Perturbation of the spectra of complex symmetric operators

DOI10.2298/FIL2101191BzbMath1500.47014MaRDI QIDQ5085006

Cun Wang, Qinggang Bu

Publication date: 29 June 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

Weyl's theoremsingle-valued extension propertylocal spectral theorycomplex symmetric operators

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Perturbation theory of linear operators (47A55) (Semi-) Fredholm operators; index theories (47A53) Local spectral properties of linear operators (47A11)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The stability of the single valued extension property
• SVEP and compact perturbations
• Weyl's theorem for functions of operators and approximation
• Weyl's theorem for algebraically quasi-class A operators
• The single valued extension property on a Banach space
• The Weyl spectrum of \(p\)-hyponormal operators
• Weyl's theorem for algebraically paranormal operators
• Complex symmetric generators of \(C^*\)-algebras
• On linear maps preserving complex symmetry
• Complex symmetric partial isometries
• Remarks on the structure of complex symmetric operators
• Weyl's theorem for nonnormal operators
• Weyl's theorem for complex symmetric operators
• Approximation of complex symmetric operators
• On semi B-Fredholm operators
• Index of B-Fredholm operators and generalization of a Weyl theorem
• On the stability of the localized single-valued extension property under commuting perturbations
• A 𝐶*-algebra approach to complex symmetric operators
• GENERALIZED WEYL'S THEOREM FOR FUNCTIONS OF OPERATORS AND COMPACT PERTURBATIONS
• A survey of the theory of spectral operators
• Quasitriangular $+$ small compact $=$ strongly irreducible
• Weyl’s theorem holds for algebraically hyponormal operators
• Complex symmetric generators for operator algebras
• Properties of complex symmetric operators
• Reducible and irreducible approximation of complex symmetric operators
• Complex symmetric operators and applications

This page was built for publication: Perturbation of the spectra of complex symmetric operators