On the commutant of a complete Boolean algebra of projections
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- by H. R. Dowson PDF
- Proc. Amer. Math. Soc. 19 (1968), 1448-1452 Request permission
References
- William G. Bade, On Boolean algebras of projections and algebras of operators, Trans. Amer. Math. Soc. 80 (1955), 345–360. MR 73954, DOI 10.1090/S0002-9947-1955-0073954-0
- William G. Bade, A multiplicity theory for Boolean algebras of projections in Banach spaces, Trans. Amer. Math. Soc. 92 (1959), 508–530. MR 108729, DOI 10.1090/S0002-9947-1959-0108729-0
- Jean Dieudonné, Sur la bicommutante d’une algèbre d’opérateurs, Portugal. Math. 14 (1955), 35–38 (French). MR 78667
- Jean Dieudonné, Champs de vecteurs non localement triviaux, Arch. Math. (Basel) 7 (1956), 6–10 (French). MR 77895, DOI 10.1007/BF01900517
- Jacques Dixmier, Les moyennes invariantes dans les semi-groupes et leurs applications, Acta Sci. Math. (Szeged) 12 (1950), 213–227 (French). MR 37470 N. Dunford and J. T. Schwartz, Linear operators. I, Interscience, New York, 1958.
- S. R. Foguel, Boolean algebras of projections of finite multiplicity, Pacific J. Math. 9 (1959), 681–693. MR 108737 P. R. Halmos, Introduction to Hilbert space, Chelsea, New York, 1951.
- L. Tzafriri, On multiplicity theory for Boolean algabras of projections, Israel J. Math. 4 (1966), 217–224. MR 209888, DOI 10.1007/BF02771634
Additional Information
- © Copyright 1968 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 19 (1968), 1448-1452
- MSC: Primary 47.55
- DOI: https://doi.org/10.1090/S0002-9939-1968-0238125-8
- MathSciNet review: 0238125