000			02640nam a22003857a 4500
003			OSt
005			20250212124708.0
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020			_a9783030463687
040			_aNISER LIBRARY _beng _cNISER LIBRARY
041			_aEnglish
082			_a512.5 _bSCH-I
100			_aSchmüdgen, Konrad
245			_aInvitation to unbounded representations of *- algebras on hilbert space
260			_aCham, Switzerland : _bSpringer, _c2020
300			_axviii, 381 p. : _b9 illus.
490			_aGraduate texts in mathematics ; _vVolume 285.
504			_aIncludes bibliographical references and index.
520			_aThis textbook provides an introduction to representations of general ∗-algebras by unbounded operators on Hilbert space, a topic that naturally arises in quantum mechanics but has so far only been properly treated in advanced monographs aimed at researchers. The book covers both the general theory of unbounded representation theory on Hilbert space as well as representations of important special classes of ∗-algebra, such as the Weyl algebra and enveloping algebras associated to unitary representations of Lie groups. A broad scope of topics are treated in book form for the first time, including group graded ∗-algebras, the transition probability of states, Archimedean quadratic modules, noncommutative Positivstellensätze, induced representations, well-behaved representations and representations on rigged modules. Making advanced material accessible to graduate students, this book will appeal to students and researchers interested in advanced functional analysis and mathematical physics, and with many exercises it can be used for courses on the representation theory of Lie groups and its application to quantum physics. A rich selection of material and bibliographic notes also make it a valuable reference.
650			_aAssociative rings and algebras
650			_aHilbert algebras
650			_aHilbert space
650			_aLie groups
650			_aOperator algebras
650			_aOperator theory
650			_aTopological Groups, Lie Groups
650			_aTrace functionals
650			_aUnbounded representations
650			_aQuadratic modules
650			_aInfinitesimal representations
650			_aWeyl algebra
856			_3Table of content _uhttps://link.springer.com/content/pdf/bfm:978-3-030-46366-3/1
856			_3Reviews _uhttps://www.goodreads.com/book/show/72499137-an-invitation-to-unbounded-representations-of--algebras-on-hilbert-spac?ac=1&from_search=true&qid=oHHw0TYwL9&rank=1#CommunityReviews
942			_2udc _cBK
999			_c35634 _d35634