Linear mappings of operator algebras
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- by B. Russo
- Proc. Amer. Math. Soc. 17 (1966), 1019-1022
- DOI: https://doi.org/10.1090/S0002-9939-1966-0198269-4
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References
- Jacques Dixmier, Les algèbres d’opérateurs dans l’espace hilbertien (Algèbres de von Neumann), Cahiers Scientifiques, Fasc. XXV, Gauthier-Villars, Paris, 1957 (French). MR 0094722
- Richard V. Kadison, Isometries of operator algebras, Ann. of Math. (2) 54 (1951), 325–338. MR 43392, DOI 10.2307/1969534
- Richard V. Kadison, A generalized Schwarz inequality and algebraic invariants for operator algebras, Ann. of Math. (2) 56 (1952), 494–503. MR 51442, DOI 10.2307/1969657
- Irving Kaplansky, Projections in Banach algebras, Ann. of Math. (2) 53 (1951), 235–249. MR 42067, DOI 10.2307/1969540
- Marvin Marcus and Roger Purves, Linear transformations on algebras of matrices: the invariance of the elementary symmetric functions, Canadian J. Math. 11 (1959), 383–396. MR 105425, DOI 10.4153/CJM-1959-039-4
- B. Russo and H. A. Dye, A note on unitary operators in $C^{\ast }$-algebras, Duke Math. J. 33 (1966), 413–416. MR 193530
- W. Forrest Stinespring, Positive functions on $C^*$-algebras, Proc. Amer. Math. Soc. 6 (1955), 211–216. MR 69403, DOI 10.1090/S0002-9939-1955-0069403-4
Bibliographic Information
- © Copyright 1966 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 17 (1966), 1019-1022
- MSC: Primary 46.65
- DOI: https://doi.org/10.1090/S0002-9939-1966-0198269-4
- MathSciNet review: 0198269