Banach spaces and their applications in analysis : proceedings of the international conference at Miami University, May 22-27, 2006, in honor of Nigel Kalton's 60th birthday / editors, Beata Randrianantoanina, Narcisse Randrianantoanina.

Format:

Book

Conference/Event

Contributor:

Alumni and Friends Memorial Book Fund.

Randrianantoanina, Beata.

Randrianantoanina, Narcisse.

Conference Name:

Banach Spaces and Their Applications in Analysis (2006 : Miami University (Oxford, Ohio))

Language:

English

Subjects (All):

Banach spaces--Congresses.

Banach spaces.

Kalton, Nigel J. (Nigel John), 1946-2010.

Kalton, Nigel J.

Genre:

Conference papers and proceedings.

Festschriften.

Physical Description:

ix, 453 pages : illustrations ; 25 cm

Place of Publication:

Berlin ; New York : Walter De Gruyter, [2007]

Summary:

In recent years there has been a surge of profound new developments in various aspects of analysis whose connecting thread is the use of Banach space methods. Indeed, many problems seemingly far from the classical geometry of Banach spaces have been solved using Banach space techniques.

This volume contains papers by participants of the conference "Banach Spaces and their Applications in Analysis", held in May 2006 at Miami University in Oxford, Ohio, in honor of Nigel Kalton's 60th birthday. In addition to research articles contributed by participants, the volume includes invited expository articles by principal speakers of the conference, who are leaders in their areas.

These articles present overviews of new developments in each of the conference's main areas of emphasis, namely nonlinear theory, isomorphic theory of Banach spaces including connections with combinatorics and set theory, algebraic and homological methods in Banach spaces, approximation theory and algorithms in Banach spaces.

This volume also contains an expository article about the deep and broad mathematical work of Nigel Kalton, written by his long time collaborator, Gilles Godefroy.

Godefroy's article, and in fact the entire volume, illustrates the power and versatility of applications of Banach space methods and underlying connections between seemingly distant areas of analysis.

Contents:

A glimpse at Nigel Kalton's work / Gilles Godefroy 1

Multivariate functions of bounded (k, p)-variation / Yuri Brudnyi 37

Twisted dualities in Banach space theory / Jesus M. F. Castillo, Yolanda Moreno 59

Orlicz sequence spaces with denumerable sets of symmetric sequences / Stephen J. Dilworth, Bunyamin Sari 77

Complexity and homogeneity in Banach spaces / Valentin Ferenczi, Christian Rosendal 83

Frechet differentiability of Lipschitz maps and porous sets in Banach spaces / Joram Lindenstrauss, David Preiss, Jaroslav Tiser 111

Conditions for stochastic integrability in UMD Banach spaces / Jan van Neerven, Mark Veraar, Lutz Weis 125

A new infinite game in Banach spaces with applications / Edward Odell, Thomas Schlumprecht, Andras Zsak 147

Extremal configurations for moments of sums of independent positive random variables / Gideon Schechtman 183

Greedy approximation in Banach spaces / Vladimir Temlyakov 193

Some problems in asymptotic convex geometry and random matrices motivated by numerical algorithms / Roman Vershynin 209

On Kolmogorov numbers of matrix transformations / Lipi R. Acharya, Manjul Gupta 219

On boundaries for spaces of holomorphic functions on the unit ball of a Banach space / Maria D. Acosta, Luiza A. Moraes 229

Some equivalent norms on the Hilbert space / George Androulakis, Frank Sanacory 241

Ball proximinality in Banach spaces / Pradipta Bandyopadhyay, Bor-Luh Lin, T. S. S. R. K. Rao 251

Discretization versus transference for bilinear operators / Earl Berkson, Oscar Blasco, Maria J. Carro, Thomas A. Gillespie 265

Implicit function theorems for nonregular mappings in Banach spaces. Exit from singularity / Olga A. Brezhneva, Alexey A. Tret'yakov 285

A general Baker superstability criterium for the D'Alembert functional equation / Stefan Czerwik, Maciej Przybyla 303

Metric derived numbers and continuous metric differentiability via homeomorphisms / Jakub Duda, Olga Maleva 307

Bohnenblust's theorem and norm-equivalent coordinates / Richard J. Fleming 331

An isometric form of a theorem of Lindenstrauss and Rosenthal on quotients of l[subscript 1] ([Gamma]) / Marcos Gonzalez, Marek Wojtowicz 339

Aspects of probabilistic Littlewood-Paley theory in Banach spaces / Tuomas P. Hytonen 343

The q-concavity and q-convexity constants in Lorentz spaces / Anna Kaminska, Anca M. Parrish 357

On properties of Chalmers-Metcalf operators / Grzegorz Lewicki, Leslaw Skrzypek 375

Approximating fixed points of asymptotically [Phi]-hemicontractive type mappings / Renxing Ni 391

Some properties related to the Daugavet property / Timur Oikhberg 399

Pathological hypercyclic operators II / Hector N. Salas 403

On perturbations of ideal complements / Boris Shekhtman 413

Asymptotically transitive Banach spaces / Jarno Talponen 423

Photo of the participants 440

Participants of the conference 441

Plenary talks 446

Talks in special sessions 447.

Notes:

Proceedings of the conference "Banach Spaces and Their Applications in Analysis," held at Miami University in Oxford, Ohio.

Includes bibliographical references.

Local Notes:

Acquired for the Penn Libraries with assistance from the Alumni and Friends Memorial Book Fund.

ISBN:

311019449X

9783110194494

OCLC:

176628302