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Beschreibung
Aimed at students and researchers, this is the very first book to present functional analysis in a unified manner, along with applications to economics, social sciences, and engineering. What readers will 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 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.
Aimed at students and researchers, this is the very first book to present functional analysis in a unified manner, along with applications to economics, social sciences, and engineering. What readers will 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 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.
Zusammenfassung

Aimed at students and researchers, this is the very first book to present functional analysis in a unified manner, along with applications to economics, social sciences, and engineering. What readers will 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 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.

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2007
Fachbereich: Volkswirtschaft
Genre: Recht, Sozialwissenschaften, Wirtschaft
Rubrik: Recht & Wirtschaft
Medium: Taschenbuch
Inhalt: xxii
704 S.
ISBN-13: 9783540326960
ISBN-10: 3540326960
Sprache: Englisch
Herstellernummer: 11681052
Einband: Kartoniert / Broschiert
Autor: Aliprantis, Charalambos D.
Border, Kim C.
Auflage: 3rd edition 2006
Hersteller: Springer
J.B. Metzler
Springer-Verlag GmbH
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 39 mm
Von/Mit: Charalambos D. Aliprantis (u. a.)
Erscheinungsdatum: 02.05.2007
Gewicht: 1,083 kg
Artikel-ID: 102066353