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Proceedings of the American Mathematical Society

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$ W\sp*$-algebras with a single generator


Author: Carl Pearcy
Journal: Proc. Amer. Math. Soc. 13 (1962), 831-832
MSC: Primary 46.65
MathSciNet review: 0152904
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  • [1] Arlen Brown, The unitary equivalence of binormal operators, Amer. J. Math. 76 (1954), 414–434. MR 0062355
  • [2] Jacques Dixmier, Les algèbres d’opérateurs dans l’espace hilbertien (Algèbres de von Neumann), Cahiers scientifiques, Fascicule XXV, Gauthier-Villars, Paris, 1957 (French). MR 0094722
  • [3] J. v. Neumann, Zur Algebra der Funktionaloperationen und Theorie der normalen Operatoren, Math. Ann. 102 (1929), 370-427.
  • [4] Carl Pearcy, A complete set of unitary invariants for operators generating finite 𝑊*-algebras of type I, Pacific J. Math. 12 (1962), 1405–1416. MR 0149326
  • [5] Marshall Harvey Stone, Linear transformations in Hilbert space, American Mathematical Society Colloquium Publications, vol. 15, American Mathematical Society, Providence, RI, 1990. Reprint of the 1932 original. MR 1451877

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DOI: http://dx.doi.org/10.1090/S0002-9939-1962-0152904-1
Article copyright: © Copyright 1962 American Mathematical Society