_p}$,
where $\lambda = \|{\bf 1}\|_E$.
File length:16K
From banach-request at math.okstate.edu Mon Sep 25 16:50:01 1995
To: banach-dist at math.okstate.edu
Subject: Abstracts of two papers by P.Casazza and O.Christiansen
Date: Mon, 25 Sep 95 16:38:30 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 2267
X-Lines: 69
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper " Hilbert space frames containing a
Riesz basis and Banach spaces which have no subspace isomorphic to
$c_0$" by Peter G. Casazza and Ole Christensen. The paper is typed in
LaTeX. The paper may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the commands
begin
send casazzachristiansenfrm.ltx
end
to: banach-files at math.okstate.edu.
Abstract:We prove that a Hilbert space frame $\fti$ contains a Riesz
basis if every subfamily $\ftj ,
J \subseteq I ,$ is a frame for its closed span. Secondly we give
a new characterization of Banach spaces
which do not have any subspace isomorphic to $c_0$. This result
immediately leads to an improvement of a recent theorem of
Holub concerning frames consisting of a Riesz basis plus finitely many
elements.
File length:27K
----------------------------------------------------
This is the abstract of the paper "Frames containing a Riesz basis and
preservation of this property under perturbation" by Peter G. Casazza
and Ole Christensen. The paper is typed in LaTeX. The paper may be
downloaded from the bulletin board by ftp to ftp.math.okstate.edu or
transmitting the commands
begin
send casazzachristiansenfrmp.ltx
end
to: banach-files at math.okstate.edu.
Abstract:Aldroubi has shown how one can construct any frame $\gtu$
starting with one frame $\ftu $,using a bounded operator $U$ on
$l^2(N)$.
We study the overcompleteness of the frames in terms of properties of
$U$.
We also discuss perturbation of frames in the sense that two frames are
``close'' if a certain operator is compact. In this way we obtain an
equivalence relation with the property that members of the same
equivalence class have the same overcompleteness. On the other hand we
show
that perturbation in the Paley-Wiener sense does not have this
property. \\
Finally we construct a frame which is norm-bounded below, but which
does not
contain a Riesz basis.The construction is based on the delicate
difference
between the unconditional convergence of the frame representation, and
the
fact that
a convergent series in the frame elements need not converge
unconditionally.
File length:37K
From banach-request at math.okstate.edu Fri Oct 13 08:59:50 1995
To: banach-dist at math.okstate.edu
Subject: Positions at MU-Math Department
Date: Fri, 13 Oct 95 8:49:18 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1252
Status: RO
X-Lines: 30
University of Missouri-Columbia
Department of Mathematics
202 Math Sciences Building
Columbia, MO 65211
CONTACT PERSON: Elias Saab
E-MAIL ADDRESS: mathumc at mizzou1.missouri.edu
DESCRIPTION: Applications are invited for up to two tenure-track
positions at the Advanced Assistant Professor level beginning in
August of 1996. The positions require a Ph.D. in Mathematics, quality
teaching and a distinguished research career. Selections for the
positions will be based primarily on demonstrated research achievement
in Commutative Algebra/Algebraic Geometry or Modern Analysis/Harmonic
Analysis. Send a curriculum vitae along with a letter of application
(include e-mail address) and arrange for three letters of
recommendation to be sent to: Elias Saab, Chair at the address above.
The application deadline is January 31, 1996, or until the position is
filled thereafter. Applications received after February 28, 1996, will
not be guaranteed consideration. All applicants are required to fill
the AMS Stanard Cover Sheet (See Notices of the AMS, September 95,
page 1064) More information might be available
at:http://math.cs.missouri.edu/~elias. AA/EEO.
----------------------------------------------------------------------
From banach-request at math.okstate.edu Fri Sep 29 15:23:24 1995
To: banach-dist at math.okstate.edu
Subject: Abstracts of two papers by R. Haydon
Date: Fri, 29 Sep 95 15:14:08 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 4203
Status: RO
X-Status:
X-Lines: 122
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "Smooth functions and partitions of
unity on certain Banach spaces" by Richard Haydon. The paper is typed
in AMSTeX. The paper may be downloaded from the bulletin board by ftp
to ftp.math.okstate.edu or transmitting the commands
begin
send haydonsmfunct.atx
end
to: banach-files at math.okstate.edu.
