The dual space of an operator algebra
HTML articles powered by AMS MathViewer
- by Charles A. Akemann
- Trans. Amer. Math. Soc. 126 (1967), 286-302
- DOI: https://doi.org/10.1090/S0002-9947-1967-0206732-8
- PDF | Request permission
References
- R. G. Bartle, N. Dunford, and J. Schwartz, Weak compactness and vector measures, Canadian J. Math. 7 (1955), 289–305. MR 70050, DOI 10.4153/CJM-1955-032-1
- Mahlon M. Day, Normed linear spaces, Reihe: Reelle Funktionen, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1958. MR 0094675
- Jacques Dixmier, Les algèbres d’opérateurs dans l’espace hilbertien (Algèbres de von Neumann), Cahiers Scientifiques, Fasc. XXV, Gauthier-Villars, Paris, 1957 (French). MR 0094722
- 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
- A. Grothendieck, Espaces vectoriels topologiques, Universidade de São Paulo, Instituto de Matemática Pura e Aplicada, São Paulo, 1954 (French). MR 0077884
- A. Grothendieck, Sur les applications linéaires faiblement compactes d’espaces du type $C(K)$, Canad. J. Math. 5 (1953), 129–173 (French). MR 58866, DOI 10.4153/cjm-1953-017-4
- Irving Kaplansky, The structure of certain operator algebras, Trans. Amer. Math. Soc. 70 (1951), 219–255. MR 42066, DOI 10.1090/S0002-9947-1951-0042066-0
- Irving Kaplansky, A theorem on rings of operators, Pacific J. Math. 1 (1951), 227–232. MR 50181
- R. S. Phillips, On linear transformations, Trans. Amer. Math. Soc. 48 (1940), 516–541. MR 4094, DOI 10.1090/S0002-9947-1940-0004094-3
- Shôichirô Sakai, A characterization of $W^*$-algebras, Pacific J. Math. 6 (1956), 763–773. MR 84115 —, The theory of ${W^\ast }$-algebras, Yale Notes, Yale University, New Haven, Conn., 1962. —, On topological properties of ${W^\ast }$-algebras, Proc. Japan Acad. 33 (1958), 439-444.
- Shôichirô Sakai, On topologies of finite $W^{\ast }$-algebras, Illinois J. Math. 9 (1965), 236–241. MR 174993
- Shôichirô Sakai, Weakly compact operators on operator algebras, Pacific J. Math. 14 (1964), 659–664. MR 163185
- Zirô Takeda, Conjugate spaces of operator algebras, Proc. Japan Acad. 30 (1954), 90–95. MR 63578
- Masamichi Takesaki, On the conjugate space of operator algebra, Tohoku Math. J. (2) 10 (1958), 194–203. MR 100799, DOI 10.2748/tmj/1178244713
- Masamichi Takesaki, On the singularity of a positive linear functional on operator algebra, Proc. Japan Acad. 35 (1959), 365–366. MR 113153
- Hisaharu Umegaki, Weak compactness in an operator space, K\B{o}dai Math. Sem. Rep. 8 (1956), 145–151. MR 87051
- Ti Yen, Trace on finite $AW^*$-algebras, Duke Math. J. 22 (1955), 207–222. MR 69404
Bibliographic Information
- © Copyright 1967 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 126 (1967), 286-302
- MSC: Primary 46.65
- DOI: https://doi.org/10.1090/S0002-9947-1967-0206732-8
- MathSciNet review: 0206732