On a weakly convergent sequence of normal functionals on a von Neumann algebra
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- by Noboru Suzuki
- Proc. Amer. Math. Soc. 22 (1969), 697-701
- DOI: https://doi.org/10.1090/S0002-9939-1969-0247494-5
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References
- G. F. Dell’Antonio, On the limits of sequences of normal states, Comm. Pure Appl. Math. 20 (1967), 413–429. MR 209854, DOI 10.1002/cpa.3160200209
- Jacques Dixmier, Les algèbres d’opérateurs dans l’espace hilbertien (Algèbres de von Neumann), Cahiers Scientifiques [Scientific Reports], Fasc. XXV, Gauthier-Villars, Paris, 1957 (French). MR 94722
- Herbert Halpern, An integral representation of a normal functional on a von Neumann algebra, Trans. Amer. Math. Soc. 125 (1966), 32–46. MR 198266, DOI 10.1090/S0002-9947-1966-0198266-3
- I. E. Segal, A non-commutative extension of abstract integration, Ann. of Math. (2) 57 (1953), 401–457. MR 54864, DOI 10.2307/1969729
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 22 (1969), 697-701
- MSC: Primary 46.65
- DOI: https://doi.org/10.1090/S0002-9939-1969-0247494-5
- MathSciNet review: 0247494