Weak Limits of Projections and Compactness of Subspace Lattices

DOI10.2307/2000729zbMath0668.47035OpenAlexW4232153461MaRDI QIDQ3821169

Bruce H. Wagner

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2000729

zbMATH Keywords

compact operatorssemi-invariantcompact in the strong operator topologyexamples of non-compact latticesnon-compactness of a commutative subspace latticestrongly closed lattice of subspacestensor products of CSL'sweak limits of projections

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) Invariant subspaces of linear operators (47A15) Inner product spaces and their generalizations, Hilbert spaces (46C99)

Related Items (4)

Approximate unitary equivalence of completely distributive commutative subspace lattices ⋮ Problems about reflexive algebras ⋮ Compact Perturbations of Certain CSL Algebras ⋮ The Jacobson Radical of a CSL Algebra

Cites Work

• Perturbation theory for groups and lattices
• Reflexive algebras with finite width lattices: Tensor products, cohomology, compact perturbations
• Nest algebras and similarity transformations
• Compact perturbations of reflexive algebras
• Operator algebras and invariant subspaces
• Subalgebras of \(C^ *\)-algebras
• Subalgebras of C\(^*\)-algebras. II
• Similarity and compact perturbations of nest algebras.
• A Note on Rank-One Operators in Reflexive Algebras
• Complete Distributivity and Ordered Group Lattices
• Approximants, Commutants and Double Commutants in Normed Algebras
• Produits tensoriels infinis et représentations des relations d'anticommutation
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