Analytic extension of n-normal operators

DOI10.7153/oam-2021-15-41zbMath1482.47034OpenAlexW3175450934MaRDI QIDQ5862843

Salah Mecheri

Publication date: 10 March 2022

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/oam-2021-15-41

zbMATH Keywords

invariant subspacehyperinvariant subspacesubscalar operator\(n\)-power normal operator

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Subnormal operators, hyponormal operators, etc. (47B20) Invariant subspaces of linear operators (47A15) Local spectral properties of linear operators (47A11)

Related Items (2)

On p-quasi-n-hyponormal operators ⋮ On two natural extensions of \(n\)-normality

Cites Work

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• On the operator equation \(BX - XA = Q\)
• Hyponormal operators with thick spectra have invariant subspaces
• Invariant subspaces for subscalar operators
• Lectures on hyponormal operators
• The commutant lifting approach to interpolation problems
• Subscalarity, invariant, and hyperinvariant subspaces for upper triangular operator matrices
• Hypercyclic and cyclic vectors
• Analytically class A operators and Weyl's theorem
• On Invertible Hypercyclic Operators
• On Majorization and Normality of Operators
• Invertible completions of $2\times 2$ upper triangular operator matrices
• Algebraic and Triangular n-Hyponormal Operators
• Bishop's property (β), hypercyclicity and hyperinvariant subspaces
• Spectral properties of n-normal operators
• Remarks on n-normal operators

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