October 2004 - Banach - mathdept.okstate.edu

Abstract of a paper by V.Yaskin
by Dale Alspach 27 Oct '04

27 Oct '04

This is an announcement for the paper "The Busemann-Petty problem in hyperbolic and spherical spaces" by V.Yaskin. Abstract: The Busemann-Petty problem asks whether origin-symmetric convex bodies in $\mathbb{R}^n$ with smaller central hyperplane sections necessarily have smaller $n$-dimensional volume. It is known that the answer to this problem is affirmative if $n\le 4$ and negative if $n\ge 5$. We study this problem in hyperbolic and spherical spaces. Archive classification: Functional Analysis Mathematics Subject Classification: 52Axx Remarks: 16 pages, 2 figures The source file(s), HyperbolicBP.tex: 38485 bytes, pic02.eps: 9386 bytes, picForVlad2.eps: 3824 bytes, is(are) stored in gzipped form as 0410501.tar.gz with size 15kb. The corresponding postcript file has gzipped size 68kb. Submitted from: yaskinv(a)math.missouri.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0410501 or http://arXiv.org/abs/math.FA/0410501 or by email in unzipped form by transmitting an empty message with subject line uget 0410501 or in gzipped form by using subject line get 0410501 to: math(a)arXiv.org.

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Abstract of a paper by A.Koldobsky, V.Yaskin and M.Yaskina
by Dale Alspach 27 Oct '04

27 Oct '04

This is an announcement for the paper "Modified Busemann-Petty problem on sections of convex bodies" by A.Koldobsky, V.Yaskin and M.Yaskina. Abstract: The Busemann-Petty problem asks whether origin-symmetric convex bodies in $\mathbb{R}^n$ with smaller central hyperplane sections necessarily have smaller $n$-dimensional volume. It is known that the answer is affirmative if $n\le 4$ and negative if $n\ge 5$. In this article we modify the assumptions of the original Busemann-Petty problem to guarantee the affirmative answer in all dimensions. Archive classification: Functional Analysis Mathematics Subject Classification: 52Axx Remarks: 17 pages The source file(s), modBP.tex: 33931 bytes, is(are) stored in gzipped form as 0410496.gz with size 10kb. The corresponding postcript file has gzipped size 64kb. Submitted from: yaskinv(a)math.missouri.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0410496 or http://arXiv.org/abs/math.FA/0410496 or by email in unzipped form by transmitting an empty message with subject line uget 0410496 or in gzipped form by using subject line get 0410496 to: math(a)arXiv.org.

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Abstract of a paper by W. B. Johnson and N. L. Randrianarivony
by Dale Alspach 20 Oct '04

20 Oct '04

This is an announcement for the paper "$\ell_p$ (p>2) does not coarsely embed into a Hilbert space" by W. B. Johnson and N. L. Randrianarivony. Abstract: A coarse embedding of a metric space X into a metric space Y is a map f: X-->Y satisfying for every x, y in X: \phi_1(d(x,y)) \leq d(f(x),f(y)) \leq \phi_2(d(x,y)) where \phi_1 and \phi_2 are nondecreasing functions on [0,\infty) with values in [0,\infty), with the condition that \phi_1(t) tends to \infty as t tends to \infty. We show that \ell_p does not coarsely embed in a Hilbert space for 2<p<\infty. Archive classification: Functional Analysis Remarks: 10 pages The source file(s), coarselpl2.9.tex: 14916 bytes, is(are) stored in gzipped form as 0410427.gz with size 5kb. The corresponding postcript file has gzipped size 36kb. Submitted from: nirina(a)math.tamu.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0410427 or http://arXiv.org/abs/math.FA/0410427 or by email in unzipped form by transmitting an empty message with subject line uget 0410427 or in gzipped form by using subject line get 0410427 to: math(a)arXiv.org.

