A Reduction Theory For Non-Self-Adjoint Operator Algebras

DOI10.2307/1997481zbMath0343.46046OpenAlexW4254280380MaRDI QIDQ4112480

Edward A. Azoff, Che-Kao Fong, Frank L. Gilfeather

Publication date: 1977

Full work available at URL: https://doi.org/10.2307/1997481

Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Abstract operator algebras on Hilbert spaces (47L30) Invariant subspaces of linear operators (47A15)

Related Items (7)

Isometric Dilations of Non-Commuting Finite Rank n-Tuples ⋮ On a generalization of the Jordan canonical form theorem on separable Hilbert spaces ⋮ The slice map problem and approximation properties ⋮ On the Relative Reflexivity of Finitely Generated Modules of Operators ⋮ A General View of Reflexivity ⋮ Invariant subspaces of operator algebras ⋮ Nest-subalgebras of von Neumann algebras

Cites Work

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• K-reflexivity in finite dimensional spaces
• The Borel space of von Neumann algebras on a separable Hilbert space
• Invariant subspaces and unstarred operator algebras
• A density theorem for operator algebras
• On rings of operators. Reduction theory
• Unitary representation of locally compact groups. I
• Measurable choice and the invariant subspace problem
• Measurable relations
• A Sufficient Condition that an Operator Algebra be Self-Adjoint
• An equivalent formulation of the invariant subspace conjecture

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