Banach May 2004

banach@mathdept.okstate.edu

3 participants
8 discussions

Abstract of a paper by Gilles Lancien and Beata Randrianantoanina
by Dale Alspach 31 May '04

31 May '04

This is an announcement for the paper "On the extension of H\"{o}lder maps with values in spaces of continuous functions" by Gilles Lancien and Beata Randrianantoanina. Abstract: We study the isometric extension problem for H\"{o}lder maps from subsets of any Banach space into $c_0$ or into a space of continuous functions. For a Banach space $X$, we prove that any $\alpha$-H\"{o}lder map, with $0<\alpha\leq 1$, from a subset of $X$ into $c_0$ can be isometrically extended to $X$ if and only if $X$ is finite dimensional. For a finite dimensional normed space $X$ and for a compact metric space $K$, we prove that the set of $\alpha$'s for which all $\alpha$-H\"{o}lder maps from a subset of $X$ into $C(K)$ can be extended isometrically is either $(0,1]$ or $(0,1)$ and we give examples of both occurrences. We also prove that for any metric space $X$, the described above set of $\al$'s does not depend on $K$, but only on finiteness of $K$. Archive classification: Functional Analysis Mathematics Subject Classification: 46B20 (46T99, 54C20, 54E35) Remarks: 16 pages The source file(s), lancien-randrian.tex: 42206 bytes, is(are) stored in gzipped form as 0405565.gz with size 13kb. The corresponding postcript file has gzipped size 69kb. Submitted from: randrib(a)muohio.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0405565 or http://arXiv.org/abs/math.FA/0405565 or by email in unzipped form by transmitting an empty message with subject line uget 0405565 or in gzipped form by using subject line get 0405565 to: math(a)arXiv.org.

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Winter School, Toulouse 2005
by Dale Alspach 24 May '04

24 May '04

*********************************************************** FIRST 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 project of 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'' The conference Webpage is at http://www.lsp.ups-tlse.fr/Proba_Winter_School/. It contains more information as well as the registration material. Do not hesitate to print the conference poster (http://www.lsp.ups-tlse.fr/Proba_Winter_School/poster.pdf) and to post it in your lab! *********************************************************************** __________________________________________________________________________ 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 Mark W. Meckes
by Dale Alspach 21 May '04

21 May '04

This is an announcement for the paper "Some remarks on transportation inequalities and the slicing problem" by Mark W. Meckes. Abstract: We show that transportation cost inequalities can be used to derive bounds for isotropic constants of convex bodies. We state a conjecture about transportation costs (and discuss support for it) which would have strong consequences for the slicing problem. Archive classification: Metric Geometry; Functional Analysis Mathematics Subject Classification: 52A20; 60E15 Remarks: AMSLaTeX The source file(s), transport.tex: 21567 bytes, is(are) stored in gzipped form as 0405376.gz with size 7kb. The corresponding postcript file has gzipped size 47kb. Submitted from: mark(a)math.stanford.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.MG/0405376 or http://arXiv.org/abs/math.MG/0405376 or by email in unzipped form by transmitting an empty message with subject line uget 0405376 or in gzipped form by using subject line get 0405376 to: math(a)arXiv.org.

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JOURNAL OF APPLIED FUNCTIONAL ANALYSIS(JAFA)
by Dale Alspach 17 May '04

17 May '04

CALL FOR HIGH QUALITY PAPERS 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, Rearrangements, 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.Ferriera (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.Karayiannis (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.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. Kluwer/Plenum 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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Abstract of a paper by Piotr Pucha{\l}a
by Dale Alspach 13 May '04

13 May '04

This is an announcement for the paper "Continuous version of the Choquet integral reperesentation theorem" by Piotr Pucha{\l}a. Abstract: The Choquet - Bishop - de Leeuw theorem states that each element of a compact convex subset of a locally convex topological Hausdorff space is a barycenter of a probability measure supported by the set of extreme points of that set. By the Edgar - Mankiewicz result this remains true for nonempty closed bounded and convex set provided it has Radon - Nikodym property. In the paper it is shown, that Choquet - type theorem holds also for "moving" sets: they are values of a certain multifunction. Namely, the existence of a suitable weak* continuous family of probability measures "almost representing" points of such sets is proven. Both compact and noncompact cases are considered. The continuous versions of the Krein - Milman theorem are obtained as corollaries. Archive classification: Functional Analysis Mathematics Subject Classification: 54C60; 54C65; 46A55; 46B22 Remarks: 8 pages The source file(s), choquetpreprint.tex: 29699 bytes, is(are) stored in gzipped form as 0405217.gz with size 10kb. The corresponding postcript file has gzipped size 48kb. Submitted from: ppuchala(a)imi.pcz.pl The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0405217 or http://arXiv.org/abs/math.FA/0405217 or by email in unzipped form by transmitting an empty message with subject line uget 0405217 or in gzipped form by using subject line get 0405217 to: math(a)arXiv.org.

