Quasi-similarity of tuples with Bishop's property \((\beta{})\)

DOI10.1007/BF01203128zbMath0773.47011MaRDI QIDQ1803937

Mihai Putinar

Publication date: 29 June 1993

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

Bishop's property \((\beta)\)spectral invariance under quasi- similarity phenomenasubnormal and \(M\)-hyponormal operator

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Subnormal operators, hyponormal operators, etc. (47B20)

Related Items (17)

On operators satisfying T^*(T^*2 T^2)^p T ⩾ T^*(T^2 T^*2)^p T ⋮ On the essential spectrum of Banach-space operators ⋮ Essential spectral inclusions for operators on Banach spaces ⋮ \(p\)-quasihyponormal operators have scalar extensions of order 6 ⋮ On analytic roots of hyponormal operators ⋮ On operators which are power similar to hyponormal operators ⋮ On subscalarity of some \(2 \times 2\) class \(A\) operator matrices ⋮ Square roots of semihyponormal operators have scalar extensions. ⋮ Evaluation points for cyclic operators with Bishop's property (\(\beta\)) ⋮ Spectral inclusions for operators on Banach spaces ⋮ On the class of $k$-quasi-$(n,m)$-power normal operators ⋮ Subscalarity of \((p,k)\)-quasihyponormal operators ⋮ \(p\)-hyponormal operators satisfy Bishop's condition \({\beta}\) ⋮ Polaroid type operators under quasi-affinities ⋮ THE CLOSED RANGE PROPERTY FOR BANACH SPACE OPERATORS ⋮ The Kato-type spectrum and local spectral theory ⋮ Quasi-similar \(p\)-hyponormal operators

Cites Work

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• Equality of essential spectra of quasisimilar subnormal operators
• A duality theorem for an arbitrary operator
• Spectral theory and sheaf theory. II
• A joint spectrum for several commuting operators
• Equality of Spectra of Quasi-Similar Hyponormal Operators
• Analytical Functional Models and Local Spectral Theory

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