9780444513052 - Handbook of the Geometry of Banach Spaces (Volume 2) (9 resultados)

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Hardcover. Condición: New.

Condición: New. pp. 870.

Hardcover. Condición: Brand New. 1st edition. 1866 pages. 9.50x6.75x1.50 inches. In Stock.

Condición: New. pp. 870 1st Edition.

Condición: New. pp. 870.

Condición: new. Questo è un articolo print on demand.

Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -DESCRIPTION: The aim of this Handbook is to present an overview of the main research directions and results in Banach space theory obtained during the last half century. The scope of the theory, having widened considerably over the years, now has deep and close ties with many areas of mathematics, including harmonic analysis, complex analysis, partial differential equations, classical convexity, probability theory, combinatorics, logic, approximation theory, geometric measure theory, operator theory, and others. In choosing a topic for an article in the Handbook we considered both the interest the topic would have for non specialists as well as the importance of the topic for the core of Banach space theory, which is the study of the geometry of infinite dimensional Banach spaces and n-dimensional normed spaces within finite but large (local theory). TABLE OF CONTENTS: Preface; Descriptive Set Theory and Banach Spaces; Ramsey Methods in Banach Spaces; Quasi-Banach Spaces; Interpolation of Banach Spaces; Probabilistic Limit Theorems in the Setting of Banach Spaces; Quotients of Finite-Dimensional Banach Spaces; Random Phenomena; Banach Spaces with few Operators; Type-cotype and K- convexity; Distortion and Asymptotic Structure; Sobolev Spaces; Operator Spaces; Non-commutative Lp-spaces; Geometric Measure Theory in Banach Spaces; The Banach Spaces; Concentration, Results and Applications; Uniqueness of Structure in Banach Spaces; Spaces of Analytic Functions with Integral Norm; Extension of Bounded Linear Operators; Nonseparable Banach Spaces 870 pp. Englisch.

Buch. Condición: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Presenting 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 21 articles after his 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. The handbook should be useful to researchers in Banach theory, as well as graduate students and mathematicians who want to get an idea of the various developments in Banach space theory.