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Abstract of a paper by Assaf Naor, Yuval Peres, Oded Schramm and Scott Sheffield
by Dale Alspach 20 Oct '04

20 Oct '04

This is an announcement for the paper "Markov chains in smooth Banach spaces and Gromov hyperbolic metric spaces" by Assaf Naor, Yuval Peres, Oded Schramm and Scott Sheffield. Abstract: A metric space $X$ has {\em Markov type\/} $2$, if for any reversible finite-state Markov chain $\{Z_t\}$ (with $Z_0$ chosen according to the stationary distribution) and any map $f$ from the state space to $X$, the distance $D_t$ from $f(Z_0)$ to $f(Z_t)$ satisfies $\E(D_t^2) \le K^2\, t\, \E(D_1^2)$ for some $K=K(X)<\infty$. This notion is due to K.\,Ball (1992), who showed its importance for the Lipschitz extension problem. However until now, only Hilbert space (and its bi-Lipschitz equivalents) were known to have Markov type 2. We show that every Banach space with modulus of smoothness of power type $2$ (in particular, $L_p$ for $p>2$) has Markov type $2$; this proves a conjecture of Ball. We also show that trees, hyperbolic groups and simply connected Riemannian manifolds of pinched negative curvature have Markov type $2$. Our results are applied to settle several conjectures on Lipschitz extensions and embeddings. In particular, we answer a question posed by Johnson and Lindenstrauss in 1982, by showing that for $1<q<2<p<\infty$, any Lipschitz mapping from a subset of $L_p$ to $L_q$ has a Lipschitz extension defined on all of $L_p$. Archive classification: Functional Analysis; Probability Mathematics Subject Classification: 46B99 (primary), 60B99 (secondary) Remarks: 27 pages The source file(s), Mtype.tex: 95789 bytes, lang.fig: 18215 bytes, lang.pstex: 17247 bytes, lang.pstex_t: 859 bytes, is(are) stored in gzipped form as 0410422.tar.gz with size 38kb. The corresponding postcript file has gzipped size 129kb. Submitted from: anaor(a)microsoft.com The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0410422 or http://arXiv.org/abs/math.FA/0410422 or by email in unzipped form by transmitting an empty message with subject line uget 0410422 or in gzipped form by using subject line get 0410422 to: math(a)arXiv.org.

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Abstract of a paper by Wojciech Czaja
by Dale Alspach 20 Oct '04

20 Oct '04

This is an announcement for the paper "Remarks on Naimark's duality" by Wojciech Czaja. Abstract: We present an extension of Naimark's duality principle which states that complete systems in a Hilbert space are projections of $\omega$-linearly independent systems of elements of an ambient Hilbert space. This result is presented in the context of other known extensions of Naimark's theorem. Archive classification: Functional Analysis Mathematics Subject Classification: 42C40 The source file(s), rnd_4.tex: 15949 bytes, is(are) stored in gzipped form as 0410348.gz with size 5kb. The corresponding postcript file has gzipped size 36kb. Submitted from: czaja(a)math.uni.wroc.pl The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0410348 or http://arXiv.org/abs/math.FA/0410348 or by email in unzipped form by transmitting an empty message with subject line uget 0410348 or in gzipped form by using subject line get 0410348 to: math(a)arXiv.org.

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Abstract of a paper by Jesus M. F. Castillo and Yolanda Moreno
by Dale Alspach 12 Oct '04

12 Oct '04

This is an announcement for the paper "Extensions by spaces of continuous functions" by Jesus M. F. Castillo and Yolanda Moreno. Abstract: We characterize the Banach spaces X such that Ext(X, C(K))=0 for every compact space. Archive classification: Functional Analysis Mathematics Subject Classification: 46B03; 46B07 Remarks: 9 pages The source file(s), ECK.tex: 28947 bytes, is(are) stored in gzipped form as 0410256.gz with size 10kb. The corresponding postcript file has gzipped size 48kb. Submitted from: castillo(a)unex.es The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0410256 or http://arXiv.org/abs/math.FA/0410256 or by email in unzipped form by transmitting an empty message with subject line uget 0410256 or in gzipped form by using subject line get 0410256 to: math(a)arXiv.org.

