Note on a theorem of Fuglede and Putnam
HTML articles powered by AMS MathViewer
- by S. K. Berberian PDF
- Proc. Amer. Math. Soc. 10 (1959), 175-182 Request permission
References
- S. K. Berberian, The regular ring of a finite $AW^*$-algebra, Ann. of Math. (2) 65 (1957), 224–240. MR 84743, DOI 10.2307/1969959
- S. K. Berberian, $N\times N$ matrices over an $AW^{\ast }$-algebra, Amer. J. Math. 80 (1958), 37–44. MR 98329, DOI 10.2307/2372820
- Bent Fuglede, A commutativity theorem for normal operators, Proc. Nat. Acad. Sci. U.S.A. 36 (1950), 35–40. MR 32944, DOI 10.1073/pnas.36.1.35
- Erhard Heinz, Beiträge zur Störungstheorie der Spektralzerlegung, Math. Ann. 123 (1951), 415–438 (German). MR 44747, DOI 10.1007/BF02054965
- Irving Kaplansky, Projections in Banach algebras, Ann. of Math. (2) 53 (1951), 235–249. MR 42067, DOI 10.2307/1969540 —, Rings of operators, University of Chicago mimeographed notes, 1955.
- Lynn H. Loomis, An introduction to abstract harmonic analysis, D. Van Nostrand Co., Inc., Toronto-New York-London, 1953. MR 0054173
- Tôzirô Ogasawara and Kyôichi Yoshinaga, Extension of $\natural$-application to unbounded operators, J. Sci. Hiroshima Univ. Ser. A 19 (1955), 273–299. MR 79631
- C. R. Putnam, On normal operators in Hilbert space, Amer. J. Math. 73 (1951), 357–362. MR 40585, DOI 10.2307/2372180
- M. Rosenblum, On a theorem of Fuglede and Putnam, J. London Math. Soc. 33 (1958), 376–377. MR 99598, DOI 10.1112/jlms/s1-33.3.376
Additional Information
- © Copyright 1959 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 10 (1959), 175-182
- MSC: Primary 46.00
- DOI: https://doi.org/10.1090/S0002-9939-1959-0107826-9
- MathSciNet review: 0107826