C -normality of rank-one perturbations of normal operators

DOI10.1080/03081087.2022.2105289arXiv2202.00614WikidataQ114100542 ScholiaQ114100542MaRDI QIDQ6057692

Zouheir Amara, Mourad Oudghiri

Publication date: 26 October 2023

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.00614

zbMATH Keywords

perturbationsnormal operatorscomplex symmetric operators\(C\)-normal operators

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Perturbation theory of linear operators (47A55)

Cites Work

• Unitary equivalence to a complex symmetric matrix: low dimensions
• Complex symmetry of a dense class of operators
• Finite rank perturbations of complex symmetric operators
• On properties of \(C\)-normal operators
• Complex symmetric partial isometries
• A 𝐶*-algebra approach to complex symmetric operators
• Some new classes of complex symmetric operators
• Complex symmetric operators and applications II
• Remarks on the structure of C-normal operators
• $C$--normal operators
• Complex symmetric operators and applications
• Cartesian decomposition of C-normal operators

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