Lectures on Amenability
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...
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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg
Springer Berlin Heidelberg
2002, 2002
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| Edition: | 1st ed. 2002 |
| Series: | Lecture Notes in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- Paradoxical decompositions
- Amenable, locally comact groups
- Amenable Banach algebras
- Exemples of amenable Banach algebras
- Amenability-like properties
- Banach homology
- C* and W*-algebras
- Operator amenability
- Geometry of spaces of homomorphisms
- Open problems: Abstract harmonic analysis
- Tensor products
- Banach space properties
- Operator spaces
- List of symbols
- References
- Index