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100   $a20121227d2002      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aLectures on Amenability$b[electronic resource] /$fby Volker Runde
205   $a1st ed. 2002.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2002.
215   $a1 online resource (XIV, 302 p.) 
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1774
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-540-42852-6 
320   $aIncludes bibliographical references (pages [281]-288) and index.
327   $aParadoxical 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.
330   $aThe notion of amenability has its origins in the beginnings of modern measure theory: Does a finitely additive set function exist which is invariant under a certain group action? Since the 1940s, amenability has become an important concept in abstract harmonic analysis (or rather, more generally, in the theory of semitopological semigroups). In 1972, B.E. Johnson showed that the amenability of a locally compact group G can be characterized in terms of the Hochschild cohomology of its group algebra L^1(G): this initiated the theory of amenable Banach algebras. Since then, amenability has penetrated other branches of mathematics, such as von Neumann algebras, operator spaces, and even differential geometry. Lectures on Amenability introduces second year graduate students to this fascinating area of modern mathematics and leads them to a level from where they can go on to read original papers on the subject. Numerous exercises are interspersed in the text.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v1774
606   $aAlgebra
606   $aFunctional analysis
606   $aHarmonic analysis
606   $aCategory theory (Mathematics)
606   $aHomological algebra
606   $aGlobal analysis (Mathematics)
606   $aManifolds (Mathematics)
606   $aAlgebra$3https://scigraph.springernature.com/ontologies/product-market-codes/M11000
606   $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066
606   $aAbstract Harmonic Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12015
606   $aCategory Theory, Homological Algebra$3https://scigraph.springernature.com/ontologies/product-market-codes/M11035
606   $aGlobal Analysis and Analysis on Manifolds$3https://scigraph.springernature.com/ontologies/product-market-codes/M12082
615  0$aAlgebra.
615  0$aFunctional analysis.
615  0$aHarmonic analysis.
615  0$aCategory theory (Mathematics).
615  0$aHomological algebra.
615  0$aGlobal analysis (Mathematics).
615  0$aManifolds (Mathematics).
615 14$aAlgebra.
615 24$aFunctional Analysis.
615 24$aAbstract Harmonic Analysis.
615 24$aCategory Theory, Homological Algebra.
615 24$aGlobal Analysis and Analysis on Manifolds.
676   $a510 s
700   $aRunde$b Volker$4aut$4http://id.loc.gov/vocabulary/relators/aut$066739
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a996466635103316
996   $aLectures on amenability$9262269
997   $aUNISA