A Fuglede-Putnam property for \(N\)-class \(A(k)\) operators

DOI10.3934/math.2020477zbMath1484.47002OpenAlexW3088392809MaRDI QIDQ2132303

Ahmed Bachir, Durairaj Senthilkumar, Nawal Ali Sayyaf

Publication date: 27 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2020477

zbMATH Keywords

hyponormal operatorrange-kernel orthogonality\(\mathcal{Y}\) class operator\(N\)-class \(A(k)\)-operator

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Commutators, derivations, elementary operators, etc. (47B47) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Cites Work

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• An extension of Putnam-Fuglede theorem for hyponormal operators
• On the class \(\mathcal Y\) operators
• Asymmetric Putnam-Fuglede theorem for \((n,k)\)-quasi-\(\ast\)-paranormal operators
• Fuglede-Putnam's theorem for w-hyponormal operators
• Some Properties of (y) Class Operators
• FUGLEDE-PUTNAM THEOREM FOR p-HYPONORMAL OR CLASS y OPERATORS
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
• Approximate Proper Vectors
• On Normal Operators in Hilbert Space

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