Spectral theory of \(2\times 2\) matrix with entries in a Banach algebra

DOI10.1007/s12215-020-00482-wOpenAlexW3089074344MaRDI QIDQ2024396

Nedra Moalla, Marwa Belguith

Publication date: 4 May 2021

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-020-00482-w

zbMATH Keywords

Banach algebrainessential idealessential spectra relative to subalgebraFredholm perturbations theory

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) (Semi-) Fredholm operators; index theories (47A53) Index theory and related fixed-point theorems on manifolds (58J20) Fredholm structures on infinite-dimensional manifolds (58B15) Topological algebras, normed rings and algebras, Banach algebras (46H99)

Cites Work

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• Essential spectra of some matrix operators and application to two-group transport operators with general boundary conditions
• S-essential spectra and application to an example of transport operators
• Closed operators affiliated with a Banach algebra of operators
• Perturbation theory relative to a Banach algebra of operators
• The Essential Spectrum of Some Matrix Operators

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