Approximate Unitary Equivalence of Continuous Nests

DOI10.2307/2045923zbMath0599.47066OpenAlexW4237407249MaRDI QIDQ3733599

Kenneth R. Davidson

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2045923

zbMATH Keywords

compact perturbationsapproximate unitary equivalencecontinuous nests of projections on a separable Hilbert space

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Classifications of (C^*)-algebras (46L35)

Related Items (6)

Isomorphisms modulo the compact operators of nest algebras. II ⋮ Factorization problems for nests: Factorization methods and characterizations of the universal factorization property ⋮ Idempotents in nest algebras ⋮ Invariant subspaces of operator algebras ⋮ Similarity of nests in \(L_1\) ⋮ On the \(K_ 0\) groups of nest algebras

Cites Work

• Unnamed Item
• Perturbation theory for groups and lattices
• Nest algebras and similarity transformations
• Compact perturbations of reflexive algebras
• Notes on extensions of \(C^*\)-algebras
• Similarity and compact perturbations of nest algebras.
• Triangular Operator Algebras: Fundamentals and Hyperreducible Theory
• A solution to a problem of J. R. Ringrose

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