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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Bibliographic Details
Main Author: Runde, Volker
Format: eBook
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2002, 2002
Edition:1st ed. 2002
Series:Lecture Notes in Mathematics
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