Demicompact linear operators, essential spectrum and some perturbation results
From MaRDI portal
Publication:3192412
DOI10.1002/mana.201200007zbMath1343.47015OpenAlexW1853571908MaRDI QIDQ3192412
Bilel Krichen, Wajdi Chaker, Aref Jeribi
Publication date: 12 October 2015
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mana.201200007
Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) (Semi-) Fredholm operators; index theories (47A53) Local spectral properties of linear operators (47A11)
Related Items (28)
SHECHTER SPECTRA AND RELATIVELY DEMICOMPACT LINEAR RELATIONS ⋮ Fredholm theory for demicompact linear relations ⋮ Demicompact and \(k\)-\(D\)-set-contractive multivalued linear operators ⋮ Demicompactness results for strongly continuous semigroups, generators and resolvents ⋮ Spectral properties involving generalized weakly demicompact operators ⋮ Demicompactness properties for uniformly continuous cosine families ⋮ Spectral properties for generalized weakly S-demicompact operators ⋮ On matching distance between eigenvalues of unbounded operators ⋮ Spectral theory for polynomially demicompact operators ⋮ Essential pseudospectra involving demicompact and pseudodemicompact operators and some perturbation results ⋮ On relative essential spectra of a 3 x 3 operator matrix involving relative generalized weak demicompactness ⋮ Characterization of essential spectra involving weakly demicompact operators on Banach spaces ⋮ Relative demicompactness properties for exponentially bounded \(C^0\)-semigroups ⋮ Demicompact operators and ellipsoid spectra on quaternionic Hilbert spaces ⋮ Demicompactness perturbation in Banach algebras and some stability results ⋮ An inequality for imaginary parts of eigenvalues of non-compact operators with Hilbert-Schmidt Hermitian components ⋮ Variations of real and imaginary parts of eigenvalues of compact operators under perturbations ⋮ \(B\)-Weyl and Drazin invertible operators linked by weak pseudo \(S_0\)-demicompactness ⋮ Relative \(\varepsilon\)-pseudo weak demicompactness and measures of weak noncompactness ⋮ Properties of Demicompact Operators, Essential Spectra and Some Perturbation Results for Block Operator Matrices with Applications ⋮ Generalized weak demicompactness involving measure of non-strict-singularity ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On some classes of demicompact linear relation and some results of essential pseudospectra ⋮ Properties of linear relations in Banach spaces ⋮ Spectral properties for \(\gamma \)-diagonally dominant operator matrices using demicompactness classes and applications ⋮ Spectrum localization of a perturbed operator in a strip and applications ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Some new properties in Fredholm theory, Schechter essential spectrum, and application to transport theory
- Geometry of Banach spaces. Selected topics
- Some results on Fredholm operators, essential spectra, and application
- Essential spectra on spaces with the Dunford-Pettis property
- A characterization of the Schechter essential spectrum on Banach spaces and applications
- Some results on Fredholm and semi-Fredholm perturbations
- A characterization of some subsets of Schechter's essential spectrum and application to singular transport equation
- 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
- Remarks on condensing and \(k\)-set-contractive mappings
- Approximate point spectrum and commuting compact perturbations
- Continuous Dependence of Solutions of Operator Equations. I
- Some remarks on the essential spectrum of transport operators with abstract boundary conditions
- The spectral mapping theorem for the essential approximate point spectrum
- Une nouvelle caractérisation du spectre essentiel et application
- Spectral Theory and Applications of Linear Operators and Block Operator Matrices
- On the essential spectrum of transport operators on L1-spaces
This page was built for publication: Demicompact linear operators, essential spectrum and some perturbation results
