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Zbl 1156.46001
Aliprantis, Charalambos D.; Border, Kim C.
Infinite dimensional analysis. A hitchhiker's guide. 3rd ed.
(English)
[B] Berlin: Springer. xxii, 703~p. EUR~64.95/net; SFR~113.50; \$~84.95; \sterling~50.00 (2006). ISBN 978-3-540-32696-0/pbk

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.
[Dirk Werner (Berlin)]
MSC 2000:
*46-01 Textbooks (functional analysis)
28-01 Textbooks (measure and integration)
46N10 Appl. of functional analysis in optimization and math. programming
91B02 Fundamental topics on applicability to economics

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

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Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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