Some results on the classes of D-normal operators and n-power D-normal operators

DOI10.1007/s00025-018-0949-8zbMath1506.47029OpenAlexW2910970265WikidataQ128628191 ScholiaQ128628191MaRDI QIDQ1729913

R. Yousefi, Mansour Dana

Publication date: 28 February 2019

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

Full work available at URL: https://doi.org/10.1007/s00025-018-0949-8

zbMATH Keywords

Drazin inverseFuglede-Putnam theoremD-normal operatorsn-power D-normal operators

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Subnormal operators, hyponormal operators, etc. (47B20)

Related Items (5)

On a new class of generalized normal operators ⋮ Generalizations of some classical theorems to \(D\)-normal operators on Hilbert spaces ⋮ On the class of n-power D-m-quasi-normal operators on Hilbert spaces ⋮ On linear operators for which TTD is normal ⋮ Drazin invertibility, characterizations and structure of polynomially normal operators

Cites Work

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• Fredholm spectra and Weyl type theorems for Drazin invertible operators
• Weyl-type theorems on Banach spaces under compact perturbations
• Local spectral theory for Drazin invertible operators
• The Fuglede-Putnam theorem and normal products of matrices
• Generalized inverses. Theory and applications.
• Normal products of matrices
• Products of normal operators
• Generalizations of Kaplansky's Theorem Involving Unbounded Linear Operators
• On the classes of D-normal operators and D-quasi-normal operators on Hilbert space
• Quasi-normal matrices and products
• A Commutativity Theorem for Normal Operators
• On Normal Operators in Hilbert Space

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