A new topology for von Neumann algebras

Shields, Paul C.

doi:10.1090/S0002-9904-1959-10338-4

Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

A new topology for von Neumann algebras
HTML articles powered by AMS MathViewer

by Paul C. Shields PDF

Bull. Amer. Math. Soc. 65 (1959), 267-269

References

Richard Arens, Duality in linear spaces, Duke Math. J. 14 (1947), 787–794. MR 22651
J. Dixmier, Formes linéaires sur un anneau d’opérateurs, Bull. Soc. Math. France 81 (1953), 9–39 (French). MR 59485, DOI 10.24033/bsmf.1436
Irving Kaplansky, A theorem on rings of operators, Pacific J. Math. 1 (1951), 227–232. MR 50181, DOI 10.2140/pjm.1951.1.227
George W. Mackey, On convex topological linear spaces, Trans. Amer. Math. Soc. 60 (1946), 519–537. MR 20214, DOI 10.1090/S0002-9947-1946-0020214-4
L. Pukánszky, The theorem of Radon-Nikodym in operator-rings, Acta Sci. Math. (Szeged) 15 (1954), 149–156. MR 60157
Shôichirô Sakai, A characterization of $W^*$-algebras, Pacific J. Math. 6 (1956), 763–773. MR 84115, DOI 10.2140/pjm.1956.6.763
J. Von Neumann, On a certain topology for rings of operators, Ann. of Math. (2) 37 (1936), no. 1, 111–115. MR 1503274, DOI 10.2307/1968692

Additional Information

Journal: Bull. Amer. Math. Soc. 65 (1959), 267-269
DOI: https://doi.org/10.1090/S0002-9904-1959-10338-4
MathSciNet review: 0107192