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Abstract of a paper by Tomonari Suzuki
by Dale Alspach 11 May '04

11 May '04

This is an announcement for the paper "Fixed point theorems for asymptotically contractive mappings" by Tomonari Suzuki. Abstract: In this short paper, we prove fixed point theorems for nonexpansive mappings whose domains are unbounded subsets of Banach spaces. These theorems are generalizations of Penot's result in [Proc. Amer. Math. Soc., 131 (2003), 2371--2377]. Archive classification: Functional Analysis Mathematics Subject Classification: 47H09 Remarks: 7 pages The source file(s), suzuki.tex: 18631 bytes, is(are) stored in gzipped form as 0405163.gz with size 5kb. The corresponding postcript file has gzipped size 38kb. Submitted from: suzuki-t(a)mns.kyutech.ac.jp The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0405163 or http://arXiv.org/abs/math.FA/0405163 or by email in unzipped form by transmitting an empty message with subject line uget 0405163 or in gzipped form by using subject line get 0405163 to: math(a)arXiv.org.

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V Conference on Banach Spaces (2nd announcement)
by fcabello＠unex.es 04 May '04

04 May '04

Dear Colleagues, this is the second, and last, announcement for the V Conference on Banach Spaces to be held in Caceres during the week 13-17 September 2004. Most of the available information can be found at the web-site http://matematicas.unex.es/conference/banach which will be periodically updated. Caceres is beautiful town at the north of Extremadura. It is well connected with Madrid by bus or train; the distance is about 300Km. The Old Town of Caceres is part of the World Heritage, and anyone interested can get a virtual tour at the address http://www.iespana.es/paseovirtual/patrimonio1.htm The Scientific Committee of the V Conference is formed by Fernando Bombal, Universidad Complutense de Madrid; Maria Jesus Carro, Universidad de Barcelona; Jesus M.F. Castillo, Universidad de Extremadura; Manuel Gonzalez, Universidad de Cantabria; William B. Johnson, Texas A&M University; Robert Phelps, University of Washington and Angel Rodriguez Palacios, Universidad de Granada. The main topics of the Conference are: Geometrical methods in Banach spaces: renormings, convexity, isometric properties, Hilbert spaces, orthogonality, local theory... Homological methods: exact sequences and twisted sums, derived functors, categorical properties of Banach spaces, Tensor products, Ultraproducts, abstract interpolation... Topological methods: cardinality and set-theoretic properties, Lipschitz, uniform ... structures in Banach spaces, topological vector spaces... Operator theory: operator ideals, semigroups of operators, spectral theory, interpolation, operator spaces and C*-algebras... Function spaces: infinite dimensional holomorphy, continuous functions on Banach spaces, Banach, Fréchet .. spaces of continuous functions, lattices... The following mathematicians have accepted to participate delivering invited lectures: S. Argyros, Athens, Greece F. Cobos, Madrid, Spain P. Domanski, Poznan, Poland M. Girardi, St.Louis, USA G. Godefroy, Paris, France N. J. Kalton, Missouri, USA W. B. Johnson, Texas A&M, USA A. Molto, Valencia, Spain J. P. Moreno, Madrid, Spain P. L. Papini, Bologna, Italy A. Pelczynski, Warszawa, Poland R. Phelps, Washington, USA H. O. Tylli, Helsinki, Finland L. Weis, Karlsruhe, Germany J. Wengenroth, Trier, Germany. There will be sections devoted to shorter talks and communications. The abstract submission form can be found at the home page. There is a fee of 150 euros and the possibility of a combined offer: fee + accommodation at the Residencia Munoz Torrero, which includes breakfast and meal, by 300 euros. Again, the details about methods of payment and the different options can be found at the home page. The Organization is negotiating the publication of the Proceedings volume with some international publishers. Please take notice the following deadlines: * Deadline for submission of abstract: 15 June 2004 * Deadline for reduced rate registration: 15 June 2004 For any further information you may need, do not hesitate to contact any member of the organization: Felix Cabello (fcabello(a)unex.es), Jesus M. F. Castillo (castillo(a)unex.es), Ricardo Garcia (rgarcia(a)unex.es) or send a mail to the address banach(a)unex.es There is a limited number of grants available. Applications can be sent with just a message to the previous address. The Conference is sponsored by: Departamento de Matematicas de la Universidad de Extremadura Diputacion de Caceres Junta de Extremadura Ministerio de Ciencia y Tecnologia Real Sociedad Matematica Española. We hope to meet you at Caceres On behalf of the Organization, Jesus M. F. Castillo, Departamento de Matematicas Universidad de Extremadura castillo(a)unex.es phone number: +34924289563 fax number: +34924272911

