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Journal article
The closedness of the generator of a semigroup
Semigroup forum, v 93(3), pp 589-606
01 Dec 2016
Abstract
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 results use the Laplace transforms of the semigroup. Thus we first give sufficient conditions for Pettis integrability of vector-valued functions with respect to scalar measures.
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Details
- Title
- The closedness of the generator of a semigroup
- Creators
- George Androulakis - University of South CarolinaMatthew Ziemke - University of South Carolina
- Publication Details
- Semigroup forum, v 93(3), pp 589-606
- Publisher
- Springer Nature
- Number of pages
- 18
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000388706300010
- Scopus ID
- 2-s2.0-84937867535
- Other Identifier
- 991021866495804721
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- Web of Science research areas
- Mathematics