A perturbation theorem for operator semigroups in Hilbert spaces

DOI10.1007/s002330010166zbMath1046.47037OpenAlexW1993744985MaRDI QIDQ1402908

Cornelia Kaiser, Lutz W. Weis

Publication date: 31 August 2003

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002330010166

zbMATH Keywords

perturbationHilbert space\(C_0\)-semigroupstrongly continuous semigroups

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Perturbation theory of linear operators (47A55) General theory of ordinary differential operators (47E05) Integrated semigroups (47D62)

Related Items (7)

On the growth of semigroups and perturbations ⋮ Resolvent characterisation of generators of cosine functions and \(C_0\)-groups ⋮ Perturbation theory for abstract Volterra equations ⋮ A new generation criterion theorem for \(C_0\)-semigroups implying a generalization of Kaiser-Weis-Batty's perturbation theorem ⋮ Bounded \(H ^{\infty }\)-calculus for strip-type operators ⋮ Remarks on a Characterization of Generators of Bounded $$C_0$$-Semigroups ⋮ On perturbations preserving the immediate norm continuity of semigroups

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