Isometries of $L^p$-spaces associated with finite von Neumann algebras
HTML articles powered by AMS MathViewer
- by Bernard Russo PDF
- Bull. Amer. Math. Soc. 74 (1968), 228-232
References
- Michel Broise, Sur les isomorphismes de certaines algĂšbres de von Neumann, Ann. Sci. Ăcole Norm. Sup. (3) 83 (1966), 91â111 (French). MR 0213885, DOI 10.24033/asens.1149
- J. Dixmier, Formes linĂ©aires sur un anneau dâopĂ©rateurs, Bull. Soc. Math. France 81 (1953), 9â39 (French). MR 59485, DOI 10.24033/bsmf.1436
- Jacques Dixmier, Les algĂšbres dâopĂ©rateurs dans lâespace hilbertien (AlgĂšbres de von Neumann), Cahiers Scientifiques, Fasc. XXV, Gauthier-Villars, Paris, 1957 (French). MR 0094722
- Jacques Dixmier, Les $C^{\ast }$-algĂšbres et leurs reprĂ©sentations, Cahiers Scientifiques, Fasc. XXIX, Gauthier-Villars & Cie, Ăditeur-Imprimeur, Paris, 1964 (French). MR 0171173
- Richard V. Kadison, Isometries of operator algebras, Ann. of Math. (2) 54 (1951), 325â338. MR 43392, DOI 10.2307/1969534
- John Lamperti, On the isometries of certain function-spaces, Pacific J. Math. 8 (1958), 459â466. MR 105017, DOI 10.2140/pjm.1958.8.459
- B. Russo and H. A. Dye, A note on unitary operators in $C^{\ast }$-algebras, Duke Math. J. 33 (1966), 413â416. MR 193530, DOI 10.1215/S0012-7094-66-03346-1
- I. E. Segal, A non-commutative extension of abstract integration, Ann. of Math. (2) 57 (1953), 401â457. MR 54864, DOI 10.2307/1969729
- Noboru Suzuki, Crossed products of rings of operators, Tohoku Math. J. (2) 11 (1959), 113â124. MR 105624, DOI 10.2748/tmj/1178244632
Additional Information
- Journal: Bull. Amer. Math. Soc. 74 (1968), 228-232
- DOI: https://doi.org/10.1090/S0002-9904-1968-11898-1
- MathSciNet review: 0221294