Some contributions to the theory of rings of operators

Griffin, Ernest L.

doi:10.1090/S0002-9947-1953-0059487-4

Some contributions to the theory of rings of operators

Author: Ernest L. Griffin
Journal: Trans. Amer. Math. Soc. 75 (1953), 471-504
MSC: Primary 46.3X
DOI: https://doi.org/10.1090/S0002-9947-1953-0059487-4
MathSciNet review: 0059487
Full-text PDF Free Access

J. Dixmier, Les anneaux d’opérateurs de classe finie, Ann. Sci. École Norm. Sup. (3) 66 (1949), 209–261 (French). MR 0032940

H. A. Dye, Radon-Nikodým theorems for operator algebras, Thesis, University of Chicago, 1950.

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 https://doi.org/10.2307/1969540
F. J. Murray and J. Von Neumann, On rings of operators, Ann. of Math. (2) 37 (1936), no. 1, 116–229. MR 1503275, DOI https://doi.org/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 https://doi.org/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 https://doi.org/10.2307/1969107
John von Neumann, On some algebraical properties of operator rings, Ann. of Math. (2) 44 (1943), 709–715. MR 9095, DOI https://doi.org/10.2307/1969106

I. E. Segal, Decompositions of operator algebras. II, Memoirs of the American Mathematical Society, no. 9.