Finite Rank Operators in Reflexive Operator Algebras

DOI10.1112/jlms/s2-27.2.331zbMath0488.47004OpenAlexW2071759731MaRDI QIDQ3949563

Alan Hopenwasser, Robert L. Moore

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1112/jlms/s2-27.2.331

zbMATH Keywords

completely distributive latticereflexive operator algebraalgebra of finite-rank operatorscommutative lattice of subspaces

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15)

Related Items (15)

Atomic lattices of subspaces of an arbitrary vector space and associated operator algebras ⋮ Operators in finite distributive subspace lattices, I ⋮ A Note on Rank-One Operators in Reflexive Algebras ⋮ Isomorphisms of certain CSL algebras ⋮ Rank decomposability in incident spaces ⋮ Operators in finite distributive subspace lattices. III ⋮ Kernel maps and operator decomposition ⋮ On finite rank operators in CSL algebras II ⋮ Isometries of certain reflexive operator algebras ⋮ A Note on Rank-One Operators in Reflexive Algebras ⋮ Decomposability of finite rank operators in certain subspaces and algebras ⋮ Generalizations of Certain Nest Algebra Results ⋮ Invariant subspaces of operator algebras ⋮ Decomposability of finite-rank operators in commutative subspace lattice algebras ⋮ Rank one subspaces of bimodules over maximal abelian selfadjoint algebras

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