On the classes of (n,m)-power D-normal and (n,m)-power D-quasi-normal operators

DOI10.7153/oam-2019-13-51OpenAlexW2973746361MaRDI QIDQ5205410

Ould Ahmed Mahmoud Sid Ahmed, Ould Beinane Sid Ahmed

Publication date: 11 December 2019

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/oam-2019-13-51

zbMATH Keywords

\(n\)-power \(D\)-normal\(n\)-power \(D\)-quasi-normal\((m,n)\)-power normal\((m,n)\)-power quasi-normal

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Subnormal operators, hyponormal operators, etc. (47B20) Invariant subspaces of linear operators (47A15)

Related Items (4)

\((P,m)\)-\(B\)-normal and quasi-\(P\)-\(B\)-normal operators in semi-Hilbert spaces ⋮ On the class of $k$-quasi-$(n,m)$-power normal operators ⋮ On the class of n-power D-m-quasi-normal operators on Hilbert spaces ⋮ On power Drazin normal and Drazin quasi-normal Hilbert space operators

Cites Work

• On some normality-like properties and Bishop's property \((\beta)\) for a class of operators on Hilbert spaces
• An extension of Putnam-Fuglede theorem for hyponormal operators
• A note on Drazin inverses
• Generalized inverses: theory and computations
• Generalized inverses. Theory and applications.
• On the classes of D-normal operators and D-quasi-normal operators on Hilbert space
• YET MORE VERSIONS OF THE FUGLEDE–PUTNAM THEOREM
• On the Generalized Drazin Inverse and Generalized Resolvent
• On Relaxation of Normality in the Fuglede-Putnam Theorem
• Extensions of a Theorem of Fuglede and Putnam
• A Commutativity Theorem for Normal Operators
• On Normal Operators in Hilbert Space
• On a Class of Operators
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the classes of (n,m)-power D-normal and (n,m)-power D-quasi-normal operators