Banach Spaces and their Applications in Analysis : : In Honor of Nigel Kalton's 60th Birthday / / ed. by Beata Randrianantoanina, Narcisse Randrianantoanina.

• Superior document: Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1
• MitwirkendeR: Acharya, Lipi R.,; Acosta, María D.,; Androulakis, George,; Bandyopadhyay, Pradipta,; Berkson, Earl,; Blasco, Oscar,; Brezhneva, Olga A.,; Brudnyi, Yuri,; Carro, María J.,; Castillo, Jesús M. F.,; Czerwik, Stefan,; Dilworth, Stephen J.,; Duda, Jakub,; Ferenczi, Valentin,; Fleming, Richard J.,; Gillespie, Thomas A.,; Godefroy, Gilles,; González, Marcos,; Gupta, Manjul,; Hytönen, Tuomas P.,; Kamínska, Anna,; Lewicki, Grzegorz,; Lin, Bor-Luh,; Lindenstrauss, Joram,; Maleva, Olga,; Moraes, Luiza A.,; Moreno, Yolanda,; Neerven, Jan van,; Ni, Renxing,; Odell, Edward,; Oikhberg, Timur,; Parrish, Anca M.,; Preiss, David,; Przybyła, Maciej,; Randrianantoanina, Beata,; Randrianantoanina, Narcisse,; Rao, T. S. S. R. K.,; Rosendal, Christian,; Salas, Héctor N.,; Sanacory, Frank,; Sarı, Bünyamin,; Schechtman, Gideon,; Schlumprecht, Thomas,; Shekhtman, Boris,; Skrzypek, Lesław,; Talponen, Jarno,; Temlyakov, Vladimir,; Tišer, Jaroslav,; Tret’yakov, Alexey A.,; Veraar, Mark,; Vershynin, Roman,; Weis, Lutz,; Wójtowicz, Marek,; Zsák, András,
• HerausgeberIn: Randrianantoanina, Beata,; Randrianantoanina, Narcisse,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2011]; ©2007
• Year of Publication: 2011
• Language: English
• Series: De Gruyter Proceedings in Mathematics
• Physical Description: 1 online resource (453 p.) :; 1 frontispiece

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.

Table of Contents

i-iv -- Preface -- Table of Contents -- A glimpse at Nigel Kalton’s work -- Multivariate functions of bounded (k, p)-variation -- Twisted dualities in Banach space theory -- Orlicz sequence spaces with denumerable sets of symmetric sequences -- Complexity and homogeneity in Banach spaces -- Fréchet differentiability of Lipschitz maps and porous sets in Banach spaces -- Conditions for stochastic integrability in UMD Banach spaces -- A new infinite game in Banach spaces with applications -- Extremal configurations for moments of sums of independent positive random variables -- Greedy approximation in Banach spaces -- Some problems in asymptotic convex geometry and random matrices motivated by numerical algorithms -- On Kolmogorov numbers of matrix transformations -- On boundaries for spaces of holomorphic functions on the unit ball of a Banach space -- Some equivalent norms on the Hilbert space -- Ball proximinality in Banach spaces -- Discretization versus transference for bilinear operators -- Implicit function theorems for nonregular mappings in Banach spaces. Exit from singularity -- A general Baker superstability criterion for the D’Alembert functional equation -- Metric derived numbers and continuous metric differentiability via homeomorphisms -- Bohnenblust’s theorem and norm-equivalent coordinates -- An isometric form of a theorem of Lindenstrauss and Rosenthal on quotients of ℓ1 (Γ) -- Aspects of probabilistic Littlewood–Paley theory in Banach spaces -- The q-concavity and q-convexity constants in Lorentz spaces -- On properties of Chalmers–Metcalf operators -- Approximating fixed points of asymptotically Φ-hemicontractive type mappings -- Some properties related to the Daugavet property -- Pathological hypercyclic operators II -- On perturbations of ideal complements -- Asymptotically transitive Banach spaces -- Photo of the participants -- Participants of the conference -- Plenary talks -- Talks in special sessions