On the characterization of Abelian $W^{^{\ast } }$-algebras
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- by J. W. Jenkins
- Proc. Amer. Math. Soc. 35 (1972), 436-438
- DOI: https://doi.org/10.1090/S0002-9939-1972-0306934-3
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Abstract:
In this note we present an elementary proof that an Abelian ${W^ \ast }$-algebra is generated by the range of some real spectral measure.References
- Jacques Dixmier, Les algèbres d’opĂ©rateurs dans l’espace hilbertien (Algèbres de von Neumann), Cahiers Scientifiques, Fasc. XXV, Gauthier-Villars, Paris, 1957 (French). MR 0094722 M. A. NaÄmark, Normed rings, GITTL, Moscow, 1956; English transl., Noordhoff, Groningen, 1959. MR 19, 870; MR 22 #1824.
- J. T. Schwartz, $W^{\ast }$-algebras, Gordon and Breach Science Publishers, New York-London-Paris, 1967. MR 0232221
Bibliographic Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 35 (1972), 436-438
- MSC: Primary 46L10
- DOI: https://doi.org/10.1090/S0002-9939-1972-0306934-3
- MathSciNet review: 0306934