Spectral properties for \(\gamma \)-diagonally dominant operator matrices using demicompactness classes and applications

DOI10.1007/s13398-019-00629-0OpenAlexW2909151245MaRDI QIDQ2317578

Ali Zitouni, Aref Jeribi, Bilel Krichen

Publication date: 12 August 2019

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-019-00629-0

zbMATH Keywords

essential spectraoperator matrixdiagonally dominant matrixdemicompact linear operator

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) (Semi-) Fredholm operators; index theories (47A53) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (2)

Fixed Point Theorems for Weakly Asymptotically Regular Mappings in Banach Spaces with an Application ⋮ Generalized weak demicompactness involving measure of non-strict-singularity

Cites Work

• On the perturbation theory for Fredholm operators
• Perturbation theory for nullity, deficiency and other quantities of linear operators
• Essential spectra of some matrix operators and application to two-group transport operators with general boundary conditions
• Some results on Fredholm operators, essential spectra, and application
• Self-adjoint block operator matrices with non-separated diagonal entries and their Schur complements.
• Fredholm operators, essential spectra and application to transport equations
• Construction of fixed points of demicompact mappings in Hilbert space
• On the essential spectrum of an arbitrary operator. I
• On the essential spectrum
• Demicompact linear operators, essential spectrum and some perturbation results
• The spectral mapping theorem for the essential approximate point spectrum
• Properties of Demicompact Operators, Essential Spectra and Some Perturbation Results for Block Operator Matrices with Applications
• Spectral Theory and Applications of Linear Operators and Block Operator Matrices
• Essential spectra of some matrix operators involving γ-relatively bounded entries and an application
• Fredholm, semi-Fredholm perturbations, and essential spectra
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