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Abstract of a paper by Marius Junge and Magdalena Musat
by Dale Alspach 12 Oct '04

12 Oct '04

This is an announcement for the paper "A noncommutative version of the John-Nirenberg theorem" by Marius Junge and Magdalena Musat. Abstract: We prove a noncommutative version of the John-Nirenberg theorem for nontracial filtrations of von Neumann algebras. As an application, we obtain an analogue of the classical large deviation inequality for elements of the associated $BMO$ space. Archive classification: Functional Analysis; Operator Algebras Remarks: 35 pages The source file(s), jnir3.tex: 96625 bytes, is(are) stored in gzipped form as 0410121.gz with size 29kb. The corresponding postcript file has gzipped size 134kb. Submitted from: mmusat(a)math.ucsd.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0410121 or http://arXiv.org/abs/math.FA/0410121 or by email in unzipped form by transmitting an empty message with subject line uget 0410121 or in gzipped form by using subject line get 0410121 to: math(a)arXiv.org.

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JAFA
by George Anastassiou 07 Oct '04

07 Oct '04

CALL FOR HIGH QUALITY PAPERS NEW JOURNAL OF APPLIED FUNCTIONAL ANALYSIS(JAFA) A quarterly International publication of NOVA Publishing Corporation of NY,USA. Editor in Chief:George Anastassiou Department of Mathematical Sciences The University of Memphis Memphis,TN 38152,USA E mail: ganastss(a)memphis.edu http://www.msci.memphis.edu/~anastasg/jafa/jafa.htm Managing Editor: Carlo Bardaro (FOR ALL SUBMISSIONS) Dipartimento di Matematica e Informatica Universita di Perugia Via Vanvitelli 1 06123 Perugia ITALY Tel.+390755853822 +390755855034 Fax +390755855024 E mail: bardaro(a)unipg.it The main purpose of the Journal of Applied Functional Analysis(JAFA) is to publish high quality original research articles,survey articles and book reviews from all subareas of Applied Functional Analysis in the broadest form plus from its applications and its connections to other topics of Mathematical Sciences.A sample list of connected mathematical areas with this publication includes but is not restricted to: Approximation Theory,Inequalities,Probability in Analysis,Wavelet Theory,Neural Networks,Fractional Analysis,Applied Functional Analysis and Applications,Signal Theory,Computational Real and Complex Analysis and Measure Theory,Sampling Theory,Semigroups of Operators,Positive Operators,ODEs,PDEs,Difference Equations, Rearrengements,Numerical Functional Analysis,Integral Equations,Optimization Theory of all kinds,Operator Theory,Control Theory,Banach Spaces,Evolution Equations, Information Theory,Numerical Analysis,Stochastics,Applied Fourier Analysis,Matrix Theory,Mathematical Physics,Mathematical Geophysics,Fluid Dynamics,Quantum Theory,Interpolation in all forms,Computer Aided Geometric Design,Algorithms, Fuzzyness,Learning Theory,Splines,Mathematical Biology,Nonlinear Functional Analysis,Variational Inequalities,Nonlinear Ergodic Theory,Functional Equations, Function Spaces,Harmonic Analysis,Extrapolation Theory,Fourier Analysis,Inverse Problems,Operator Equations,Image Processing,Nonlinear Operators,Stochastic Processes,Mathematical Finance and Economics,Special Functions,Quadrature, Orthogonal Polynomials,Asymptotics,Symbolic and Umbral Calculus,Integral and Discrete Transforms, Chaos and Bifurcation,Nonlinear Dynamics,Solid Machanics,Functional Calculus, Chebyshev Systems.Also are included combinations of the above topics. Working with Applied Functional Analysis Methods has become a main trend in many recent years,so we can understand better and deeper and solve important problems of our real and scientific world. JAFA is a peer-reviewed International Quartely Journal published by NOVA SCIENCE Publ.Co. of NY -USA. We are calling for high quality papers for possible publication.The contributor should send four copies of the contribution to the MANAGING EDITOR in TEX,LATEX double spaced.They should be sent ONLY REGULAR MAIL,NOT REGISTERED MAIL,NO E-MAIL SUBMISSIONS[See:Instructions to Contributors in http://www.msci.memphis.edu/~anastasg/jafa/scope.htm .] HONORARY EDITOR:P.L.Butzer (Aachen,Germany) ASSOCIATE EDITORS:F.Altomare(Bari,Italy),A.Alvino(Napoli,Italy),I.Argyros (Cameron.U,USA),C.Badea(U.Lille,France),E.Balder(Utrecht,Holland),H.Begehr (Berlin,Germany),F.Bombal(Madrid,Spain),M.Campiti(Lecce,Italy),D.Candeloro (Perugia,Italy),P.Cerone(Melbourne,Australia),M.Dodson(York,UK),S.Dragomir (Melbourne,Australia),P.Ferreira(Aveiro,Portugal),G.Goldstein(Memphis,USA), J.Goldstein(Memphis,USA),H.Gonska(Duisburg,Germany),K.Groechenig(GSF- Neuherberg,Germany),T.X.He(Bloomington,USA),D.Hong(E.Tennesse St. U,USA),H.Jongen(Aachen,Germany),N.Karayannis(Houston,USA),T.Kilgore(Auburn,USA),J.K.Kim(Masan Kyungnam,Korea),M.Krbec(Praha,Czech Republic),P.Maass (Bremen,Germany),J.Musielak(Poznan,Poland),P.Papini(Bologna,Italy), S.Rachev(Karlsruhe,Germany and UC Santa Barbara,USA),P.Ricci(Rome,Italy), S.Romanelli(Bari,Italy),B.Shekhtman(Tampa,USA),P.Siafaricas(Patras,Greece), R.Stens(Aachen,Germany),J.Trujillo(Tenerife,Spain), T.Vashakmadze(Tbilisi,Georgia),R.Verma(Toledo,USA),G.Vinti(Perugia,Italy), U.Westphal(Hannover,Germany),R.Yager(Iona College,NY),R.Zalik(Auburn,USA). -- George A. Anastassiou,Ph.D Professor of Mathematics Department of Mathematical Sciences The University of Memphis,Memphis,TN 38152,USA Editor-In-Chief JoCAAA, JCAAM ;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 anastasg(a)msci.memphis.edu ganastss(a)memphis.edu http://www.msci.memphis.edu/~anastasg/anlyjour.htm http://www.msci.memphis.edu/~anastasg/jcaam/jcaam.htm http://www.msci.memphis.edu/~anastasg/jafa/jafa.htm tel:(INT 001)- 901-678-3144 office 901-751-3553 home 901-678-2482 secr. Fax: 901-678-2480

