Description

The Handbook presents an overview of most aspects of modern Banach space theory and its applications. The up-to-date surveys, authored by leading research workers in the area, are written to be accessible to a wide audience. In addition to presenting the state of the art of Banach space theory, 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. The Handbook begins with a chapter on basic concepts in Banach space theory which contains all the background needed for reading any other chapter in the Handbook. Each of the twenty one articles in this volume after the basic concepts chapter 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. Most have an extensive bibliography. 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.

Langue

en

Version

livre numérique

Date de sortie initiale

15 août 2001

Format ebook

Adobe PDF

Illustrations

Non

Traduction

Titre original

Handbook of the Geometry of Banach Spaces

Personnes impliquées

Auteur principal

W.B. Johnson

Deuxième auteur

Author Unknown

Coauteur

Jeffrey M. Lemm

Rédacteur en chef

W.B. Johnson

Deuxième rédacteur

J. Lindenstrauss

Editeur principal

North Holland

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Livre d‘étude

Oui

Police de caractères extra large

Non

Porno

Non

EAN

EAN

9780080532806

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Opérateur économique responsable dans l’UE

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