Infinite Dimensional Analysis: A Hitchhiker's Guide

Charalambos D. Aliprantis/ Kim C. Border

ISBN 10: 3540295860 / ISBN 13: 9783540295860

Editore: Springer Verlag, 2006

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3rd edition. 703 pages. 9.25x6.25x1.50 inches. In Stock. Codice articolo x-3540295860

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Titolo: Infinite Dimensional Analysis: A ...

Casa editrice: Springer Verlag

Data di pubblicazione: 2006

Legatura: Hardcover

Condizione: Brand New

Edizione: terza edizione

Descrizione articolo

Riassunto:

What you’ll find in this monograph is nothing less than a complete and rigorous study of modern functional analysis. It is intended for the student or researcher who could benefit from functional analytic methods, but who does not have an extensive background in the subject and does not plan to make a career as a functional analyst. It develops the topological structures in connection with a number of topic areas such as measure theory, convexity, and Banach lattices, as well as covering the analytic approach to Markov processes. Many of the results were previously available only in works scattered throughout the literature.

Contenuti:

Odds and ends.- Topology.- Metrizable spaces.- Measurability.- Topological vector spaces.- Normed spaces.- Convexity.- Riesz spaces.- Banach lattices.- Charges and measures.- Integrals.- Measures and topology.- Lp-spaces.- Riesz Representation Theorems.- Probability measures.- Spaces of sequences.- Correspondences.- Measurable correspondences.- Markov transitions.- Ergodicity.