Infinite dimensional analysis : a hitchhiker's guide

書誌事項

Infinite dimensional analysis : a hitchhiker's guide

Charalambos D. Aliprantis, Kim C. Border

(Studies in economic theory, 4)

Springer-Verlag, c1994

  • : gw
  • : us

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

This monograph is aimed at the advanced student or researcher who does not have a background in functional analysis methods, but could benefit from their application. It develops topology, convexity, Banach lattices, integration, correspondences and the analytical approach to Markov processes.

目次

  • Part 1 Odds and ends: topology
  • metrizable spaces. Part 2 Topological vector spaces: normed spaces
  • Riesz spaces. Part 3 Banach lattices: charges and measures
  • integrals. Part 4 Lp-spaces: measures and topology
  • probability measures on metrizable spaces
  • spaces of sequences
  • correspondences. Part 5 Markov transitions: ergodicity.

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