Theory of operators, Part II. operator algebras
HTML articles powered by AMS MathViewer
- by Richard V. Kadison PDF
- Bull. Amer. Math. Soc. 64 (1958), 61-85
References
-
1. J. Dixmier, Les algèbres d’opérateurs dans ľespace Hilbertien, Paris, 1957.
- Jacques Dixmier, Sur les anneaux d’opérateurs dans les espaces hilbertiens, C. R. Acad. Sci. Paris 238 (1954), 439–441 (French). MR 60747
- H. A. Dye, The Radon-Nikodým theorem for finite rings of operators, Trans. Amer. Math. Soc. 72 (1952), 243–280. MR 45954, DOI 10.1090/S0002-9947-1952-0045954-5
- H. A. Dye, The unitary structure in finite rings of operators, Duke Math. J. 20 (1953), 55–69. MR 52695
- Kurt Friedrichs, Spektraltheorie halbbeschränkter Operatoren und Anwendung auf die Spektralzerlegung von Differentialoperatoren, Math. Ann. 109 (1934), no. 1, 465–487 (German). MR 1512905, DOI 10.1007/BF01449150
- I. Gelfand and M. Neumark, On the imbedding of normed rings into the ring of operators in Hilbert space, Rec. Math. [Mat. Sbornik] N.S. 12(54) (1943), 197–213 (English, with Russian summary). MR 0009426
- Ernest L. Griffin Jr., Some contributions to the theory of rings of operators, Trans. Amer. Math. Soc. 75 (1953), 471–504. MR 59487, DOI 10.1090/S0002-9947-1953-0059487-4
- Ernest L. Griffin Jr., Some contributions to the theory of rings of operators. II, Trans. Amer. Math. Soc. 79 (1955), 389–400. MR 70988, DOI 10.1090/S0002-9947-1955-0070988-7
- Richard V. Kadison, On the additivity of the trace in finite factors, Proc. Nat. Acad. Sci. U.S.A. 41 (1955), 385–387. MR 69402, DOI 10.1073/pnas.41.6.385
- R. V. Kadison, Isomorphisms of factors of infinite type, Canadian J. Math. 7 (1955), 322–327. MR 71746, DOI 10.4153/CJM-1955-035-3
- Richard V. Kadison, Unitary invariants for representations of operator algebras, Ann. of Math. (2) 66 (1957), 304–379. MR 89378, DOI 10.2307/1970002
- 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
- I. Kaplansky, Quelques résultats sur les anneaux d’opérateurs, C. R. Acad. Sci. Paris 231 (1950), 485–486 (French). MR 36934
- Irving Kaplansky, Projections in Banach algebras, Ann. of Math. (2) 53 (1951), 235–249. MR 42067, DOI 10.2307/1969540
- Irving Kaplansky, Algebras of type $\textrm {I}$, Ann. of Math. (2) 56 (1952), 460–472. MR 50182, DOI 10.2307/1969654
- F. I. Mautner, Unitary representations of locally compact groups. I, Ann. of Math. (2) 51 (1950), 1–25. MR 32650, DOI 10.2307/1969494
- F. J. Murray and J. Von Neumann, On rings of operators, Ann. of Math. (2) 37 (1936), no. 1, 116–229. MR 1503275, DOI 10.2307/1968693
- F. J. Murray and J. von Neumann, On rings of operators. II, Trans. Amer. Math. Soc. 41 (1937), no. 2, 208–248. MR 1501899, DOI 10.1090/S0002-9947-1937-1501899-4
- F. J. Murray and J. von Neumann, On rings of operators. IV, Ann. of Math. (2) 44 (1943), 716–808. MR 9096, DOI 10.2307/1969107 20. J. von Neumann, Zur Algebra der Funktionaloperatoren und Theorie der normalen Operatoren, Math. Ann. vol. 102 (1929) pp. 370-427.
- J. von Neumann, Über Funktionen von Funktionaloperatoren, Ann. of Math. (2) 32 (1931), no. 2, 191–226 (German). MR 1502991, DOI 10.2307/1968185
- J. v. Neumann, On rings of operators. III, Ann. of Math. (2) 41 (1940), 94–161. MR 898, DOI 10.2307/1968823
- J. von Neumann, On infinite direct products, Compositio Math. 6 (1939), 1–77. MR 1557013
- John von Neumann, On rings of operators. Reduction theory, Ann. of Math. (2) 50 (1949), 401–485. MR 29101, DOI 10.2307/1969463
- John von Neumann, On some algebraical properties of operator rings, Ann. of Math. (2) 44 (1943), 709–715. MR 9095, DOI 10.2307/1969106 26. J. von Neumann, On an algebraic generalization of the quantum mechanical formalism I, Rec. Mat. (Mat. Sbornik )N.S. vol. 1 (1936) pp. 415-484.
- Robert Pallu de La Barrière, Sur les algèbres d’opérateurs dans les espaces hilbertiens, Bull. Soc. Math. France 82 (1954), 1–52 (French). MR 65822, DOI 10.24033/bsmf.1445
- L. Pukánszky, Some examples of factors, Publ. Math. Debrecen 4 (1956), 135–156. MR 80894
- C. E. Rickart, Banach algebras with an adjoint operation, Ann. of Math. (2) 47 (1946), 528–550. MR 17474, DOI 10.2307/1969091
- I. E. Segal, A non-commutative extension of abstract integration, Ann. of Math. (2) 57 (1953), 401–457. MR 54864, DOI 10.2307/1969729
Additional Information
- Journal: Bull. Amer. Math. Soc. 64 (1958), 61-85
- DOI: https://doi.org/10.1090/S0002-9904-1958-10196-2
- MathSciNet review: 0097298