A spectral mapping theorem for perturbed strongly continuous semigroups

DOI10.1007/BF01445219zbMath0787.47033MaRDI QIDQ1191437

Fuensanta Andreu, Josep Martínez, José M. Mazón Ruiz

Publication date: 27 September 1992

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164878

zbMATH Keywords

spectrumradius of the essential spectrumCalkin algebraneutron transport equationscattering operators\(C_ 0\)-semigroupideal of compact operatorsconjecture by Mokhtar-Kharroubi

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55)

Related Items (8)

Spectral analysis of semigroups and growth-fragmentation equations ⋮ Compactness properties for linear transport operators with abstract boundary conditions in slab geometry ⋮ Exponential stability of perturbed superstable systems in Hilbert spaces ⋮ \(C_0\)-semigroups norm continuous at infinity ⋮ Regularity properties of some perturbations of non-densely defined operators with applications ⋮ A note on the growth band of \(C_0\)-semigroups ⋮ A Katznelson-Tzafriri theorem for measures ⋮ The critical spectrum of a strongly continuous semigroup.

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• Semigroups of operators and measures of noncompactness
• Quelques applications de la positivité en théorie du transport
• An asymptotic expansion in the theory of neutron transport

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