Gaps of operators via rank-one perturbations

DOI10.1016/J.JMAA.2010.11.026zbMath1208.47022OpenAlexW1999943867MaRDI QIDQ624617

Mi Ryeong Lee, Il Bong Jung, George R. Exner, Eun-Young Lee

Publication date: 9 February 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.11.026

zbMATH Keywords

\(p\)-hyponormal operatorsrank-one perturbation\(p\)-paranormal operatorsabsolute-\(p\)-paranormal operators

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Perturbation theory of linear operators (47A55)

Related Items (2)

Hyponormality of finite rank perturbations of normal operators ⋮ Rank-one perturbation of weighted shifts on a directed tree: partial normality and weak hyponormality

Uses Software

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Cites Work

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• Spectral theory of hyponormal operators
• Block matrix operators and weak hyponormalities
• Recursively generated weighted shifts and the subnormal completion problem
• Gaps of operators
• Relations between two inequalities \((B^{\frac r2} A^p B^{\frac r2})^{\frac r{p+r}}\geq B^r\) and \(A^p\geq(A^{\frac p2} B^r A^{\frac p2})^{\frac p{p+r}}\) and their applications
• Composition operators with weak hyponormality
• On rank-one perturbations of normal operators
• \(\lambda\)-Aluthge transforms and Schatten ideals
• GAPS OF OPERATORS, II
• On rank-one perturbations of normal operators, II
• Rank-one perturbations of diagonal operators

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