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Wednesday, February 11, 2009

Charalambos D. Aliprantis: Infinite Dimensional Analysis: A Hitchhiker's Guide

Pages:703 | PDF | Springer; 3rd edition (June 30, 2006) | ISBN 3540295860 | 4 MB

This monograph presents 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 does not have an extensive background and does not plan to make a career as a functional analyst. It develops the topological structures in connection with measure theory, convexity, Banach lattices, integration, correspondences (multifunctions), and the analytic approach to Markov processes. Many of the results were previously available only in works scattered throughout the literature. The choice of material was motivated from problems in control theory and economics, although the material is more applicable than applied.



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