000 | 03522nam a22005415i 4500 | ||
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001 | 978-3-540-45560-8 | ||
003 | DE-He213 | ||
005 | 20190213151350.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s2002 gw | s |||| 0|eng d | ||
020 |
_a9783540455608 _9978-3-540-45560-8 |
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024 | 7 |
_a10.1007/b82937 _2doi |
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050 | 4 | _aQA150-272 | |
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_aPBF _2bicssc |
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_aMAT002000 _2bisacsh |
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072 | 7 |
_aPBF _2thema |
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_a512 _223 |
100 | 1 |
_aRunde, Volker. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aLectures on Amenability _h[electronic resource] / _cby Volker Runde. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2002. |
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300 |
_aXIV, 302 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1774 |
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505 | 0 | _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. | |
520 | _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. | ||
650 | 0 | _aAlgebra. | |
650 | 0 | _aFunctional analysis. | |
650 | 0 | _aHarmonic analysis. | |
650 | 0 | _aGlobal analysis. | |
650 | 1 | 4 |
_aAlgebra. _0http://scigraph.springernature.com/things/product-market-codes/M11000 |
650 | 2 | 4 |
_aFunctional Analysis. _0http://scigraph.springernature.com/things/product-market-codes/M12066 |
650 | 2 | 4 |
_aAbstract Harmonic Analysis. _0http://scigraph.springernature.com/things/product-market-codes/M12015 |
650 | 2 | 4 |
_aCategory Theory, Homological Algebra. _0http://scigraph.springernature.com/things/product-market-codes/M11035 |
650 | 2 | 4 |
_aGlobal Analysis and Analysis on Manifolds. _0http://scigraph.springernature.com/things/product-market-codes/M12082 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662185438 |
776 | 0 | 8 |
_iPrinted edition: _z9783540428527 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1774 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/b82937 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c10426 _d10426 |