References
Wm. Arveson, Subalgebras ofC *-algebras I and II, Acta Math.123 (1969), 141–224;128 (1972), 271–308
J. Bergh and J. Lofstrom, Interpolation spaces, Springer-Verlag Berlin Heidelberg New York (1970)
D.P. Blecher, Commutativity in operator algebras, Proc. Amer Math. Soc.109 (1990), 709–715
D.P. Blecher, The standard dual of an operator space, Pacific J. Math.153 (1992), 15–30
D.P. Blecher, Tensor products of operator spaces II, Canad. J. Math.44 (1992) 75–90
D.P. Blecher, Some applications of a recent characterization of operator algebras, In “Selfadjoint and Nonselfadjoint Operator Algebras and Operator Theory”, Ed. R.S. Doran, Contemp. Math. v. 120 AMS (1991)
D.P. Blecher, A generalization of Hilbert modules, To appear, J. Funct. Analysis
D.P. Blecher, Factorizations in universal operator spaces and algebras, To appear, Rocky Mountain Math. J.
D.P. Blecher and C. le Merdy, On quotients of function algebras, and operator algebra structures onl p, Preprint (1994)
D.P. Blecher, P.S. Muhly and V. Paulsen, Categories of operator modules: — Morita equivalence and projective modules I and II, Preprint (1994)
D. Blecher and V. Paulsen, Tensor products of operator spaces, J. Functional Anal.99 (1991), 262–292
D. Blecher and V. Paulsen, Explicit construction of universal operator algebras and an application to polynonial factorization, Proc. Amer. Math. Soc.112 (1991), 839–850
D. Blecher, Z-j. Ruan and A. Sinclair, A characterization of operator algebras, J. Functional Anal.89 (1990), 188–201
D. Blecher and R. Smith, The dual of the Haagerup tensor product, J. London Math. Soc.45 (1992), 126–144
F.F. Bonsall and J. Duncan, Complete normed algebras, Springer-Verlag, New York (1973)
J. Bourgain, Bilinear forms onH ∞ and bounded bialytic functions, Trans. Amer. Math. Soc.286 (1984), 313–337
T.K. Carne, Operator Algebras, Ecole Polytechnique Centre de Mathematiques, Expose No. XV, (1980)
E. Christensen, E. Effros and A. Sinclair, Completely bounded multilinear maps andC *-algebraic cohomology, Inv. Math.90 (1987), 279–296
E. Christensen and A. Sinclair, Representations of completely bounded multilinear operators, J. Functional Anal.72 (1987), 151–181
E. Christensen and A. Sinclair, A survey of completely bounded operators, Bull. London Math. Soc.21 (1989), 417–448
A.M. Davie, Quotient algebras of uniform algebras, J. London Math. Soc.7 (1973), 31–40
P.G. Dixon, A characterization of closed subalgebras ofB(H), Proc. Edinburgh Math. Soc.20 (1976/7), 215–217
P.G. Dixon, Varieties of Banach algebras, Quart. J. Math. Oxford27 (1976), 481–487
E. Effros, Advances in quantized functional analysis, Proc. ICM Berkeley, 1986
E. Effros and Z.-j. Ruan, A new approach to operator spaces, Bull. Canad. Math. Soc.34 (1991), 329–337
E. Effros and Z-j. Ruan, Self-duality for the Haagerup tensor product and Hilbert space factorization, J. Funct. Anal.100 (1991), 257–284
E. Effros and Z-j. Ruan, On the abstract characterization of operator spaces, Proc. Amer. Math. Soc.119 (1993), 579–584
E. Effros and Z-j. Ruan, Operator convolution algebras, an approach to quantum groups, Preprint (1991)
A. Grothendieck, Resume de la theorie metrique des produits tensoriels topologiques, Bull. Soc. Mat. Sao Paulo8 (1956), 1–79
M. Junge and G. Pisier, Exact operator spaces, Preprint (1993)
C. le Merdy, Factorizations ofp-completely bounded multilinear maps, Preprint (1993) To appear Pacific J. Math.
C. le Merdy, Representation of a quotient of a subalgebra ofB(X), Preprint (1994) To appear Math. Proc. Camb. Philos. Soc.
V. Paulsen, Completely bounded maps and dilations, Pitman Research Notes in Math., Longman, London, 1986
V. Paulsen, The maximal operator space of a normed space, Preprint (1994)
V. Paulsen and R. Smith, Multilinear maps and tensor norms on operator systems, J. Functional Anal.73 (1987), 258–276
G. Pisier, Factorization of linear operators and the geometry of Banach spaces, CBMS Series no. 60, A.M.S., Providence RI, 1986
G. Pisier, The operator Hilbert space OH, complex interpolation and tensor norms, Preprint (1992)
Y-t. Poon and Z-j. Ruan, Operator algebras with contractive approximate identities, Canad. J. Math.46 (1994), 397–414
S.C. Power, Non-self-adjoint operator algebras and inverse limits of simplicial complexes, J. fur der Reine und Angew. Math.421 (1991), 43–61
Z-j. Ruan, Subspaces ofC *-algebras, J. Functional Anal.76 (1988), 217–230
Z-j. Ruan, A characterization of non-unital operator algebras, Proc. Amer. Math. Soc.121 (1994), 193–198
A.M. Tonge, Banach algebras and absolutely summing operators, Math. Proc. Camb. Philos. Soc.80 (1976), 465–473
N.Th. Varopoulos, A theorem on operator algebras, Math. Scand.37 (1975), 173–182
N.Th. Varopoulos, Some remarks on Q-algebras, Ann. Inst. Fourier22 (1972), 1–11
Author information
Authors and Affiliations
Additional information
Supported by a grant from the NSF