On the characterization of eventually norm continuous semigroups in Hilbert spaces

DOI10.1007/BF01196674zbMath0811.47035MaRDI QIDQ1340185

Omar El-Mennaoui, Klaus-Jochen Engel

Publication date: 11 December 1994

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

representation formulaeventually norm continuousPlancherel theoremexponentially stable semigroupHilbert space valued Fourier transform

Mathematics Subject Classification ID

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

Related Items (13)

Distance near the origin between elements of a strongly continuous semigroup ⋮ Properties of a class of \(C_{0}\) semigroups on Banach spaces and their applications ⋮ \(C_0\)-semigroups norm continuous at infinity ⋮ Norm continuity and related notions for semigroups on Banach spaces ⋮ Eventually norm continuous semigroups on Hilbert space and perturbations. ⋮ TOWARDS A CHARACTERIZATION OF EVENTUALLY NORM CONTINUOUS SEMIGROUPS ON BANACH SPACES ⋮ On perturbations preserving the immediate norm continuity of semigroups ⋮ Perturbations of generators of \(C_{0}\)-semigroups and resolvent decay ⋮ Norm continuity for \(t>0\) of linear operator families ⋮ Resolvent norm decay does not characterize norm continuity ⋮ The theory of Besov functional calculus: developments and applications to semigroups ⋮ Operators \(L^{1}(\mathbb R_+) \to X\) and the norm continuity problem for semigroups ⋮ On the infinite product of \(C_0\)-semigroups

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Characteristic Conditions for a c 0 -Semigroup with Continuity in the Uniform Operator Topology for t > 0 in Hilbert Space
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