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openings at AUI
by F.Chaatit＠alakhawayn.ma 05 Oct '04

05 Oct '04

The School of Science and Engineering at AlAkhawayn University in Ifrane has openings for faculty positions in Computer Science and in Mathematics for Spring and Fall 2005. Mathematics applicants would be expected to teach mainly engineering mathematics courses within the undergraduate program. All undergraduate engineering students take core courses and a minor in mathematics consisting of 6 courses covering Discrete Mathematics, Calculus, Linear Algebra, Differential Equations and Probability. Mathematics courses are taught with an emphasis toward engineering applications. Successful candidates are expected to perform some combination of teaching at undergraduate and/or graduate levels, applied research, and supervision of undergraduate/graduate student projects. The normal teaching expectation in the school is nine hours per week during regular Fall and Spring semesters, as well as summers when needed. We have a small class size, with an average between 25 and 30, and a maximum of 40 per section. Rank and salary is commensurate with qualifications and experience. Salary offers are determined based on a standard grid linked to rank, with a number of additional allowances possible. The very low cost of living in our area means that monetary amounts are low compared to other locations, although relatively we are competitive. Benefits offered include a housing allowance and inclusion in the comprehensive Moroccan health insurance program. Interested candidates are encouraged to send letter of application, vita, and references by email to vpaa(a)alakhawayn.ma, or by post to: Vice President for Academic Affairs Al Akhawayn University in Ifrane PO. Box 104 Ifrane 53000 Morocco

