Reflexivity of extensions of a normal operator by a nilpotent operator

DOI10.1016/j.jfa.2004.12.012zbMath1064.47007OpenAlexW2085178033MaRDI QIDQ557575

M'hammed Benlarbi Delai, Omar El-Fallah

Publication date: 30 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2004.12.012

zbMATH Keywords

defect of reflexivityreflexivity of extensions

Mathematics Subject Classification ID

Dilations, extensions, compressions of linear operators (47A20)

Related Items

Reflexivity defect of spaces of linear operators, Reflexivity of extensions of subnormal operators by algebraic operators

Cites Work

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• Some counterexamples in nonselfadjoint algebras
• Invariant subspaces of a nilpotent operator on a Banach space.
• Reflexive linear transformations
• Description of AlgLat \(A\) for an algebraic operator \(A\)
• Reflexivity of subnormal operators
• Reflexive binormal operators
• Description of \(\operatorname {AlgLat}T/W(T)\) for certain extensions of selfadjoint operators
• Reflexivity properties of \(T \bigoplus O\)
• Extensions of selfadjoint operators and defect of reflexivity
• Invariant subspaces and unstarred operator algebras
• Weak-star density of polynomials.