Handbook of the Geometry of Banach Spaces
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Handbook of the Geometry of Banach Spaces by Gerard Meurant
Book DescriptionPresenting 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. It begins with a chapter on basic concepts in Banach space theory, which 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.
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Book DetailsISBN: 9780444513052
(241mm x 170mm x 51mm)
Publisher: Elsevier Science & Technology
Publish Date: 1-Apr-2003
Country of Publication: United States
Books By Author Gerard Meurant
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Describes and explains the mathematical relationships among matrices, moments, orthogonal polynomials, quadrature rules, and the Lanczos and conjugate gradient algorithms. This book provides the mathematical background and explains the theory.
Lanczos and Conjugate Gradient Algorithms, Paperback (August 2006)
The most comprehensive and up-to-date discussion available of the Lanczos and CG methods for computing eigenvalues and solving linear systems.
Infinite Dimensional Linear Control Systems, Hardback (July 2005)
Aims to be a state-of-the-art monograph on the theory of the time and norm optimal controls for y(t) = Ay(t) + u(t) that ends at the very frontier of research. This work includes applications to optimal diffusion processes; applications to optimal heat propagation processes; and more.
Agenda Relevance, Hardback (May 2003)» View all books by Gerard Meurant
Identifies practical reasoning as reasoning performed with comparatively few cognitive assets, including resources such as information, time and computational capacity. This work is intended for researchers in logic, belief dynamics, computer science, AI, psychology and neuroscience, linguistics, argumentation theory, and other fields.
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