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Cover: 9783540428527 | Lectures on Amenability | Volker Runde | Taschenbuch | xiv | Englisch
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Lectures on Amenability
Taschenbuch von Volker Runde
Sprache: Englisch

47,95 €*

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Beschreibung
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.
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.
Zusammenfassung

Includes supplementary material: [...]

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2001
Fachbereich: Analysis
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xiv
302 S.
ISBN-13: 9783540428527
ISBN-10: 3540428526
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Runde, Volker
Hersteller: Springer Berlin
Springer Berlin Heidelberg
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 18 mm
Von/Mit: Volker Runde
Erscheinungsdatum: 04.12.2001
Gewicht: 0,482 kg
Artikel-ID: 104197437
Zusammenfassung

Includes supplementary material: [...]

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2001
Fachbereich: Analysis
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xiv
302 S.
ISBN-13: 9783540428527
ISBN-10: 3540428526
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Runde, Volker
Hersteller: Springer Berlin
Springer Berlin Heidelberg
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 18 mm
Von/Mit: Volker Runde
Erscheinungsdatum: 04.12.2001
Gewicht: 0,482 kg
Artikel-ID: 104197437
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