(Ebook) Handbook of the Geometry of Banach Spaces: Volume 2 by W.B. Johnson, J. Lindenstrauss (Editors) ISBN 9780444513052, 0444513051

(Ebook) Handbook of the Geometry of Banach Spaces: Volume 2 by W.B. Johnson, J. Lindenstrauss (Editors) ISBN 9780444513052, 0444513051

Handbook of the Geometry of Banach Spaces presents an overview of most aspects of modern Banach space theory and its applications, this handbook offers up-to-date surveys by a range of expert authors. The surveys discuss the relation of the subject with such areas as harmonic analysis, complex analysis, classical convexity, probability theory, operator theory, combinatorics, logic, geometric measure theory and partial differential equations. contains all the background needed for reading any other chapter. Each of the articles after this is devoted to one specific direction of Banach space theory or its applications. Each article contains a motivated introduction as well as an exposition of the main results, methods and open problems in its specific direction. Many articles contain new proofs of known results as well as expositions of proofs which are hard to locate in the literature or are only outlined in the original research papers.As well as being valuable to experienced researchers in Banach space theory, the Handbook should be an outstanding source for inspiration and information to graduate students and beginning researchers. The Handbook will be useful for mathematicians who want to get an idea of the various developments in Banach space theory.