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Infinite Dimensional Analysis [electronic resource] : a Hitchhiker's Guide / by Charalambos D. Aliprantis, Kim C. Border.

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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 a functional analyst. It develops topology, convexity, Banach lattices, integration, correspondences (multifunct...

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Bibliographic Details
Online Access: Full Text (via Springer)
Main Author: Aliprantis, Charalambos D.
Other Authors: Border, Kim C.
Format: Electronic eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 1999.
Edition:Second, Completely revised and enlarged edition.
Subjects:
Economics.
Global analysis (Mathematics)
Engineering mathematics.
Economics, Mathematical.
Table of Contents:
  • 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.

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