The \(k\)-quasi-\(\ast\)-class \(\mathcal A\) contractions have property PF

DOI10.1186/1029-242X-2014-433zbMath1342.47032OpenAlexW2160119425WikidataQ59320177 ScholiaQ59320177MaRDI QIDQ2262881

Ilmi Hoxha, Naim L. Braha

Publication date: 16 March 2015

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2014-433

zbMATH Keywords

hypercyclic operatorsupercyclic operatorcontractionsWold-type decompositionFuglede-Putnam property\(k\)-quasi-\(*\)-class \(\mathcal A\)

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20)

Related Items (1)

Asymmetric Putnam-Fuglede theorem for \((n,k)\)-quasi-\(\ast\)-paranormal operators

Cites Work

• On Wold-type decomposition
• On quasi-class \(\mathcal A\) contractions
• On operators satisfying \(T^*|T^{2}|T \geq T^*|T^*|^{2}T\)
• On \(\ast\)-paranormal contractions and properties for \(\ast\)-class \(A\) operators
• On operators satisfying \(T^{*}|T^2|T\geq T^{*}|T|^{2}T\)
• On characterising contractions with \(C_{10}\) pure part
• Remarks on finitely hypercyclic and finitely supercyclic operators
• Proper contractions and invariant subspaces
• Contractions satisfying the absolute value property \(| A|^2\leq| A^2|\)
• \(c_ p\)
• Isolated points of spectrum of k-quasi-*-class A operators
• ON k-QUASI-CLASS A CONTRACTIONS
• On the class of paranormal operators
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