E-grāmata: Banach Spaces and their Applications in Analysis: In Honor of Nigel Kalton's 60th Birthday

These proceedings of the May 2006 conference honor Nigel Kalton on his sixtieth birthday, and include papers by participants and invited expository articles by principle speakers on nonlinear theory, the isomorphic theory of Banach spaces including connections with combinatories at set theory, algebraic and homological methods in Banach spaces, approximation theory and algorithms in Banach spaces. Specific topics include a survey of Kalton's work, twisted dualities in Banach space theory, complexity and homogeneity in Banach spaces, conditions for stochastic integrability in UMD Banach spaces, a new infinite game for Banach spaces with applications, greedy approximation in Banach spaces, Kolmogorov numbers of matrix transformations, a general Baker super-stability criterion for the D'Alembert functional equation, aspects of probabilistic Littlewood-Paley theory, properties related to the Dauavet property, perturbations of ideal complements and asymptotically transitive Banach spaces. Annotation ©2008 Book News, Inc., Portland, OR (booknews.com)

The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

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.