Injectivity and operator spaces

Journal of Functional Analysis - Tập 24 - Trang 156-209 - 1977
Man-Duen Choi1
1Department of Mathematics University of Toronto Toronto M5S 1A1 Canada

Tài liệu tham khảo

Alfsen, 1971 Arveson, 1969, Subalgebras of C∗-algebras, I, Acta Math., 123, 141, 10.1007/BF02392388 Arveson, 1972, Subalgebras of C∗-algebras, II, Acta Math., 128, 271, 10.1007/BF02392166 Bade, 1971, The Banach Space C(S), Aarhus University Lecture Notes Series No. 26 Berberian, 1967, On the closure of the numerical range of an operator, 18, 499 Bourbaki, 1955 Choi, 1972, Positive linear maps on C∗-algebras, Canad. J. Math., 24, 520, 10.4153/CJM-1972-044-5 Choi, 1974, A Schwarz inequality for positive linear maps on C∗-algebras, Illinois J. Math., 18, 565, 10.1215/ijm/1256051007 Choi, 1975, Completely positive linear maps on complex matrices, Linear Algebra and Appl., 10, 285, 10.1016/0024-3795(75)90075-0 Choquet, 1969, Vol. II Connes, 1973, Une classification des facteurs de type III, Ann. Sci. École Norm. Sup., 6, 133, 10.24033/asens.1247 Dixmier, 1969 Effros, 1972, Injective and tensor products for convex sets and C∗-algebras E. G. Effros and C. Lance, Tensor products of operator algebras, Advances in Math., to appear. Hakeda, 1967, On some extension property of von Neumann algebras, Tôhoku Math. J., 19, 315, 10.2748/tmj/1178243281 Halmos, 1958 Halmos, 1967 Hirschfield, 1972, Spectral characterization of finite-dimensional algebras, Indag. Math., 34, 19, 10.1016/1385-7258(72)90023-6 Hustad, 1974, Intersection properties of balls in complex Banach spaces whose duals are L1 spaces, Acta Math., 132, 283, 10.1007/BF02392118 Kadison, 1951, A representation theory for commutative topological algebra, Mem. Amer. Math. Soc., 7 Kadison, 1952, A generalized Schwarz inequality and algebraic invariants for C∗-algebras, Ann. of Math., 56, 494, 10.2307/1969657 Kadison, 1957, Unitary invariants for representations of operator algebras, Ann. of Math., 66, 304, 10.2307/1970002 Kaplansky, 1951, A theorem on rings of operators, Pacific J. Math., 1, 227, 10.2140/pjm.1951.1.227 Kelley, 1961 Lacey, 1974 Lance, 1973, On nuclear C∗-algebras, J. Functional Analysis, 12, 157, 10.1016/0022-1236(73)90021-9 Lance, 1976, Tensor products of nonunital C∗-algebras, J. London Math. Soc., 12, 160, 10.1112/jlms/s2-12.2.160 A. Lima, Intersection properties of balls and subspaces in Banach spaces, to appear. Loebl, 1974, Injective von Neumann algebras, 44, 46 Michael, 1966, Separable Banach spaces which admit Cn∞ approximations, Israel J. Math., 4, 189, 10.1007/BF02760077 Pedersen, 1972, Operator algebras with weakly closed abelian subalgebras, Bull. London Math. Soc., 4, 171, 10.1112/blms/4.2.171 Pedersen, 1973, The Radon-Nikodym theorem for von Neumann algebras, Acta Math., 130, 53, 10.1007/BF02392262 Powers, 1974, Self-adjoint algebras of unbounded operators, II, Trans. Amer. Math. Soc., 187, 261 Russo, 1966, A note on unitary operators in C∗-algebras, Duke Math. J., 33, 413, 10.1215/S0012-7094-66-03346-1 Sakai, 1956, A characterization of W∗-algebras, Pacific J. Math., 6, 763, 10.2140/pjm.1956.6.763 Sakai, 1970, On the Stone-Weierstrass theorem of C∗-algebras, Tôhoku Math. J., 22, 191, 10.2748/tmj/1178242812 Schwartz, 1963, Two finite, hyperfinite, non-isomorphic factors, Comm. Pure Appl. Math., 16, 19, 10.1002/cpa.3160160104 Stinespring, 1955, Positive functions on C∗-algebras, 6, 211 Størmer, 1974, Positive Linear Maps of C∗-Algebras, Vol. 29, 85 Šmul'jan, 1959, An operator Hellinger integral, Mat. Sb., 91, 381 Takesaki, 1958, On the conjugate space of operator algebra, Tôhoku Math. J., 10, 194, 10.2748/tmj/1178244713 Tomiyama, 1957, On the projection of norm one in W∗-algebras, 33, 608 Tomiyama, 1970, Tensor products and projections of norm one in von Neumann algebras Connes, 1976, Classification of injective factors, Ann. of Math., 104, 73, 10.2307/1971057 M. D. Choi and E. G. Effros, Nuclear C∗-algebras and injectivity: the general case, Indiana Univ. Math. J., to appear. S. Wasserman, On tensor products of certain group C∗-algebras, to appear.