Lectures on Amenability

• Κύριος συγγραφέας: Runde, Volker (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2002.
• Έκδοση: 1st ed. 2002.
• Σειρά: Lecture Notes in Mathematics, 1774
• Θέματα: 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...

Πίνακας περιεχομένων:

• 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.