Common properties of operators \(RS\) and \(SR\) and \(p\)-hyponormal operators

DOI10.1007/BF01255566zbMath1015.47018MaRDI QIDQ698274

Chen Lin, Zikun Yan, Yingbin Ruan

Publication date: 5 August 2003

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

zbMATH Keywords

invariant subspace\(p\)-hyponormal operatorsbounded linear operatorspectral structuregeneralized Aluthge transformationlog-hyponormal operatorsubdecomposable operator

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Subnormal operators, hyponormal operators, etc. (47B20) Invariant subspaces of linear operators (47A15) Positive linear operators and order-bounded operators (47B65)

Related Items (15)

Spectral properties of the operators \(AB\) and \(BA\) ⋮ On \(p\)-quasi-hyponormal operators ⋮ New results on common properties of bounded linear operators \(RS\) and \(SR\) ⋮ Common properties of the operator products in local spectral theory ⋮ On the Dunford property \((C)\) for bounded linear operators \(RS\) and \(SR\) ⋮ Spectral pictures of 𝐴𝐵 and 𝐵𝐴 ⋮ Recent progress on local spectrum-preserving maps ⋮ New extensions of Jacobson's lemma and Cline's formula ⋮ New extensions of Cline’s formula for generalized inverses ⋮ Common properties of bounded linear operators AC and BA: Spectral theory ⋮ \(\mathcal{J}\)-selfadjoint Krein space operators and Aluthge transforms ⋮ On Drazin spectral equation for the operator products ⋮ Totally hereditarily normaloid operators and Weyl's theorem for an elementary operator ⋮ Common properties of bounded linear operators \(AC\) and \(BA\): local spectral theory ⋮ New results on common properties of the products \(AC\) and \(BA\)

Cites Work

• A decomposable Hilbert space operator which is not strongly decomposable
• Invariant subspaces for operators with Bishop's property \((\beta{})\) and thick spectrum
• On log-hyponormal operators
• Quasi-similar \(p\)-hyponormal operators
• On p-hyponormal operators for \(0<p<1\)
• The p-Hyponormality of The Aluthge Transform.
• The Single-Valued Extension Property and Spectral Manifolds
• A note on $p$-hyponormal operators
• Common operator properties of the linear operators 𝑅𝑆 and 𝑆𝑅
• Bishop’s property ($\beta $) and essential spectra of quasisimilar operators
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