Spectral equality for \(C_0\) semigroups

DOI10.1007/S12215-016-0243-0zbMath1448.47056arXiv1601.04173OpenAlexW2277764106MaRDI QIDQ2374448

Mohamed Amouch, Abdelaziz Tajmouati, Zakariya M. R. F. Alhomidi

Publication date: 15 December 2016

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

Full work available at URL: https://arxiv.org/abs/1601.04173

zbMATH Keywords

Fredholm operators\(C_0\) semigroupsBanach space operatorsspectral inclusion

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Spectrum, resolvent (47A10) (Semi-) Fredholm operators; index theories (47A53) (C)-semigroups, regularized semigroups (47D60) Operators on Banach spaces (47B01)

Related Items (4)

Local spectral theory for \(\alpha\)-times integrated semigroups ⋮ Semi-fredholm and semi-browder spectra for Co-quasi-semigroups ⋮ Spectral mapping theorems for differentiable \(C_0\) semigroups ⋮ Spectral inclusion for \(C_0\)-semigroups Drazin invertible and quasi-Fredholm operators

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Strongly continuous semigroups of semi-Fredholm operators
• Spectral inclusions and stability results for strongly continuous semigroups
• Spectre singulier pour les générateurs des semi-groupes
• Index of B-Fredholm operators and generalization of a Weyl theorem
• One-Parameter Semigroups for Linear Evolution Equations
• Restriction of an operator to the range of its powers
• The distance from the Apostol spectrum
• On the axiomatic theory of spectrum II
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