Fuglede-Putnam type theorems for \((p, k)\)-quasihyponormal operators via hyponormal operators

DOI10.1186/s13660-019-2073-zzbMath1499.47013OpenAlexW2947347343MaRDI QIDQ2067854

Cai-Hong Wang, Jiang-Tao Yuan

Publication date: 19 January 2022

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

Full work available at URL: https://doi.org/10.1186/s13660-019-2073-z

zbMATH Keywords

hyponormal operator\(w\)-hyponormal operatorFuglede-Putnam theoremdominant operator

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Subnormal operators, hyponormal operators, etc. (47B20) Commutators, derivations, elementary operators, etc. (47B47)

Related Items

Generalizations of some classical theorems to \(D\)-normal operators on Hilbert spaces

Cites Work

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• Quasinormality and Fuglede--Putnam theorem for class \(A(s,t)\) operators
• Bishop's property \((\beta)\), a commutativity theorem and the dynamics of class \(\mathcal A(s,t)\) operators
• Jensen's inequality for operators and Loewner's theorem
• Isolated points of spectrum of (\(p,k\))-quasihyponormal operators
• Fuglede-Putnam's theorem for w-hyponormal operators
• Complete form of Furuta inequality
• FUGLEDE-PUTNAM THEOREM FOR p-HYPONORMAL OR CLASS y OPERATORS
• Remark on the Generalized Putnam-Fuglede Theorem
• On Majorization and Normality of Operators
• A note on $p$-hyponormal operators
• On (p,k)-quasihyponormal operators
• On extensions of some Flugede–Putnam type theorems involving (p, k)‐quasihyponormal, spectral, and dominant operators
• A Commutativity Theorem for Normal Operators
• On Normal Operators in Hilbert Space
• On dominant operators
• Reducibility of invariant subspaces of operators related to \(k\)-quasiclass-\(A(n)\) operators