This is an announcement for the paper "Differentiability of Lipschitz
maps from metric measure spaces to Banach spaces with the Radon Nikodym
property" by Jeff Cheeger and Bruce Kleiner.
Abstract: We prove the differentiability of Lipschitz maps X---->V, where
X is a complete metric measure space satisfying a doubling condition
and a Poincar\'e inequality, and V is a Banach space with the Radon
Nikodym Property (RNP). The proof depends on a new characterization of
the differentiable structure on such metric measure spaces, in terms of
directional derivatives in the direction of tangent vectors to suitable
rectifiable curves.
Archive classification: math.MG math.DG math.FA
Mathematics Subject Classification: 46B22 (primary), 46G05 (secondary)
The source file(s), pirnp.bbl: 3004 bytes
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0808.3249
or
http://arXiv.org/abs/0808.3249
or by email in unzipped form by transmitting an empty message with
subject line
uget 0808.3249
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get 0808.3249
to: math(a)arXiv.org.
This is an announcement for the paper "The Haar system in the preduals
of hyperfinite factors" by Denis Potapov and Fyodor Sukochev.
Abstract: We shall present examples of Schauder bases in the preduals
to the hyperfinite factors of types~$\hbox{II}_1$, $\hbox{II}_\infty$,
$\hbox{III}_\lambda$, $0 < \lambda \leq 1$. In the semifinite
(respectively, purely infinite) setting, these systems form Schauder
bases in any associated separable symmetric space of measurable operators
(respectively, in any non-commutative $L^p$-space).
Archive classification: math.FA
Remarks: 18 pages
The source file(s), haar_III_lambda.tex: 68404 bytes, is(are) stored in
gzipped form as 0808.2851.gz with size 20kb. The corresponding postcript
file has gzipped size 97kb.
Submitted from: denis.potapov(a)flinders.edu.au
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0808.2851
or
http://arXiv.org/abs/0808.2851
or by email in unzipped form by transmitting an empty message with
subject line
uget 0808.2851
or in gzipped form by using subject line
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to: math(a)arXiv.org.
This is an announcement for the paper "How much incomputable is the
separable Hahn-Banach theorem?" by Guido Gherardi and Alberto Marcone.
Abstract: We determine the computational complexity of the Hahn-Banach
Extension Theorem. To do so, we investigate some basic connections between
reverse mathematics and computable analysis. In particular, we use Weak
Konig's Lemma within the framework of computable analysis to classify
incomputable functions of low complexity. By defining the multi-valued
function Sep and a natural notion of reducibility for multi-valued
functions, we obtain a computational counterpart of the subsystem of
second order arithmetic WKL_0. We study analogies and differences between
WKL_0 and the class of Sep-computable multi-valued functions. Extending
work of Brattka, we show that a natural multi-valued function associated
with the Hahn-Banach Extension Theorem is Sep-complete.
Archive classification: math.LO math.FA
Mathematics Subject Classification: 03F60 (Primary) 03B30, 46A22, 46S30
(Secondary)
The source file(s), HahnBanach.tex: 106451 bytes, is(are) stored in
gzipped form as 0808.1663.gz with size 32kb. The corresponding postcript
file has gzipped size 149kb.
Submitted from: alberto.marcone(a)dimi.uniud.it
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0808.1663
or
http://arXiv.org/abs/0808.1663
or by email in unzipped form by transmitting an empty message with
subject line
uget 0808.1663
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to: math(a)arXiv.org.
This is an announcement for the paper "Compact multipliers on spaces of
analytic functions" by Pawel Mleczko.
Abstract: In the paper compact multiplier operators on Banach spaces
of analytic functions on the unit disk with the range in Banach
sequence lattices are studied. If the domain space $X$ is such
that $H_\infty\hookrightarrow X\hookrightarrow H_1$, necessary and
sufficient conditions for compactness are presented. Moreover, the
calculation of the Hausdorff measure of noncompactness for diagonal
operators between Banach sequence lattices is applied to obtaining the
characterization of compact multipliers in case the domain space $X$
satisfies $H_\infty\hookrightarrow X\hookrightarrow H_2$.
Archive classification: math.FA math.CV
Mathematics Subject Classification: 42B15, 42B30, 46E05, 7B10
The source file(s), comp-multi.tex: 26131 bytes, is(are) stored in
gzipped form as 0808.1359.gz with size 9kb. The corresponding postcript
file has gzipped size 82kb.
