Infinite dimensional analysis. A hitchhiker’s guide. 3rd ed. (English) Zbl 1156.46001

Aliprantis, Charalambos D.; Border, Kim C.

Berlin: Springer (ISBN 978-3-540-32696-0/pbk). xxii, 703 p. (2006).

The contents of this successful book and its target audience have been described in the reviews of the first and second edition [Springer Verlag (1994; Zbl 0839.46001), (1999; Zbl 0938.46001)]. The new edition has been expanded at many places, some of the material has been reorganised, and there are several new sections, for example on Hilbert spaces, subgradients, locally compact metrisable spaces and exposed points of convex sets.

Reviewer: Dirk Werner (Berlin)

MSC:

46-01	Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis
28-01	Introductory exposition (textbooks, tutorial papers, etc.) pertaining to measure and integration
46N10	Applications of functional analysis in optimization, convex analysis, mathematical programming, economics
91B02	Fundamental topics (basic mathematics, methodology; applicable to economics in general)

Keywords:

functional analysis; measure and integration theory; ergodic theory; correspondences; theoretical economics; locally convex spaces; Banach spaces; ordered spaces

Citations:

Zbl 0839.46001; Zbl 0938.46001