Abstract::We construct infinitely differentiable norms and partitions
of
unity for a class of Banach spaces which includes all spaces $\C(K)$
with $K$
a countable compact space, and all spaces $\C_0[0,\Omega )$ with
$\Omega $ an
ordinal.
File length:38K
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "Trees in renorming theory" by
Richard Haydon.
The paper is typed in AMSTeX. The paper may be downloaded
from the bulletin board by ftp to ftp.math.okstate.edu
or transmitting the commands
begin
send haydontree.atx
end
to: banach-files at math.okstate.edu.
Abstract:Trees are very agreeable objects to work with, offering a
diversity
of behaviour within a structure that is sufficiently simple to admit
precise
analysis. Thus we are able to offer fairly satisfactory necessary and
sufficient conditions on a tree $\Upsilon $ for the existence of
equivalent
LUR or strictly convex norms on $\C_0(\Upsilon )$ and for norms with
the Kadec
Property. In particular, we show that for a {\sl finitely branching}
tree
$\Upsilon $ the space $\C_0(\Upsilon )$ admits a Kadec renorming. Since
some
finitely branching trees fail the condition for strictly convex
renormability,
we obtain an example of a Banach space that is Kadec renormable but not
strictly convexifiable. Consideration of specially tailored examples
enables
us to answer the ``three-space problem'' for strictly convex renorming:
there
exists a Banach space $X$ with a closed subspace $Y$ such that both $Y$
and
the quotient $X/Y$ admit strictly convex norms, while $X$ does not. We
also
solve a problem about the the property of mid-point locally uniform
convexity
(MLUR), showing that this does not imply LUR renormability.
In the case of smoothness properties of renormings, we give a necessary
and
sufficient condition for the existence of a Fr\'echet-smooth renorming,
which
turns out (rather surprisingly) to be the same as the condition for LUR
renormability. We also show that when $\C_0(\Upsilon )$
admits a Fr\'echet smooth norm it even admits a $\C^\infty$ norm. By
considering another specially tailored tree we obtain solution to the
quotient
problem for Fr\'echet differentiable renorming: there is a Banach space
$X$
with a Fr\'echet differentiable norm and a closed subspace $Y$ such
that the
quotient space $X/Y$ admits no Fr\'echet differentiable renorming. We
have few
results about G\^ateaux differentiability, though we do give an example
of a
space $X$ (as always, of the form $\C_0(\Upsilon )$) which is not
strictly
convexifiable even though it admits an equivalent norm with strictly
convex
dual norm. This seems to be the first example of a space with a
G\^ateaux
smooth norm which is not strictly convexifiable.
Finally we include some results that are not about renorming theory in
the
strict sense. The theorem of Ekeland and Lebourg already cited in this
introduction was in fact proved with hypothesis weaker than the
existence of
a Fr\'echet smooth norm. They needed only a non-trivial Fr\'echet
differentiable function of bounded support, what is usually referred to
as a
``bump function''. A number of more recent results have been
established
subject to hypotheses of this type, including the interesting
variational results of Deville, Godefroy and Zizler [\DGZtwo]. Using a
non-linear version of our technique for the construction of Fr\'echet
differentiable norms, as presented in [\Haydonfive], we show that
$\C_0(\Upsilon )$ admits a $\C^\infty$ bump function for every tree
$\Upsilon
$, so that there certainly exist spaces that admit bump functions but
no good
norms. Finally, using another result from [\Haydonfive], we show that
$\C_0(\Upsilon )$ always admits $\C^\infty$ partitions of unity.
File length:152K
From banach-request at math.okstate.edu Mon Sep 25 16:50:01 1995
To: banach-dist at math.okstate.edu
Subject: Abstracts of two papers by P.Casazza and O.Christiansen
Date: Mon, 25 Sep 95 16:38:30 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 2267
Status: RO
X-Status:
X-Lines: 69
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper " Hilbert space frames containing a
Riesz basis and Banach spaces which have no subspace isomorphic to
$c_0$" by Peter G. Casazza and Ole Christensen. The paper is typed in
LaTeX. The paper may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the commands
begin
send casazzachristiansenfrm.ltx
end
to: banach-files at math.okstate.edu.