Submitted from: pml(a)amu.edu.pl
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0808.1359
or
http://arXiv.org/abs/0808.1359
or by email in unzipped form by transmitting an empty message with
subject line
uget 0808.1359
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1
0
PLEASE POST
by George A Anastassiou (ganastss)
01 Aug '08
01 Aug '08
PLEASE POST
"International Conference on Applied Mathematics and Approximation Theory 2008",
October 11-13,2008, University of Memphis, Memphis, TN, USA
(AMAT08).
Plenary Speakers:A.Aldroubi, J.Bona, S.Dragomir, N.Govil, W.Han, M.J.Lai, H.Mhaskar, R.Mohapatra, G. N'Guerekata, B.Shekhtman, A.Zayed.
Organizer:George Anastassiou, http://www.msci.memphis.edu/AMAT2008/
George A. Anastassiou,Ph.D
DOCTOR HONORIS CAUSA
Professor of Mathematics
Department of Mathematical Sciences
The University of Memphis,Memphis,TN 38152,USA
Editor-In-Chief JoCAAA, JCAAM,JAFA ;World Sci.Publ.Book Series:
Concrete & Applicable Math.
Springer Consultant-Editor in computational math books
Birkhauser Consultant Editor in A.M.Sci.
CRC-A.M. Advisor
NOVA MATH books ADVISOR
ganastss(a)memphis.edu<mailto:ganastss@memphis.edu>
http://www.eudoxuspress.comhttp://www.msci.memphis.edu/~ganastss/jocaaahttp://www.msci.memphis.edu/~ganastss/jcaamhttp://www.msci.memphis.edu/~ganastss/jafa
tel:(INT 001)- 901-678-3144 office
901-751-3553 home
901-678-2482 secr.
Fax: 901-678-2480
Associate Editor in:
J.Communications in Applied Analysis,
Inter.J.Applied Math.,Inter.J.Diff.Eq.&Appl.,CUBO,
J.Advances in non-linear Variational Inequalities,
e-J.of Inequalities in Pure and Applied Math.,
Anals U.Oradea-Fasciola Mathematica,
Journal of Inequalities and Applications,
Inter.J.of Pure&Appl.Math.,MIA,
Inter.J.of Computational and Numerical Analysis with Appl.
President of World Soc.for study & promotion of Ancient Greek Mathematics
Honorary Editor Australian Journal of Mathematical Analysis and Appl.
Panamerican Mathematical Journal
Eudoxus Press,LLC Pres.,ETC.
This is an announcement for the paper "Multilinear Holder-type
inequalities on Lorentz sequence spaces" by Daniel Carando, Veronica
Dimant and Pablo Sevilla-Peris.
Abstract: We establish H\"older type inequalities for Lorentz sequence
spaces and their duals. In order to achieve these and some related
inequalities, we study diagonal multilinear forms in general sequence
spaces, and obtain estimates for their norms. We also consider norms of
multilinear forms in different Banach multilinear ideals.
Archive classification: math.FA
Mathematics Subject Classification: 46A46, 46B45
The source file(s), CarandoDimantSevilla.tex: 59626 bytes, is(are)
stored in gzipped form as 0807.4392.gz with size 18kb. The corresponding
postcript file has gzipped size 122kb.
Submitted from: dcarando(a)dm.uba.ar
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0807.4392
or
http://arXiv.org/abs/0807.4392
or by email in unzipped form by transmitting an empty message with
subject line
uget 0807.4392
or in gzipped form by using subject line
get 0807.4392
to: math(a)arXiv.org.
This is an announcement for the paper "Biseparating maps between Lipschitz
function spaces" by Jesus Araujo and Luis Dubarbie.
Abstract: For complete metric spaces $X$ and $Y$, a description of linear
biseparating maps between spaces of vector-valued Lipschitz functions
defined on $X$ and $Y$ is provided. In particular it is proved that $X$
and $Y$ are bi-Lipschitz homeomorphic, and the automatic continuity of
such maps is derived in some cases. Besides, these results are used to
characterize the separating bijections between scalar-valued Lipschitz
function spaces when $Y$ is compact.
