http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
1 online resource (xviii, 603 pages) : illustrations.
This book is intended for the student or researcher who could benefit from functional analytic methods, but who does not have an extensive background and does not plan to make a career as an analyst. It develops topology, convexity, Banach lattices, integration, correspondences (multifunctions), and the analytic approach to Markov processes. Many of the results were previously available only in esoteric monographs. The choice of material was motivated from problems in control theory and economics, although the material is more applicable than applied.
Contents: Odds and ends -- Topology -- Metrizable spaces -- Topological vector spaces -- Normed spaces -- Riesz spaces -- Banach lattices -- Charges and measures -- Integrals -- Lp-spaces -- Measures and topology -- Probability measures on metrizable spaces -- Spaces of sequences -- Correspondences -- Markov transitions -- Ergodicity.
Charalambos D. Aliprantis, Kim C. Border.
Includes bibliographical references (pages [567]-579) and index.
Studies in economic theory (Berlin, Germany) ; 4