Quasisimilarity of hyponormal and subdecomposable operators

DOI10.1006/JFAN.1993.1030zbMath0795.47015OpenAlexW2080304609MaRDI QIDQ1207146

Liming Yang

Publication date: 2 May 1993

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

Full work available at URL: https://doi.org/10.1006/jfan.1993.1030

zbMATH Keywords

subdecomposable operatoressential spectra of two quasisimilar (\(M\)-) hyponormal operators coincideoperator without eigenvaluespurely hyponormal operator

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Subnormal operators, hyponormal operators, etc. (47B20) Abstract operator algebras on Hilbert spaces (47L30) Structure theory of linear operators (47A65) Canonical models for contractions and nonselfadjoint linear operators (47A45) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

Related Items (12)

On the essential spectrum of Banach-space operators ⋮ Essential spectral inclusions for operators on Banach spaces ⋮ The Weyl spectrum of \(p\)-hyponormal operators ⋮ Equality of essential spectra of quasisimilar operators with property (δ) ⋮ Evaluation points for cyclic operators with Bishop's property (\(\beta\)) ⋮ Spectral inclusions for operators on Banach spaces ⋮ Essential spectra of quasisimilar \((p,k)\)-quasihyponormal operators ⋮ \(p\)-hyponormal operators satisfy Bishop's condition \({\beta}\) ⋮ Fuglede-Putnam theorem and quasisimilarity of class p-wA(s,t) operators ⋮ Quasi-similar \(p\)-hyponormal operators ⋮ Fuglede-Putnam-type theorems for the extensions of \(M\)-hyponormal operators ⋮ On the functional calculus for subnormal operators

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