On quasi-class \(\mathcal A\) contractions

DOI10.1016/J.LAA.2011.12.026zbMath1276.47027OpenAlexW2157499807MaRDI QIDQ417492

J. Herrera, H. S. Yoon

Publication date: 14 May 2012

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2011.12.026

zbMATH Keywords

proper contractionquasi-class \(\mathcal A\) contractionquasi-class \(\mathcal A\) operatorquasi-similarunitarily equivalent

Mathematics Subject Classification ID

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

Related Items (3)

Upper triangular matrix operators with diagonal \((T_1,T_2)\), \(T_2\) \(k\)-nilpotent ⋮ The \(k\)-quasi-\(\ast\)-class \(\mathcal A\) contractions have property PF ⋮ ON k-QUASI-CLASS A CONTRACTIONS

Cites Work

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• Three test problems in operator theory
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• On operators satisfying \(T^{*}|T^2|T\geq T^{*}|T|^{2}T\)
• On characterising contractions with \(C_{10}\) pure part
• Proper contractions and invariant subspaces
• Contractions satisfying the absolute value property \(| A|^2\leq| A^2|\)
• Hyponormal Operators Quasisimilar to an Isometry
• Subnormal Operators Quasisimilar to an Isometry
• Asymptotic intertwining and spectral inclusions on Banach spaces

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