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Positions at Case
by Dale Alspach 04 Oct '04

04 Oct '04

(This announcement, with additional active hyperlinks, is also accessible via http://www.case.edu/artsci/dean/searches/ ) The Department of Mathematics in the College of Arts and Sciences at Case Western Reserve University in Cleveland, Ohio, invites applications for one or more tenure-track appointments. Open rank, but appointment at the rank of assistant professor is strongly preferred. We especially emphasize coordination with Department, College and University goals, including undergraduate teaching in the University's new SAGES (Seminar Approach to General Education and Scholarship) program. Areas of preference identified to complement existing department activities include: (1) Functional analysis, convexity theory, and related high-dimensional phenomena, the area that recently has been often referred to as "asymptotic geometric analysis" and of which members of the Department are internationally recognized leaders. See http://www.cwru.edu/artsci/math/szarek/ and http://www.cwru.edu/artsci/math/werner/ for examples of recent research directions. Besides hires that would directly augment this research, the Department envisions expanding into related areas of non-commutative geometry/functional analysis or even theoretical computer science or complexity theory. (2) Numerical analysis with concomitant scientific computing, especially numerical differential equations and applications and numerical optimization. The department has activity both in theoretical and applied numerical analysis. Recent research has involved numerical methods for inverse problems, structured eigenvalue computations, iterative methods for linear systems. The Department's faculty in this area have active collaborations with researchers in other units at the University, including medical and engineering, and in the greater Cleveland area. The successful candidate will be primarily a mathematician, but will be interested in cross-disciplinary opportunities. (3) Mathematical biology. Case is a major center of biological and medical research, and synergetic activities are expected. In conjunction with ongoing initiatives in the Department of Biology, the School of Medicine and the School of Engineering, the Department of Mathematics seeks to develop its research activities in mathematical biology. Some current faculty have existing collaborations with members of the School of Medicine, and some graduate students are supported, via these collaborations, by the School of Medicine. A faculty member is a PI on a multi-year NIH-funded Center for Modeling Integrated Metabolic Systems (MIMS), centered in the Department of Biomedical Engineering. The Department of Biology has recently hired a theoretical ecologist and more coordination between the departments in the area of computational biology is expected. The successful candidate will be primarily a mathematician, but will be interested in cross-disciplinary opportunities. Notwithstanding the above, (4) exceptionally strong candidates in other areas will be considered. Depending on needs, (5) visiting positions/instructorships/lectureships may also be open. Indicate in which area you wish to be considered. The successful candidate will hold the Ph.D. or equivalent (Masters for lectureship) and have, relative to career stage, a distinguished record of publication, research, service, and teaching. Compensation commensurate with qualifications. Case is an integral part of one of the major research medical complexes in the country. It also has a major presence in various science and engineering disciplines. Geographically, it is located on the eastern edge of Cleveland, in northeast Ohio, adjacent to University Circle, home to the Cleveland Symphony Orchestra, the Cleveland Museum of Art, and many other cultural institutions. There is a wide variety of housing, schooling, and other amenities nearby. The Department has approximately 20 faculty, with several focused research areas. The Department is responsible for service (beginning with calculus), majors, and graduate instruction. Nominal teaching load is 2/2. The Department has a dedicated 8 CPU computational server with an SGI 3D graphics front end. Facilities of the Ohio Supercomputer Center are also available. Electronic applications only, to: James Alexander, math-faculty-position(a)case.edu, consisting of a letter of application, which indicates in which area of preference you wish to be considered, AMS cover sheet, a c.v., and the names and contact information for four referees to whom we may write. Evaluation of applications will begin December 15, 2004. Case is a recipient of a National Science Foundation ADVANCE institutional transformation grant to increase the participation of women in science and engineering. Case Western Reserve University is committed to diversity and is an affirmative action, equal opportunity employer. Applications from women or minorities are especially encouraged.

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