Abstract:We prove that a Hilbert space frame $\fti$ contains a Riesz
basis if every subfamily $\ftj ,
J \subseteq I ,$ is a frame for its closed span. Secondly we give
a new characterization of Banach spaces
which do not have any subspace isomorphic to $c_0$. This result
immediately leads to an improvement of a recent theorem of
Holub concerning frames consisting of a Riesz basis plus finitely many
elements.
File length:27K
----------------------------------------------------
This is the abstract of the paper "Frames containing a Riesz basis and
preservation of this property under perturbation" by Peter G. Casazza
and Ole Christensen. The paper is typed in LaTeX. The paper may be
downloaded from the bulletin board by ftp to ftp.math.okstate.edu or
transmitting the commands
begin
send casazzachristiansenfrmp.ltx
end
to: banach-files at math.okstate.edu.
Abstract:Aldroubi has shown how one can construct any frame $\gtu$
starting with one frame $\ftu $,using a bounded operator $U$ on
$l^2(N)$.
We study the overcompleteness of the frames in terms of properties of
$U$.
We also discuss perturbation of frames in the sense that two frames are
``close'' if a certain operator is compact. In this way we obtain an
equivalence relation with the property that members of the same
equivalence class have the same overcompleteness. On the other hand we
show
that perturbation in the Paley-Wiener sense does not have this
property. \\
Finally we construct a frame which is norm-bounded below, but which
does not
contain a Riesz basis.The construction is based on the delicate
difference
between the unconditional convergence of the frame representation, and
the
fact that
a convergent series in the frame elements need not converge
unconditionally.
File length:37K
From banach-request at math.okstate.edu Fri Oct 13 13:33:37 1995
To: banach-dist at math.okstate.edu
Subject: chair search at CWRU
Date: Fri, 13 Oct 95 13:26:03 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 2298
X-Lines: 58
Status: RO
The Department of Mathematics of Case Western Reserve University
invites
applications for the position of Chair and Professor of Mathematics.
The
Chair will be expected to provide leadership in maintaining and
developing
excellence in research and teaching. Candidates should be senior
mathematicians with outstanding credentials in both of those areas as
well
as demonstrated service to the profession. It is expected that several
faculty positions will be filled in the period immediately following
the
Chair's appointment.
Case Western Reserve University is a private research university with
broadly based strengths in the arts and sciences, engineering, health
sciences, including medicine, nursing, and dentistry, and in law,
management, and social work. The University enrolls over 9200 students
in
undergraduate, graduate and professional programs and annually attracts
more than $125 million in research support. The campus is located in
University Circle, a beautiful 550 acre cultural and intellectual
center on
the eastern edge of Cleveland, Ohio.
The Department of Mathematics is involved in both undergraduate and
graduate instruction and has active research programs in a number of
areas
of pure and applied mathematics. More information about Case Western
Reserve University and the Department of Mathematics is available on
the
WWW through http://www.cwru.edu/CWRU/Dept/Artsci/math/chair.html
CWRU is an Affirmative Action/Equal Opportunity Employment Opportunity
employer. Women and minority group candidates are especially
encouraged to
apply. Applicants should send a current curriculum vitae with a list
of
references and are also invited to submit a letter that addresses how
their
strengths match the requirements of the position as well as what they
perceive its challenges and opportunities to be. Applications should be
received by January 15, 1996 to receive full consideration although the
search will proceed until the position is filled. Applications,
nominations, and inquiries should be directed to:
John E. Bassett, Dean
College of Arts and Sciences
Case Western Reserve University
10900 Euclid Avenue
Cleveland, OH 44106-7068
Phone: 216 368 4413, Fax: 216 368 3842, E-mail: jeb20 at po.cwru.edu
Forwarded message from S. Szarek, sjs13 at po.cwru.edu.
