Eventually norm continuous semigroups on Hilbert space and perturbations.

DOI10.1016/j.jmaa.2003.08.034zbMath1063.47035OpenAlexW2073769688MaRDI QIDQ1425129

Gen-Qi Xu

Publication date: 15 March 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.08.034

zbMATH Keywords

characterizationbounded perturbationeventually norm continuous semigroup

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06)

Related Items (7)

Properties of a class of \(C_{0}\) semigroups on Banach spaces and their applications ⋮ On perturbations preserving the immediate norm continuity of semigroups ⋮ On contractive and convergence properties of a class of truncated operators represented through Schauder bases with applications ⋮ Perturbations of eventually differentiable and eventually norm-continuous semigroups on Banach spaces ⋮ Resolvent norm decay does not characterize norm continuity ⋮ Spectrum and stability of a \(1-d\) heat-wave coupled system with dynamical boundary control ⋮ On Dyson-Phillips type approach to differential equations with variable operators in a Banach space

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• On the characterization of eventually norm continuous semigroups in Hilbert spaces
• Norm continuity and related notions for semigroups on Banach spaces
• Characteristic Conditions for a c 0 -Semigroup with Continuity in the Uniform Operator Topology for t > 0 in Hilbert Space

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