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003 DE-He213
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008 121227s2002 xxu| s |||| 0|eng d
020 _a9780387215181
_9978-0-387-21518-1
024 7 _a10.1007/b97227
_2doi
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBK
_2thema
082 0 4 _a515
_223
100 1 _aArveson, William.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 2 _aA Short Course on Spectral Theory
_h[electronic resource] /
_cby William Arveson.
250 _a1st ed. 2002.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c2002.
300 _aX, 142 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aGraduate Texts in Mathematics,
_x0072-5285 ;
_v209
505 0 _aSpectral Theory and Banach Algebras -- Operators on Hilbert Space -- Asymptotics: Compact Perturbations and Fredholm Theory -- Methods and Applications.
520 _aThis book presents the basic tools of modern analysis within the context of the fundamental problem of operator theory: to calculate spectra of specific operators on infinite dimensional spaces, especially operators on Hilbert spaces. The tools are diverse, and they provide the basis for more refined methods that allow one to approach problems that go well beyond the computation of spectra: the mathematical foundations of quantum physics, noncommutative k-theory, and the classification of simple C*-algebras being three areas of current research activity which require mastery of the material presented here. The book is based on a fifteen-week course which the author offered to first or second year graduate students with a foundation in measure theory and elementary functional analysis.
650 0 _aMathematical analysis.
650 0 _aAnalysis (Mathematics).
650 0 _aOperator theory.
650 0 _aFunctional analysis.
650 1 4 _aAnalysis.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M12007
650 2 4 _aOperator Theory.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M12139
650 2 4 _aFunctional Analysis.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M12066
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9781441929433
776 0 8 _iPrinted edition:
_z9780387953007
776 0 8 _iPrinted edition:
_z9781468492859
830 0 _aGraduate Texts in Mathematics,
_x0072-5285 ;
_v209
856 4 0 _uhttps://doi.org/10.1007/b97227
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
912 _aZDB-2-BAE
999 _c9417
_d9417