Reflexivity properties of \(T \bigoplus O\)

DOI10.1016/0022-1236(90)90058-SzbMath0738.47045MaRDI QIDQ1813942

Warren R. Wogen, David R. Larson

Publication date: 25 June 1992

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

zbMATH Keywords

direct sumreflexive operatorbitriangular operatorsdirect-sum splitting of operator algebrasparareflexivity

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) Invariant subspaces of linear operators (47A15) Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators (47A66)

Related Items (15)

Spectral synthesis in Hilbert spaces of entire functions ⋮ Summation methods for Fourier series with respect to the Azoff-Shehada system ⋮ Compressions, graphs, and hyperreflexivity ⋮ On consistent operators and reflexivity ⋮ Counterexamples Concerning Bitriangular Operators ⋮ Tensor products of subspace lattices and rank one density ⋮ Reflexivity of Tensor Products of Linear Transformations ⋮ Reflexivity of extensions of a normal operator by a nilpotent operator ⋮ Generalizations of Certain Nest Algebra Results ⋮ Rank one subspaces of bimodules over maximal abelian selfadjoint algebras ⋮ REFLEXIVITY OF THE TRANSLATION-DILATION ALGEBRAS ON L²(ℝ) ⋮ On the k point density problem for band-diagonal M-bases ⋮ Separating vectors for operators ⋮ Spectral synthesis in de Branges spaces ⋮ On some algebras diagonalized by \(M\)-bases of \(\ell^ 2\)

Cites Work

• Some invariant subspaces for subnormal operators
• The Jordan form of a bitriangular operator
• Invariant subspaces, dilation theory, and the structure of the predual of a dual algebra. I
• Some counterexamples in nonselfadjoint algebras
• Algebras of subnormal operators
• Reflexive linear transformations
• On finite rank operators and preannihilators
• Operators Quasisimilar to a Normal Operator
• On Direct Sums of Reflexive Operators
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Reflexivity properties of \(T \bigoplus O\)