A multiplicity theory for Boolean algebras of projections in Banach spaces

A multiplicity theory for Boolean algebras of projections in Banach spaces
HTML articles powered by AMS MathViewer

Trans. Amer. Math. Soc. 92 (1959), 508-530

DOI: https://doi.org/10.1090/S0002-9947-1959-0108729-0

PDF | Request permission

References

William G. Bade, Unbounded spectral operators, Pacific J. Math. 4 (1954), 373–392. MR 63566
William G. Bade, Weak and strong limits of spectral operators, Pacific J. Math. 4 (1954), 393–413. MR 63567
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
Jean Dieudonné, Sur la théorie spectrale, J. Math. Pures Appl. (9) 35 (1956), 175–187 (French). MR 77894
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
Nelson Dunford, Spectral operators, Pacific J. Math. 4 (1954), 321–354. MR 63563
Nelson Dunford and Jacob T. Schwartz, Linear operators. Part I, Wiley Classics Library, John Wiley & Sons, Inc., New York, 1988. General theory; With the assistance of William G. Bade and Robert G. Bartle; Reprint of the 1958 original; A Wiley-Interscience Publication. MR 1009162
Paul R. Halmos, Introduction to Hilbert Space and the theory of Spectral Multiplicity, Chelsea Publishing Co., New York, N. Y., 1951. MR 0045309
J. L. Kelley, Commutative operator algebras, Proc. Nat. Acad. Sci. U.S.A. 38 (1952), 598–605. MR 51440, DOI 10.1073/pnas.38.7.598

Commutative Banach algebras