Irreducible Jordan algebras of self-adjoint operators
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- by Erling Størmer PDF
- Trans. Amer. Math. Soc. 130 (1968), 153-166 Request permission
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
- Jacques Dixmier, Les $C^{\ast }$-algèbres et leurs représentations, Cahiers Scientifiques, Fasc. XXIX, Gauthier-Villars & Cie, Éditeur-Imprimeur, Paris, 1964 (French). MR 0171173
- Jacques Dixmier, Traces sur les $C^*$-algèbres, Ann. Inst. Fourier (Grenoble) 13 (1963), no. fasc. 1, 219–262 (French). MR 149317, DOI 10.5802/aif.139
- Erling Størmer, Jordan algebras of type $\textrm {I}$, Acta Math. 115 (1966), 165–184. MR 209858, DOI 10.1007/BF02392206
- Richard V. Kadison, Operator algebras with a faithful weakly-closed representation, Ann. of Math. (2) 64 (1956), 175–181. MR 79233, DOI 10.2307/1969954
- Richard V. Kadison, Irreducible operator algebras, Proc. Nat. Acad. Sci. U.S.A. 43 (1957), 273–276. MR 85484, DOI 10.1073/pnas.43.3.273
- Erling Størmer, On the Jordan structure of $C^{\ast }$-algebras, Trans. Amer. Math. Soc. 120 (1965), 438–447. MR 185463, DOI 10.1090/S0002-9947-1965-0185463-5
- Edward G. Effros and Erling Størmer, Jordan algebras of self-adjoint operators, Trans. Amer. Math. Soc. 127 (1967), 313–316. MR 206733, DOI 10.1090/S0002-9947-1967-0206733-X
- David M. Topping, Jordan algebras of self-adjoint operators, Mem. Amer. Math. Soc. 53 (1965), 48. MR 190788
Additional Information
- © Copyright 1968 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 130 (1968), 153-166
- MSC: Primary 46.65; Secondary 17.00
- DOI: https://doi.org/10.1090/S0002-9947-1968-0217611-5
- MathSciNet review: 0217611