A characterization of the essential approximation pseudospectrum on a Banach space

DOI10.2298/FIL1711599AzbMath1483.47010OpenAlexW2789568647MaRDI QIDQ5020123

Aymen Ammar, Aref Jeribi, Kamel Mahfoudhi

Publication date: 4 January 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1711599a

zbMATH Keywords

approximation pseudospectrumessential approximation pseudospectrum

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Operators on Banach spaces (47B01)

Related Items (11)

Essential pseudospectra involving demicompact and pseudodemicompact operators and some perturbation results ⋮ \( (P,Q)-{\varepsilon} \)-pseudo condition spectrum for \(2\times 2\) matrices. Linear operator and application ⋮ A new spectral approach in the matrix algebra: trace pseudospectrum ⋮ Generalized trace pseudo-spectrum of matrix pencils ⋮ Generalized Drazin-meromorphic pseudospectrum for a bounded linear operator on a Banach space ⋮ A new spectral approach in the matrix algebra: \(C\)-determinant pseudospectrum ⋮ Generalized determinant pseudo-spectrum of matrix pencils ⋮ Unnamed Item ⋮ Some description of essential structured approximate and defect pseudospectrum ⋮ The condition pseudospectrum of a operator pencil ⋮ The essential approximate pseudospectrum and related results

Uses Software

• Eigtool

Cites Work

• A characterization of the essential pseudospectra on a Banach space
• Lax-stability of fully discrete spectral methods via stability regions and pseudo-eigenvalues
• A characterization of some subsets of Schechter's essential spectrum and application to singular transport equation
• On the definition of pseudospectra
• Pseudospectre d'une suite d'opérateurs bornés
• Pseudospectra of Linear Operators
• Spectral Theory and Applications of Linear Operators and Block Operator Matrices
• A note on the essential pseudospectra and application
• Discrete approximation of unbounded operators and approximation of their spectra
• Essential pseudospectra and essential norms of band-dominated operators
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