From banach-request at math.okstate.edu Fri Oct 27 12:55:24 1995
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by S. J. Szarek and D. Voiculescu
Date: Fri, 27 Oct 95 12:46:05 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1401
X-Lines: 40
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "Volumes of Restricted Minkowski Sums
and the Free Analogue of the Entropy Power Inequality" by S. J. Szarek
and D. Voiculescu. The paper is typed in AMSTeX. The paper may be
downloaded from the bulletin board by ftp to ftp.math.okstate.edu or
transmitting the commands
begin
send szarekvoiculescuvrm.atx
end
to: banach-files at math.okstate.edu.
Abstract:In noncommutative probability theory independence can be based
on
free products instead of tensor products. This yields a highly
noncommutative
theory: free probability . Here we show that the classical Shannon's
entropy
power inequality has a counterpart for the free analogue of entropy .
The free entropy (introduced recently by the second named author),
consistently with Boltzmann's formula
$S=k\log W$, was defined via volumes of matricial microstates.
Proving the free entropy power inequality naturally becomes a
geometric question.
Restricting the Minkowski sum of two sets means to specify the set
of pairs of points which will be added. The relevant inequality,
which holds when the set of "addable" points is sufficiently large,
differs from the Brunn-Minkowski inequality by having the exponent
$1/n$ replaced by $2/n$. Its proof uses the rearrangement
inequality of Brascamp-Lieb-L\"uttinger .
File length:22K
From banach-request at math.okstate.edu Wed Nov 8 14:57:13 1995
To: banach-dist at math.okstate.edu
Subject: Abstracts of two papers by N. Randrianantoanina
Date: Wed, 8 Nov 95 14:43:52 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 2145
Status: RO
X-Lines: 65
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "Complemented copies of $\ell_1$ in
spaces of vector valued measures and applications" by N.
Randrianantoanina.
The paper is typed in AMSLaTeX. The paper may be downloaded
from the bulletin board by ftp to ftp.math.okstate.edu
or transmitting the commands
begin
send nrandricmpl1.ltx
end
to: banach-files at math.okstate.edu.
Abstract:Let $X$ be a Banach space and $(\Omega,\Sigma)$ be a measure
space. We provide a characterization of sequences in the space of
$X$-valued countably additive measures on $\Omega,\Sigma)$ of bounded
variation that generate complemented copies of $\ell_1$.
As application, we prove that if a dual Banach space $E^*$ has
Pe\l czy\'nski's property (V*) then so does the space of $E^*$-valued
countably additive measures with bounded variation.
Another application, we show that for a Banach space $X$, the space
$\ell_\infty(X)$ contains a complemented copy of $\ell_1$ if and only
if $X$ contains all $\ell_1^n$ uniformly complemented.
File length:53K
---------------------------------------
This is the abstract of the paper "Absolutely summing operators on non
commutative $C^*$-algebras and applications" by N. Randrianantoanina.
The paper is typed in AMSLaTeX. The paper may be downloaded from the
bulletin board by ftp to ftp.math.okstate.edu or transmitting the
commands
begin
send nrandriabsumop.ltx
end
to: banach-files at math.okstate.edu.
Abstract:Let $E$ be a Banach space that does not contain any
copy of $\ell^1$ and $\A$ be a non commutative $C^*$-algebra.
We prove that every absolutely summing operator from $\A$ into
$E^*$ is compact, thus answering a question of Pe\l czynski.
As application, we show that if $G$ is a compact metrizable abelian
group and $\Lambda$ is a Riesz subset of its dual then every countably
additive $\A^*$-valued measure with bounded variation and whose Fourier
transform is supported by $\Lambda$ has relatively compact range.
Extensions of the same result to symmetric spaces of measurable
operators are also
presented.
File length:29K
From banach-request at math.okstate.edu Mon Oct 16 09:56:05 1995
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by P. Bandyopadhyay and S. Basu
Date: Mon, 16 Oct 95 9:41:18 CDT
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 850
Status: RO
X-Status:
X-Lines: 26
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "On A New Asymptotic Norming
Property" by Pradipta Bandyopadhyay and Sudeshna Basu. The paper is
typed in LaTeX. The paper may be downloaded from the bulletin board by
ftp to ftp.math.okstate.edu or transmitting the commands
begin
send bandybasuasymnrm.ltx
end
to: banach-files at math.okstate.edu.
