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Infinite dimensional analysis : a hitchhiker's guide

Author: Charalambos D Aliprantis; Kim C Border
Publisher: Berlin ; New York : Springer, ©2006.
Edition/Format:   eBook : Document : English : 3rd [rev. and enl.] edView all editions and formats
Summary:
Presents a study of modern functional analysis. This book is intended for the student or researcher who could benefit from functional analytic methods. It develops the topological structures in connection with measure theory, convexity, Banach lattices, integration, correspondences (multifunctions), and the analytic approach to Markov processes.
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Aliprantis, Charalambos D.
Infinite dimensional analysis.
Berlin ; New York : Springer, ©2006
(DLC) 2006921177
(OCoLC)69983226
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Charalambos D Aliprantis; Kim C Border
ISBN: 9783540295877 3540295879 3540295860 9783540295860
OCLC Number: 262692874
Notes: Slightly revised new edition.
Description: 1 online resource (xxii, 703 pages) : illustrations
Contents: 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.
Responsibility: Charalambos D. Aliprantis, Kim C. Border.
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Abstract:

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. It is a  Read more...

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