Infinite Dimensional Analysis : A Hitchhiker's Guide (Studies in Economic Theory)

Aliprantis, Charalambos D./ Border, Kim C.

Springer-Verlag Berlin and Heidelberg GmbH & Co. K（1994/11発売）

• 製本 Hardcover:ハードカバー版／ページ数 621 p.
• 言語 ENG
• 商品コード 9783540583080
• DDC分類 515.7

Full Description

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.

Contents

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.