Reflexivity of extensions of subnormal operators by algebraic operators

DOI10.1016/J.JFA.2009.12.010zbMath1183.47013OpenAlexW2060820910MaRDI QIDQ961494

Khalid Elhachimi, Omar El-Fallah, M'hammed Benlarbi Delai

Publication date: 31 March 2010

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2009.12.010

zbMATH Keywords

invariant subspacessubnormal operatorbounded point evaluationreflexive operatoralgebraic operatorSarason decomposition

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Invariant subspaces of linear operators (47A15) Dilations, extensions, compressions of linear operators (47A20)

Cites Work

• Reflexivity of extensions of a normal operator by a nilpotent operator
• Algebras of subnormal operators
• Invariant subspaces of a nilpotent operator on a Banach space.
• Reflexive linear transformations
• Reflexivity of subnormal operators
• Reflexive binormal operators
• Invariant subspaces and unstarred operator algebras
• Weak-star density of polynomials.
• Approximation in the mean by polynomials
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