Lectures on Amenability
by Volker Runde
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Cod produs/ISBN: 9783540428527
Disponibilitate: Acest produs nu este momentan in stoc
Autor: Volker Runde
Editura: Springer
Limba: Engleza
Nr. pagini: 309
Coperta: Paperback
Dimensiuni: 9.2 x 6.1 x 0.7 inches
An aparitie: 2002 edition (December 4, 2001)
The notion of amenability has its origins in the beginnings of modern measure theory: Does a finitely additive set function exist which is invariant under a certain group action? Since the 1940s, amenability has become an important concept in abstract harmonic analysis (or rather, more generally, in the theory of semitopological semigroups). In 1972, B.E. Johnson showed that the amenability of a locally compact group G can be characterized in terms of the Hochschild cohomology of its group algebra L^1(G): this initiated the theory of amenable Banach algebras. Since then, amenability has penetrated other branches of mathematics, such as von Neumann algebras, operator spaces, and even differential geometry. Lectures on Amenability introduces second year graduate students to this fascinating area of modern mathematics and leads them to a level from where they can go on to read original papers on the subject. Numerous exercises are interspersed in the text.
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An aparitie | 2002 edition (December 4, 2001) |
Autor | Volker Runde |
Dimensiuni | 9.2 x 6.1 x 0.7 inches |
Editura | Springer |
Format | Paperback |
ISBN | 9783540428527 |
Limba | Engleza |
Nr pag | 309 |
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