On Non-Self-Adjoint Operator Algebras

DOI10.2307/2047737zbMath0718.46020OpenAlexW4236625342MaRDI QIDQ5749816

Zhong-Jin Ruan, Edward G. Effros

Publication date: 1990

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/e4442c79d07c952e575d1367e640e806198204d6

zbMATH Keywords

non-selfadjoint operator algebrasArens' productscharacterization of M-ideals of a unital operator algebra as closed two-sided ideals with an approximate identityleft and right Arens' products coincide on \(A^{**}\)matricial cross-normsspatial tensor product norm

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Nonselfadjoint (sub)algebras in algebras with involution (46K50)

Related Items (16)

Logmodularity and isometries of operator algebras ⋮ Isomorphisms of function modules, and generalized approximation in modulus ⋮ Nonunital spectral triples and metric completeness in unbounded \(KK\)-theory ⋮ One-sided ideals and approximate identities in operator algebras ⋮ Semisimplicity of reflexive amenable operator algebras ⋮ Module maps on duals of Banach algebras and topological centre problems ⋮ Interpolation and duality in algebras of multipliers on the ball ⋮ Crossed Products of Operator Algebras ⋮ Fourier-Stieltjes algebra of a topological group ⋮ Quasi-multipliers and algebrizations of an operator space ⋮ \(M\)-ideals and quotients of subdiagonal algebras ⋮ On unilateral weighted shifts in noncommutative operator theory ⋮ The weak\(^*\) similarity property on dual operator algebras ⋮ Commutativity in Operator Algebras ⋮ Finite rank approximation and semidiscreteness for linear operators ⋮ Residually finite-dimensional operator algebras

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