The closedness of the generator of a semigroup

We study semigroups of bounded operators on a Banach space such that the members of the semigroup are continuous with respect to various weak topologies and we give sufficient conditions for the generator of the semigroup to be closed with respect to the topologies involved. The proofs of these resu...

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Veröffentlicht in:	Semigroup forum 2016-12, Vol.93 (3), p.589-606
Hauptverfasser:	Androulakis, George, Ziemke, Matthew
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Banach spaces Continuity (mathematics) Integral calculus Laplace transforms Mathematics Mathematics and Statistics Operators (mathematics) Research Article Topology Transformations (mathematics)
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