Lectures on Amenability

• Main Author: Runde, Volker (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2002.
• Edition: 1st ed. 2002.
• Series: Lecture Notes in Mathematics, 1774
• Subjects: Algebra.; Functional analysis.; Harmonic analysis.; Category theory (Mathematics).; Homological algebra.; Global analysis (Mathematics).; Manifolds (Mathematics).; Functional Analysis.; Abstract Harmonic Analysis.; Category Theory, Homological Algebra.; Global Analysis and Analysis on Manifolds.

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...

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.