A Note on Rank-One Operators in Reflexive Algebras
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Publication:3326293
DOI10.2307/2044920zbMath0539.47027OpenAlexW4232471239MaRDI QIDQ3326293
Cecelia Laurie, William Ellison Longstaff
Publication date: 1983
Full work available at URL: https://doi.org/10.2307/2044920
lattice of invariant subspacesreflexive algebracomplete distributivitylattice of projections onto the invariant subspaces
Abstract operator algebras on Hilbert spaces (47L30) Invariant subspaces of linear operators (47A15)
Related Items (16)
Approximate unitary equivalence of completely distributive commutative subspace lattices ⋮ Crossed products of operator algebras: applications of Takai duality ⋮ Isomorphisms and generalized derivations of some algebras ⋮ Multiplicative generalized Lie n-derivations on completely distributive commutative subspace lattice algebras ⋮ A class of zero product determined Banach algebras ⋮ Jordan modules and Jordan ideals of reflexive algebras ⋮ Characterizations of \((m,n)\)-Jordan derivations and \((m,n)\)-Jordan derivable mappings on some algebras ⋮ Lie derivations of certain CSL algebras ⋮ Tensor products of $\sigma $-weakly closed nest algebra submodules ⋮ Isometries of CSL Algebras ⋮ Complete Distributivity and Ordered Group Lattices ⋮ Finite rank operators in Jacobson radical $$\mathcal{R}_{\mathcal{N} \otimes \mathcal{M}} $$ ⋮ Generalizations of Certain Nest Algebra Results ⋮ Invariant subspaces of operator algebras ⋮ Weak Limits of Projections and Compactness of Subspace Lattices ⋮ Local derivations on certain CSL algebras
Cites Work
- 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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