Reflexive algebras with finite width lattices: Tensor products, cohomology, compact perturbations

DOI10.1016/0022-1236(84)90009-0zbMath0564.47021OpenAlexW2059523225MaRDI QIDQ1058125

Alan Hopenwasser, David R. Larson, Frank L. Gilfeather

Publication date: 1984

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(84)90009-0

zbMATH Keywords

Hochschild cohomologyCSL algebrasinvariant subspace latticeirreducible tridiagonal algebras with finite-width commutative latticesReflexive algebrasreflexive ortho-latticetensor product of nest algebrasTomita's tensor product commutation theorem

Mathematics Subject Classification ID

Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Abstract operator algebras on Hilbert spaces (47L30) Invariant subspaces of linear operators (47A15) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Tensor products in functional analysis (46M05)

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Cites Work

• Commutants of nest algebras modulo the compact operators
• The carrier space of a reflexive operator algebra
• Compact perturbations of reflexive algebras
• Operator algebras and invariant subspaces
• Hochschild cohomology and perturbations of Banach algebras
• Derivations of nest algebras
• An operator algebra which is not closed in the Calkin algebra
• Invariant subspace lattices and compact operators
• Operators commuting with a von Neumann algebra modulo the set of compact operators
• Cohomology of some non-selfadjoint operator algebras.
• Cohomology and Perturbations of Nest Algebras
• On Some Algebras of Operators
• Operators of Finite Rank in Nest Algebras
• Completely Distributive Complete Lattices
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