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Gelfand–Naimark theorem
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== References == {{Reflist}} * {{cite journal |author=[[I. M. Gelfand]], [[M. A. Naimark]] |title=On the imbedding of normed rings into the ring of operators on a Hilbert space |journal=Mat. Sbornik |volume=12 |issue=2 |year=1943 |pages=197–217 |url=http://mi.mathnet.ru/eng/msb6155}} (also [https://books.google.com/books?id=DYCUp0JYU6sC&pg=PA3 available from Google Books]) * {{cite book |first=Jacques|last=Dixmier|author-link=Jacques Dixmier|title=Les C*-algèbres et leurs représentations|publisher=Gauthier-Villars|year=1969|isbn=0-7204-0762-1|url-access=registration|url=https://archive.org/details/calgebras0000dixm}}, also available in English from North Holland press, see in particular sections 2.6 and 2.7. * {{cite book |first=Tanja |last=Eisner |first2=Bálint |last2=Farkas |first3=Markus |last3=Haase |first4=Rainer |last4=Nagel |year=2015 |title=Operator Theoretic Aspects of Ergodic Theory |location= |publisher=Springer |isbn=978-3-319-16897-5 |doi=10.1007/978-3-319-16898-2_4 |chapter=The <math>{\operatorname{C}^*}</math>-Algebra C(K) and the Koopman Operator |pages=45–70 }} {{Functional analysis}} {{SpectralTheory}} {{Authority control}} {{DEFAULTSORT:Gelfand-Naimark theorem}} [[Category:Operator theory]] [[Category:Theorems in functional analysis]] [[Category:C*-algebras]]
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