A Note on Rank-One Operators in Reflexive Algebras

DOI10.2307/2044920zbMath0569.47009OpenAlexW4232471239MaRDI QIDQ3687255

Cecelia Laurie, William Ellison Longstaff

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/2044920

zbMATH Keywords

reflexive algebrainvariant subspace latticecommutative and completely distributive

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) Invariant subspaces of linear operators (47A15)

Related Items (15)

Atomic lattices of subspaces of an arbitrary vector space and associated operator algebras ⋮ Isomorphisms of certain CSL algebras ⋮ Derivations of CDC algebras ⋮ Lie isomorphisms of reflexive algebras ⋮ Nonlinear generalized semi-Jordan triple derivable mappings on completely distributive commutative subspace lattice algebras ⋮ Local derivations and local automorphisms. ⋮ Rank-one operators in reflexive one-sided \(\mathcal A\)-submodules ⋮ Problems about reflexive algebras ⋮ Isometries of certain reflexive operator algebras ⋮ The slice map problem and approximation properties ⋮ Rank one operators and bimodules of reflexive operator algebras in Banach spaces ⋮ Derivations on FCIN algebras ⋮ Rank one subspaces of bimodules over maximal abelian selfadjoint algebras ⋮ Compact operators, invariant subspaces, and spectral synthesis ⋮ On the k point density problem for band-diagonal M-bases

Cites Work

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• Operator algebras and invariant subspaces
• Completely distributive latices
• Approximants, Commutants and Double Commutants in Normed Algebras
• Finite Rank Operators in Reflexive Operator Algebras
• Strongly Reflexive Lattices
• Operators of Rank One in Reflexive Algebras
• Operators of Finite Rank in Nest Algebras

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