Banach

banach@mathdept.okstate.edu

2549 discussions

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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Abstract of a paper by Boaz Klartag and Roman Vershynin
by Dale Alspach 04 Oct '04

04 Oct '04

This is an announcement for the paper "Small ball probability and Dvoretzky theorem" by Bo'az Klartag and Roman Vershynin. Abstract: Large deviation estimates are by now a standard tool inthe Asymptotic Convex Geometry, contrary to small deviationresults. In this note we present a novel application of a smalldeviations inequality to a problem related to the diameters of random sections of high dimensional convex bodies. Our results imply an unexpected distinction between the lower and the upper inclusions in Dvoretzky Theorem. Archive classification: Functional Analysis; Probability Mathematics Subject Classification: 46B07; 60F10 The source file(s), diameters.tex: 30564 bytes, is(are) stored in gzipped form as 0410001.gz with size 10kb. The corresponding postcript file has gzipped size 49kb. Submitted from: vershynin(a)math.ucdavis.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0410001 or http://arXiv.org/abs/math.FA/0410001 or by email in unzipped form by transmitting an empty message with subject line uget 0410001 or in gzipped form by using subject line get 0410001 to: math(a)arXiv.org.

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announcement Winter School, Toulouse 2005
by ledoux＠math.ups-tlse.fr 27 Sep '04

27 Sep '04

Dear colleagues, would it be possible to announce on the Banach Bulletin Board the second announcement (below) of the Winter School on Probabilistic Methods in High Dimension Phenomena? Many thanks in advance for your help. Sincerely yours. M. Ledoux ----------------------------------------------------------------------------- Second Announcement of the Winter School on PROBABILISTIC METHODS IN HIGH DIMENSION PHENOMENA Toulouse, January 10-14, 2005 The school will provide young as well as expert scientists with the recent probabilistic tools developed for the investigation of high-dimensional systems. It is part of the European Network "Phenomena in High Dimension". It will be composed of the following five courses: I.Benjamini (Rehovot) ``Random walks and Percolation on graphs'' C.Borell (Goteborg) ``Minkowski sums in Gaussian analysis'' K.Johansson (Stockholm) ``Determinantal Processes in Random Matrix Theory'' G.Lugosi (Barcelona) ``Concentration of Functions of Independent Random Variables'' R.Schneider (Freiburg) ``Convexity in Stochastic Geometry'' It is now time for participants: * to registrate: we had some technical problems with the online registration engine. So we ask you to registrate (to REGISTRATE AGAIN if you already did it through the online form) by sending an email to our secretary Mrs Michel michel(a)lsp.ups-tlse.fr, specifying your NAME, your AFFILIATION, ADDRESS and DATES of attendance. * and to prepare their travel and accomodation plans: The expenses of the members of the PHD network are supported by their nodes (but it is likely that universities have to pay in advance and the RTN will reimburse when it is operating). We hope that we will have some money left to partially cover the expenses of participants not belonging to the network. Priority will be given to PHD Students and Post-Docs. If you need such support, please mention it in the registration email to Mrs Michel. More information is available on the conference Webpage http://www.lsp.ups-tlse.fr/Proba_Winter_School/ It has been updated and contains new pieces of information about * abstracts of the courses * accomodation: The list of hotels has been completed. Economical options have been added. In particular we have made a temporary reservation for a very limited number of rooms on the campus for 22 Euros per night. These rooms can be booked by sending an email to Mrs Michel (michel(a)lesp.ups-tlse.fr). Sincerely, F. Barthe M. Ledoux ------------------------------------------------------------------------------ Institut de Mathematiques - Universite Paul Sabatier - Toulouse III 118 route de Narbonne - 31062 Toulouse Cedex 4 - FRANCE. __________________________________________________________________________ Michel Ledoux ledoux(a)math.ups-tlse.fr Institut de Mathematiques Tel : (+33) 561 55 85 74 Universite de Toulouse Fax : (+33) 561 55 60 89 F-31062 Toulouse, France http://www.lsp.ups-tlse.fr/Ledoux/

