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Transactions of the American Mathematical Society

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An integral representation of a normal functional on a von Neumann algebra

Author: Herbert Halpern
Journal: Trans. Amer. Math. Soc. 125 (1966), 32-46
MSC: Primary 46.65
MathSciNet review: 0198266
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  • [1] 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
  • [2] James Glimm, A Stone-Weierstrass theorem for 𝐶*-algebras, Ann. of Math. (2) 72 (1960), 216–244. MR 0116210
  • [3] -, Type I $ {C^ \ast }$-algebras, Ann. of Math. 74 (1961), 572-612.
  • [4] M. A. Naĭmark, Normed rings, Gosudarstv. Izdat. Tehn.-Teor. Lit., Moscow, 1956 (Russian). MR 0090786
  • [5] Charles E. Rickart, General theory of Banach algebras, The University Series in Higher Mathematics, D. van Nostrand Co., Inc., Princeton, N.J.-Toronto-London-New York, 1960. MR 0115101
  • [6] J. Taylor, Tomita decomposition of rings of operators, Manuscript.

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Article copyright: © Copyright 1966 American Mathematical Society