A new topology for von Neumann algebras
Author:
Paul C. Shields
Journal:
Bull. Amer. Math. Soc. 65 (1959), 267-269
DOI:
https://doi.org/10.1090/S0002-9904-1959-10338-4
MathSciNet review:
0107192
Full-text PDF Free Access
References | Additional Information
- 1. Richard Arens, Duality in linear spaces, Duke Math. J. 14 (1947), 787–794. MR 22651
- 2. J. Dixmier, Formes linéaires sur un anneau d’opérateurs, Bull. Soc. Math. France 81 (1953), 9–39 (French). MR 59485
- 3. Irving Kaplansky, A theorem on rings of operators, Pacific J. Math. 1 (1951), 227–232. MR 50181
- 4. George W. Mackey, On convex topological linear spaces, Trans. Amer. Math. Soc. 60 (1946), 519–537. MR 20214, https://doi.org/10.1090/S0002-9947-1946-0020214-4
- 5. L. Pukánszky, The theorem of Radon-Nikodym in operator-rings, Acta Sci. Math. (Szeged) 15 (1954), 149–156. MR 60157
- 6. Shôichirô Sakai, A characterization of 𝑊*-algebras, Pacific J. Math. 6 (1956), 763–773. MR 84115
- 7. J. Von Neumann, On a certain topology for rings of operators, Ann. of Math. (2) 37 (1936), no. 1, 111–115. MR 1503274, https://doi.org/10.2307/1968692
Additional Information
DOI:
https://doi.org/10.1090/S0002-9904-1959-10338-4
