A Dense Set of Operators with Tiny Commutants

DOI10.2307/2001838zbMath0675.41050OpenAlexW4235776678MaRDI QIDQ3829977

Domingo A. Herrero

Publication date: 1991

Full work available at URL: https://doi.org/10.2307/2001838

zbMATH Keywords

weak closuresemi-Fredholm operatorHilbert space operatortiny commutant

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by positive operators (41A36) Linear operators in algebras (47C05)

Related Items (2)

Extensions of normal operators ⋮ Filling in the holes of the semi-Fredholm domain.

Cites Work

• Perturbation theory for nullity, deficiency and other quantities of linear operators
• Limits of strongly irreducible operators, and the Riesz decomposition theorem
• On cyclicity of commutants
• On multicyclic operators
• On models for linear operators
• A Metatheorem on Similarity and Approximation of Operators
• Analytically Invariant and Bi-Invariant Subspaces
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