Spectral and topological properties of linear operators on a Hilbert space

DOI10.55730/1300-0098.3426MaRDI QIDQ6155710

Aissa Nasli Bakir, Salah Mecheri

Publication date: 6 June 2023

Published in: Turkish Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

SVEP\((M, k)\)-quasi-\(\ast\)-paranormal operator\(M\)-\(\ast\)-paranormal operatorinvariant subspacce

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Subnormal operators, hyponormal operators, etc. (47B20) Commutators, derivations, elementary operators, etc. (47B47)

Cites Work

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• On quasi \(\ast\)-paranormal operators
• The operator equation AX-XB=C with normal A and B
• On \(\ast\)-paranormal contractions and properties for \(\ast\)-class \(A\) operators
• *paranormal composition operators
• On algebraically total \(*\)-paranormality
• A note on \(k\)-quasi-\(\ast \)-paranormal operators
• Bishop's property, SVEP and Dunford Property
• Invertible completions of $2\times 2$ upper triangular operator matrices
• Bishop's property (β), hypercyclicity and hyperinvariant subspaces
• On (k,n) power quasinormal operators
• On the class of $k$-quasi-$(n,m)$-power normal operators
• An extension of the Fuglede-Putnam's theorem to class A operators
• On a new class of operators and Weyl type theorems
• Polaroid and k-quasi-*-paranormal operators
• The Operator Equation BX - XA = Q with Selfadjoint A and B

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