Abstract:In this work, we introduce a new Asymptotic Norming Property
(ANP) which lies between the strongest and weakest of the
existing ones, and obtain isometric characterisations of it.
The corresponding w*-ANP turns out to be equivalent on the one
hand, to Property $(V)$ introduced by Sullivan, and to a ball
separation property on the other. We also study stability
properties of this new ANP and its w*-version.
File length:24K
From banach-request at math.okstate.edu Thu Dec 7 10:17:37 1995
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by A. Skorik and M. Zaidenberg
Date: Thu, 7 Dec 95 10:06:52 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1074
X-Lines: 37
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "On isometric reflexions in Banach
spaces" by A. Skorik and M. Zaidenberg. The paper is typed in LaTeX.
The
paper may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the commands
begin
send skorikzaidenbergisoref.ltx
end
to: banach-files at math.okstate.edu.
Abstract:We obtain the following characterization of
Hilbert spaces. Let $E$ be a
Banach space whose unit sphere $S$ has a hyperplane of symmetry.
Then $E$ is a
Hilbert space iff any of the following two conditions is fulfilled:
a) the isometry group ${\rm Iso}\, E$ of $E$ has a dense orbit in S;
b) the identity component $G_0$ of the group ${\rm Iso}\, E$
endowed with
the strong operator topology acts topologically irreducible on $E$.
Some related results on infinite dimentional Coxeter groups generated
by
isometric reflexions are given which allow to analyse the structure of
isometry groups containing sufficiently many reflexions.
File length:116K
From banach-request at math.okstate.edu Thu Dec 7 12:37:53 1995
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by G. Pisier
Date: Thu, 7 Dec 95 11:58:01 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 1248
X-Lines: 38
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "A simple proof of a theorem of
Kirchberg and related results on $C^*$-norms" by Gilles Pisier. The
paper is typed in TeX. The paper may be downloaded from the bulletin
board by ftp to ftp.math.okstate.edu or transmitting the commands
begin
send pisierthmkirchberg.tex
end
to: banach-files at math.okstate.edu.
Abstract:Recently, E.\ Kirchberg [K1--2] revived the study of pairs of
$C^*$-algebras $A,B$ such that there is only one $C^*$-norm on the
algebraic tensor product $A\otimes B$, or equivalently such that $A
\otimes_{\rm min}B = A\otimes_{\rm max}B$. Recall that a $C^*$-algebra
is
called nuclear cf.\ [L, EL] if this happens for any $C^*$-algebra $B$.
Kirchberg [K1] constructed the first example of a non-nuclear
$C^*$-algebra
such that $A\otimes_{\rm min} A^{op} = A \otimes_{\rm max} A^{op}$. He
also
proved the following striking result [K2] for which we
give a very simple proof and which we extend.
\proclaim Theorem 0.1. {\bf (Kirchberg [K2]).} Let $F$ be
any free group and let $C^*(F)$ be the (full)
$C^*$-algebra of $F$, then $$C^*(F) \otimes_{\rm min} B(H)
= C^*(F) \otimes_{\rm max} B(H).$$
File length:44K
From banach-request at math.okstate.edu Thu Dec 7 12:37:31 1995
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by M. Zaidenberg
Date: Thu, 7 Dec 95 10:12:03 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 662
X-Lines: 23
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "A representation of isometries on
function spaces" by M. Zaidenberg. The paper is typed in TeX. The
paper may be downloaded from the bulletin board by ftp to
ftp.math.okstate.edu or transmitting the commands
begin
send zaidenbergisomfunc.tex
end
to: banach-files at math.okstate.edu.
Abstract:The main result says that every surjective isometry
between two ideal Banach function spaces satisfying certain conditions
can be presented as a composition of a measurable transformation of a
variable and multiplication by a function.
File length:47K
From banach-request at math.okstate.edu Fri Dec 15 14:57:09 1995
To: banach-dist at math.okstate.edu
Subject: Abstracts of three papers
Date: Fri, 15 Dec 95 14:50:22 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 2763
X-Lines: 100
Status: RO
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "Constructions of $\Cal L_p$ spaces
for $p \in (1,\infty)\setminus \{2\}$" by Gregory Force. The paper is
typed in TeX. The paper may be downloaded from the bulletin board by
ftp to ftp.math.okstate.edu or transmitting the commands
begin
send forcescriptLp.tex
end
to: banach-files at math.okstate.edu.
