Infinite Dimensional Analysis A Hitchhiker’s Guide /

• Main Authors: Aliprantis, Charalambos D. (Author), Border, Kim C. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.
• Edition: Third Edition.
• Subjects: Functional analysis.; Economic theory.; Economics.; Economic Theory/Quantitative Economics/Mathematical Methods.; Functional Analysis.

This new edition of The Hitchhiker’s Guide has bene?tted from the comments of many individuals, which have resulted in the addition of some new material, and the reorganization of some of the rest. The most obvious change is the creation of a separate Chapter 7 on convex analysis. Parts of this chap...

Table of 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.