A completely bounded characterization of operator algebras

DOI10.1007/BF01460988zbMath0892.47048MaRDI QIDQ1907189

David P. Blecher

Publication date: 12 February 1996

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165366

zbMATH Keywords

completely boundedoperator spaceoperator algebra

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Representations of topological algebras (46H15) Nonselfadjoint (sub)algebras in algebras with involution (46K50)

Related Items

The “maximal” tensor product of operator spaces, The minimal operator module of a Banach module, Projective modules in classical and quantum functional analysis, Factorizations in universal operator spaces and algebras, Quantitative \(K\)-theory for Banach algebras, Some Beurling–Fourier algebras on compact groups are operator algebras, A theorem for random Fourier series on compact quantum groups, A Serre-Swan theorem for bundles of bounded geometry, Spectral flow and the unbounded Kasparov product, \(p\)-Fourier algebras on compact groups, Mapping ideals of quantum group multipliers, Quasi-multipliers of operator spaces, CO-REPRESENTATIONS OF HOPF–VON NEUMANN ALGEBRAS ON OPERATOR SPACES OTHER THAN COLUMN HILBERT SPACE, Ideals of a \(C^{*}\)-algebra generated by an operator algebra, Amalgamated direct sums of operator spaces, A global dimension theorem for quantized Banach algebras, Relative Yoneda cohomology for operator spaces, Quotients of Fourier algebras, and representations which are not completely bounded, Applications of operator spaces to abstract harmonic analysis.

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