Contractions without non-trivial invariant subspaces satisfying a positivity condition

DOI10.1186/s13660-016-1058-4zbMath1341.47025OpenAlexW2339992334WikidataQ59437085 ScholiaQ59437085MaRDI QIDQ280147

In Hyoun Kim, In Ho Jeon, Bhaggy Duggal

Publication date: 29 April 2016

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

Full work available at URL: https://doi.org/10.1186/s13660-016-1058-4

zbMATH Keywords

contractionstrongly stable\(\mathcal{P}(n)\) operatorclass \(\mathcal{A}(*-n)\) operatorclass \(\mathcal{A}(n)\) operatorclass \(\mathcal{P}(*-n)\) operatorproper contraction

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Invariant subspaces of linear operators (47A15)

Cites Work

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• Proper contractions and invariant subspaces
• 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
• Contractions satisfying the absolute value property \(| A|^2\leq| A^2|\)
• Weyl spectrum of class \(A(n)\) and \(n\)-paranormal operators
• Quasinilpotent Part of class A or (p, k)-quasihyponormal Operators
• PARANORMAL CONTRACTIONS AND INVARIANT SUBSPACES
• Several properties on class A including p-hyponormal and log-hyponormal operators

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