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Infinite Dimensional Analysis
A Hitchhiker's Guide
Langbeschreibung
This book presents functional analytic methods in a unified manner with applications to economics, social sciences, and engineering. Ideal for those without an extensive background in the area, it develops topology, convexity, Banach lattices, integration, correspondences, and the analytic approach to Markov processes. Many of the results were previously available only in esoteric monographs and will interest researchers and students who will find the material readily applicable to problems in control theory and economics.
Inhaltsverzeichnis
1 Odds and ends.- 2 Topology.- 3 Metrizable spaces.- 4 Measurability.- 5 Topological vector spaces.- 6 Normed spaces.- 7 Riesz spaces.- 8 Banach lattices.- 9 Charges and measures.- 10 Measures and topology.- 11 Integrals.- 12 Lp-spaces.- 13 Riesz Representation Theorems.- 14 Probability measures on metrizable spaces.- 15 Spaces of sequences.- 16 Correspondences.- 17 Measurable correspondences.- 18 Markov transitions.- 19 Ergodicity.- References.
ISBN-13:
9783662039618
Veröffentl:
2013
Seiten:
673
Autor:
Charalambos D. Aliprantis
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
85,59 €*
Lieferzeit: Sofort lieferbar
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