Semi-discreteness and dilation theory for nest algebras

DOI10.1016/0022-1236(88)90066-3zbMath0675.47042OpenAlexW1991883476MaRDI QIDQ1122124

Vern I. Paulsen, Joseph D. Ward, Stephen C. Power

Publication date: 1988

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(88)90066-3

zbMATH Keywords

order type\(\sigma\)-weakly continuous dilationArveson's dilation theoremcomplete contractivity of contractive representationscontractive \(\sigma\)-weakly continuous Hilbert space representation of a nest algebramultiplicity of the nestsemi-discreteness property for nest algebras relative to finite-dimensional nest algebrasspectral type

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) Dilations, extensions, compressions of linear operators (47A20)

Related Items (6)

Schur products and matrix completions ⋮ Commutant lifting and interpolation: The time-varying case ⋮ Problems about reflexive algebras ⋮ Representations of logmodular algebras ⋮ All the Infinite Nest Algebras are Isomorphic ⋮ Tensor products of non-self-adjoint operator algebras

Cites Work

• Schur products and matrix completions
• A commutant lifting theorem for triangular matrices with diverse applications
• Unitary invariants for nests
• Subalgebras of \(C^ *\)-algebras
• Representations of Non-Self-Adjoint Crossed Products
• Operators of Finite Rank in Nest Algebras
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