Archive classification: math.FA
Mathematics Subject Classification: Primary 47B38; Secondary 46E40,
46H40, 47B33
Remarks: 17 pages; no figures
The source file(s), lipschitz86.tex: 48992 bytes, is(are) stored in
gzipped form as 0807.3835.gz with size 14kb. The corresponding postcript
file has gzipped size 106kb.
Submitted from: araujoj(a)unican.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0807.3835
or
http://arXiv.org/abs/0807.3835
or by email in unzipped form by transmitting an empty message with
subject line
uget 0807.3835
or in gzipped form by using subject line
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to: math(a)arXiv.org.
PDF version http://www.math.okstate.edu/~alspach/banach/IRFASschedule08.pdf
SCHEDULE FOR SUMIRFAS 2008
The Informal Regional
Functional Analysis Seminar
August 8 - 10, 2008
Texas A&M University, College Station
Talks for SUMIRFAS will also be posted on the Workshop in Analysis and
Probability page:
http://www.math.tamu.edu/research/workshops/linanalysis/
All talks will be in Blocker 165. The Blocker Building is on Ireland St.
just south of University Dr. on the Texas A&M campus:
http://www.tamu.edu/map/building/overview/BLOC.html
Coffee and refreshments will be available in Blocker 155.
The usual SUMIRFAS dinner will be on August 9. It will be a BBQ at the home
of Jan and Bill Johnson.
Julien Giol giol(a)math.tamu.edu, David Kerr (chair) kerr(a)math.tamu.edu, and
Andrew Toms atoms(a)mathstat.yorku.ca are organizing a Concentration Week on
“Operator Algebras, Dynamics, and Classification” which will take
place August 4-8. For more information, go to
http://www.math.tamu.edu/kerr/concweek08.html.
We expect to be able to cover housing for most participants from support
the National Science Foundation has provided for the Workshop. Preference
will be given to participants who do not have other sources of support,
such as sponsored research grants. When you ask Cara to book your room,
please tell them if you are requesting support. Minorities, women,
graduate students, and young researchers are especially encouraged
to apply. For logistical support, please contact Cara Barton,
cara(a)math.tamu.edu. For more infor- mation on the Workshop itself,
please contact William Johnson, johnson(a)math.tamu.edu, David Larson,
larson(a)math.tamu.edu, Gilles Pisier, pisier(a)math.tamu.edu, or Joel Zinn,
jzinn(a)math.tamu.edu.
Schedule for SUMIRFAS 2008
Friday, August 8 Blocker 165
1:40–2:10 Coffee & refreshments, Blocker 155
2:10–2:20 Greeting
2:20–3:10 Marius Dadarlat, “Finite dimensional approximations of
amenable groups”
3:20–3:50 Constanze Liaw, “Singular integrals and rank one
perturbations”
3:50–4:15 Coffee & refreshments, Blocker 155
4:15–5:05 Chris Phillips, “Freeness of actions of finite groups on
C*-algebras”
Saturday, August 9 Blocker 165
9:00–9:30 Coffee & refreshments, Blocker 155
9:30–10:20 Nate Brown, “Hilbert modules and the Cuntz semigroup”
10:30–11:00 Detelin Dosev, “Commutators on certain Banach spaces”
11:10–11:50 Grigoris Paouris, ”Small ball probability estimates for
log-concave measures”
12:00–2:00 Lunch
2:00–3:00 Elisabeth Werner, “Orlicz functions and minima and maxima of
random variables”
3:10–3:50 Bunyamin Sari, “On uniform classification of the direct sums
of l_p -spaces”
3:50–4:10 Coffee & refreshments, Blocker 155
4:10–5:00 Timur Oikhberg, “The complexity of the complete isomorphism
relation between subspaces of an operator space”
6:30– BBQ at Jan & Bill Johnson’s house, 1306 Deacon Dr., College
Station, 979.696.2812
Please tell Cara, cara(a)math.tamu.edu, or Jaime,jaime(a)math.tamu.edu, if you (and spouse or companion, if applicable)
will attend.
Sunday, August 10 Blocker 165
9:30–10:00 Coffee & refreshments, Blocker 155
10:00–11:00 Bill Arveson, “Maximal vectors in Hilbert space and quantum
entanglement”
11:15–12:15 Ron DeVore, “A Taste of Compressed Sensing”