Abstract:This is an exposition of the known techniques for constructing
$\Cal L_p$-spaces for $p\in (1,\infty)\setminus \{2\}$, including some
unpublished work of Alspach. Isomorphic and complemented embedding
relations between these spaces are also explored.
File length:446K
<<<<<<<<<>>>>>>>>>>>
This is the abstract of the paper "Quadratic forms in unitary
operators" by Gilles Pisier. The paper is typed in TeX. The paper may
be downloaded from the bulletin board by ftp to ftp.math.okstate.edu or
transmitting the commands
begin
send pisierquad.tex
end
to: banach-files at math.okstate.edu.
Abstract:Let $u_1,\ldots,u_n$ be unitary operators on a Hilbert space
$H$.
We study the norm
$$\left\|\sum^{i=n}_{i=1} u_i \otimes \bar u_i\right\|\leqno (1)$$
of the operator $\sum u_i \otimes \bar u_i$ acting on the Hilbertian
tensor
product $H\otimes_2 \overline H$. The main result of this note is
Theorem 1. For any $n$-tuple $u_1,\ldots, u_n$ of unitary
operators in $B(H)$, we have
$$2\sqrt{n-1} \le \left\|\sum^n_1 u_i \otimes \bar u_i\right\|.\leqno
(6)$$
In other words, the right side of (6) is minimal exactly when $u_i =
\lambda(g_i)$.
File length:28K
<<<<<<<<<>>>>>>>>>>>
This is the abstract of the paper "Isometric classification of norms in
rearrangement-invariant function spaces" by Beata Randrianantoanina.
The paper is typed in AMSLaTeX. The paper may be downloaded from the
bulletin board by ftp to ftp.math.okstate.edu or transmitting the
commands
begin
send brandriisomcls.ltx
end
to: banach-files at math.okstate.edu.
Abstract:Suppose that a real nonatomic function space on $[0,1]$ is
equipped
with two re\-arran\-ge\-ment-invariant norms $\|\cdot\|$ and
$|||\cdot|||$. We
study the question whether or not the fact that $(X,\|\cdot\|)$ is
isometric
to $(X,|||\cdot|||)$ implies that $\|f\|= |||f|||$ for all $f$ in $X$.
We
show that in strictly monotone Orlicz and Lorentz spaces this is
equivalent to
asking whether or not the norms are defined by equal Orlicz functions,
resp.
Lorentz weights.
We show that the above implication holds true in most
rearrangement-invariant
spaces, but we also identify a class of Orlicz spaces where it fails.
We
provide a complete description of Orlicz functions $\varphi \neq\psi$
with the
property that $L_\varphi$ and $L_\psi$ are isometric.
File length:50K
From banach-request at math.okstate.edu Tue Dec 19 14:27:39 1995
To: banach-dist at math.okstate.edu
Subject: Abstract of a paper by S. Argyros, S. Merkourakis and A. Tsarpalias
Date: Tue, 19 Dec 95 14:18:30 CST
From: alspach at math.okstate.edu
Sender: alspach at math.okstate.edu
Content-Length: 722
Status: RO
X-Lines: 24
<<<<<<<<<DO NOT REPLY TO THIS MESSAGE OR MAIL TO
BANACH-DIST.>>>>>>>>>>>
This is the abstract of the paper "Convex unconditionality and
summability of weakly null sequences" by S. Argyros, S. Merkourakis
and A. Tsarpalias. The paper is typed in LaTeX. The paper may be
downloaded from the bulletin board by ftp to ftp.math.okstate.edu or
transmitting the commands
begin
send argyrosmerkourtsarpa.ltx
end
to: banach-files at math.okstate.edu.
Abstract:It is proved that every normalized weakly null \sq\ has a
sub\sq\
which is convexly unconditional. Further, an Hierarchy of
summability methods is introduced and with this we give a complete
classification of the complexity of weakly null \sq s.
File length:88K
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