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Abstract of a paper by Narcisse Randrianantoanina
by Dale Alspach 09 Sep '04

09 Sep '04

This is an announcement for the paper "A weak-type inequality for non-commutative martingales and applications" by Narcisse Randrianantoanina. Abstract: We prove a weak-type (1,1) inequality for square functions of non-commutative martingales that are simultaneously bounded in $L^2$ and $L^1$. More precisely, the following non-commutative analogue of a classical result of Burkholder holds: there exists an absolute constant $K>0$ such that if $\cal{M}$ is a semi-finite von Neumann algebra and $(\cal{M}_n)^{\infty}_{n=1}$ is an increasing filtration of von Neumann subalgebras of $\cal{M}$ then for any given martingale $x=(x_n)^{\infty}_{n=1}$ that is bounded in $L^2(\cal{M})\cap L^1(\cal{M})$, adapted to $(\cal{M}_n)^{\infty}_{n=1}$, there exist two \underline{martingale difference} sequences, $a=(a_n)_{n=1}^\infty$ and $b=(b_n)_{n=1}^\infty$, with $dx_n = a_n + b_n$ for every $n\geq 1$, \[ \left\| \left(\sum^\infty_{n=1} a_n^*a_n \right)^{{1}/{2}}\right\|_{2} + \left\| \left(\sum^\infty_{n=1} b_nb_n^*\right)^{1/2}\right\|_{2} \leq 2\left\| x \right\|_2, \] and \[ \left\| \left(\sum^\infty_{n=1} a_n^*a_n \right)^{{1}/{2}}\right\|_{1,\infty} + \left\| \left(\sum^\infty_{n=1} b_nb_n^*\right)^{1/2}\right\|_{1,\infty} \leq K\left\| x \right\|_1. \] As an application, we obtain the optimal orders of growth for the constants involved in the Pisier-Xu non-commutative analogue of the classical Burkholder-Gundy inequalities. Archive classification: Functional Analysis; Operator Algebras Mathematics Subject Classification: 46L53, 46L52 Remarks: 38 pages The source file(s), weaktype4.tex: 108231 bytes, is(are) stored in gzipped form as 0409139.gz with size 30kb. The corresponding postcript file has gzipped size 137kb. Submitted from: randrin(a)muohio.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0409139 or http://arXiv.org/abs/math.FA/0409139 or by email in unzipped form by transmitting an empty message with subject line uget 0409139 or in gzipped form by using subject line get 0409139 to: math(a)arXiv.org.

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Abstract of a paper by Steven F. Bellenot
by Dale Alspach 03 Aug '04

03 Aug '04

This is an announcement for the paper "Skipped blocking and other decompositions in Banach spaces" by Steven F. Bellenot. Abstract: Necessary and sufficient conditions are given for when a sequence of finite dimensional subspaces (X_n) can be blocked to be a skipped blocking decompositon (SBD). The condition is order independent, so permutations of conditional basis, for example can be so blocked. This condition is implied if (X_n) is shrinking, or (X_n) is a permutation of a FDD, or if X is reflexive and (X_n) is separating. A separable space X has PCP, if and only if, every norming decomposition (X_n) can be blocked to be a boundedly complete SBD. Every boundedly complete SBD is a JT-decomposition. Archive classification: Functional Analysis Mathematics Subject Classification: 46B20 (Primary); 46B15, 46B22 (Secondary) Report Number: FSU04-11 Remarks: 11 pages, 0 figures The source file(s), skipB.tex: 42550 bytes, is(are) stored in gzipped form as 0408004.gz with size 13kb. The corresponding postcript file has gzipped size 65kb. Submitted from: bellenot(a)math.fsu.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0408004 or http://arXiv.org/abs/math.FA/0408004 or by email in unzipped form by transmitting an empty message with subject line uget 0408004 or in gzipped form by using subject line get 0408004 to: math(a)arXiv.org.

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