On operators satisfying \(T^*|T^{2}|T \geq T^*|T^*|^{2}T\)

DOI10.1007/s10114-010-9093-4zbMath1221.47039OpenAlexW1976869744MaRDI QIDQ627599

Fei Zuo, Jun Li Shen, Chang Sen Yang

Publication date: 2 March 2011

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-010-9093-4

zbMATH Keywords

\(\alpha\)-Browder's theoremclass \(l-*-A\)joint point spectrumnormal point spectrum

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Subnormal operators, hyponormal operators, etc. (47B20)

Related Items (9)

Unnamed Item ⋮ On \((n,k)\)-quasi-\(*\)-paranormal operators ⋮ Unnamed Item ⋮ Tensor products and the spectral continuity for \(k\)-quasi-\(\ast\)-class A operators ⋮ On operators satisfying an inequality ⋮ A note on \(k\)-quasi-\(\ast \)-paranormal operators ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The \(k\)-quasi-\(\ast\)-class \(\mathcal A\) contractions have property PF

Cites Work

• Riesz idempotent and Weyl's theorem for \(w\)-hyponormal operators
• Operators with finite ascent
• Inequalities of Putnam and Berger-Shaw for \(p\)-quasihyponormal operators
• Operators which do not have the single valued extension property
• Isolated point of spectrum of \(p\)-hyponormal, log-hyponormal operators.
• Binormal operator and *-Aluthge transformation
• Quasi-similar \(p\)-hyponormal operators
• Approximate point spectrum and commuting compact perturbations
• Tensor products of operators—strong stability and p-hyponormality
• Invertible completions of $2\times 2$ upper triangular operator matrices
• On p-quasihyponormal operators and quasisimilarity
• Isolated point of spectrum of \(p\)-quasihyponormal operators
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