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Author: Joram Lindenstrauss
Publisher: American Mathematical Soc.
ISBN: 0821812483
Category : Banach spaces
Languages : en
Pages : 116
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Book Description
Author: Joram Lindenstrauss
Publisher: American Mathematical Soc.
ISBN: 0821812483
Category : Banach spaces
Languages : en
Pages : 116
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Book Description
Author:
Publisher: Elsevier
ISBN: 0080533507
Category : Mathematics
Languages : en
Pages : 873
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Book Description
Handbook of the Geometry of Banach Spaces
Author: William B. Johnson
Publisher: Elsevier
ISBN: 9780444513052
Category : Banach spaces
Languages : en
Pages : 880
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Book 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.
Author: Nik Weaver
Publisher: World Scientific
ISBN: 9789810238735
Category : Mathematics
Languages : en
Pages : 242
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Book Description
The Lipschitz algebras Lp(M), for M a complete metric space, are quite analogous to the spaces C(omega) and Linfinity(X), for omega a compact Hausdorff space and X a sigma-finite measure space. Although the Lipschitz algebras have not been studied as thoroughly as these better-known cousins, it is becoming increasingly clear that they play a fundamental role in functional analysis, and are also useful in many applications, especially in the direction of metric geometry. This book gives a comprehensive treatment of (what is currently known about) the beautiful theory of these algebras.
Author: Joseph A. Ball
Publisher: Springer Science & Business Media
ISBN: 3034601581
Category : Mathematics
Languages : en
Pages : 624
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Book Description
This is the first volume of a collection of original and review articles on recent advances and new directions in a multifaceted and interconnected area of mathematics and its applications. It encompasses many topics in theoretical developments in operator theory and its diverse applications in applied mathematics, physics, engineering, and other disciplines. The purpose is to bring in one volume many important original results of cutting edge research as well as authoritative review of recent achievements, challenges, and future directions in the area of operator theory and its applications.
Author: Donald I. Cartwright
Publisher: Amer Mathematical Society
ISBN: 9780821818640
Category : Mathematics
Languages : en
Pages : 48
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Book Description
Author: Richard V. Kadison
Publisher: American Mathematical Soc.
ISBN: 0821814419
Category : Mathematics
Languages : en
Pages : 654
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Book Description
Author: S. I. Adi︠a︡n
Publisher: American Mathematical Soc.
ISBN: 9780821830338
Category : Mathematics
Languages : en
Pages : 284
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Book Description
Papers celebrating Petr Sergeevič Novikov and his work in descriptive set theory and algorithmic problems of algebra.
Author: J. Bourgain
Publisher: Springer
ISBN: 3540386114
Category : Mathematics
Languages : en
Pages : 147
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Book Description
The purpose of this text is to present new examples of LP-spaces for 1 ≤ P ≤ ∞. This work has three reasons of interest. First, of course, it provides new LPspaces. Secondly, because certain constructions are based on new ideas and techniques with possibly other applications. Finally, especially in chapters four and five, crucial use is made of certain probabilistic results which have an independent importance.
Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 298
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Book Description