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Conference in Granada (resend with corrections)
by Dale Alspach 03 May '04

03 May '04

Next September, from the 20th to the 24th, the SECOND INTERNATIONAL COURSE OF MATHEMATICAL ANALYSIS IN ANDALUCIA will be held in Granada (Spain). These courses are held every two years in some Andalusian city, with the first being in Cadiz, in September 2002. Our aim is to give an extensive overview of new directions and advances in Mathematical Analysis. Therefore the researcher is invited to get into topics seem promising as guidelines for current and future research in this interesting area of Mathematics. Leading researchers in the field will provide us with a nice variety of topics and open problems, showing also some tools and techniques that have been helpful in similar situations. To this goal, we offer both seminars and one-hour talks. While the one-hour talk are intended to provide an overview on a variety of current topics, the seminars will extend over several days and will therefore allow an in-depth discussion of certain specific subjects. Moreover, all participants of the meeting will have the opportunity to present new results of their research in short communications. The invited speakers of this Second Course are the following: - Richard M. Aron (Kent State University, USA) - Fernando Bombal (Universidad Complutense de Madrid, Spain) - Jose Bonet (Universidad Politecnica de Valencia, Spain). - Javier Duoandikoetxea (Universidad del Pais Vasco, Spain) - Miguel de Guzman (Universidad Complutense de Madrid, Spain) (*) - Gilles Godefroy (University Paris VI , France ) - William B. Johnson (Texas A&M University, USA) - Nigel J. Kalton (University of Missouri, USA) - Michael Neumann (Mississippi State University, USA) - Lawrence Narici (St. John's University, New York, USA) - Kristian Seip (Norwegian Univ. of Sciences and Technology, Norway) - Manuel Valdivia (Universidad de Valencia, Spain) - Joan Verdera (Universitat Autonoma de Barcelona, Spain) - Felipe Zo (Universidad Nacional de San Luis, Argentina) (*) We are very sorry to announce the death of Professor Miguel de Guzman (1936-2004), which occurred on April 14, 2004. Professor Guzman held a Chair in Mathematical Analysis at the Universidad Complutense de Madrid and was a member of the Royal Academy of Sciences. We had looked forward very much to his participation, as a principal speaker at our meeting. His guidance, leadership, and wisdom will be very much missed. The registration fee is 50 euros for students and 100 euros for all others, provided this fee is paid before July 15th. After July 15, 2004, the fee will be 100 euros for students and 120 euros others. A gala dinner is included in this expense. To formalize the registration process, participants need to complete the inscription form and also to pay the inscription fee. The electronic version of the inscription form is available in our web page: http://www.ugr.es/local/amandal where one can register on-line. To do it other way, please contact us. Lodging is arranged by our Technical Secretary (Eurocongres S.A.) We have rooms in Students Residence Halls at 20 euros per single room per night (subsidized fee) and four-star hotels at 60.10 euros per room per night (which is a special price for our University), with breakfast included. Both the Student Residence Halls and affiliated hotels are located within walking distance to the meeting centre (Faculty of Science of the University of Granada). We would like to advise you that despite the fact that Granada has many hotels, the number of rooms we can offer you to this special price is very limited. We therefore strongly suggest that you make your reservation as soon as possible, especially since September is still high season in Granada. Student Residence and hotel rooms will be assigned by strict reservation order and, after that, we cannot guarantee these prices. The scientific program will be complemented by some of the typical attractions of Granada and its surroundings (of course, a visit to the Alhambra is included!). These leisure activities will encourage links of friendship that are so important for every professional group. The Organizing Committee invites you to participate in this meeting with the best wishes that you have a happy and fruitful stay here, in Granada. Yours sincerely, Victoria Velasco (Coordinator) Dpto. de Analisis Matematico Facultad de Ciencias Universidad de Granada 18071-Granada (Spain) e-mail: amandal(a)ugr.es Organizing/Scientific Committee: - U. of Granada: Juan F. Mena, Rafael Paya, Angel Rodriguez-Palacios, Victoria Velasco (coordinator). - U. of Almeria: Amin Kaidi, J. Carlos Navarro. - U. of Cadiz: Antonio Aizpuru, Fernando Leon. - U. of Cordoba: J. Carlos Diaz. - U. of Huelva: Candido Pineiro, Ramon Rodriguez. - U. of Jaen: Miguel Marano, Francisco Roca. - U. of Malaga: Antonio Fernandez, Daniel Girela, Fco. Javier Martin. - U. of Sevilla: Santiago Diaz, Tomas Dguez Benavides, Carlos Perez, Luis Rguez Piazza. Organizing/Local Committee: M. Dolores Acosta, Julio Becerra, Antonio Moreno, Antonio Peralta

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Banach May 2004