Lie generators for semigroups of transformations in a Polish space
We characterize completely the infinitesimal generators of semigroups of linear transformations in $C_b(X)$, the bounded real-valued continuous functions on $X$, that are induced by strongly continuous semigroups of continuous transformations in $X$. In order to do this, $C_b(X)$ is equipped with a...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Texas State University
1993-08-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/1993/01/abstr.html |
| _version_ | 1818209249836138496 |
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| author | J. R. Dorroh J. W. Neuberger |
| author_facet | J. R. Dorroh J. W. Neuberger |
| author_sort | J. R. Dorroh |
| collection | DOAJ |
| description | We characterize completely the infinitesimal generators of semigroups of linear transformations in $C_b(X)$, the bounded real-valued continuous functions on $X$, that are induced by strongly continuous semigroups of continuous transformations in $X$. In order to do this, $C_b(X)$ is equipped with a locally convex topology known as the {it strict topology. } |
| first_indexed | 2024-12-12T04:57:43Z |
| format | Article |
| id | doaj.art-848744f67e3141b2b1806d1d0eed7fc9 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-12T04:57:43Z |
| publishDate | 1993-08-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-848744f67e3141b2b1806d1d0eed7fc92022-12-22T00:37:19ZengTexas State UniversityElectronic Journal of Differential Equations1072-66911993-08-0119930117Lie generators for semigroups of transformations in a Polish spaceJ. R. DorrohJ. W. NeubergerWe characterize completely the infinitesimal generators of semigroups of linear transformations in $C_b(X)$, the bounded real-valued continuous functions on $X$, that are induced by strongly continuous semigroups of continuous transformations in $X$. In order to do this, $C_b(X)$ is equipped with a locally convex topology known as the {it strict topology. }http://ejde.math.txstate.edu/Volumes/1993/01/abstr.htmlSemigroups of operatorsinfinitesimal generator. ~ |
| spellingShingle | J. R. Dorroh J. W. Neuberger Lie generators for semigroups of transformations in a Polish space Electronic Journal of Differential Equations Semigroups of operators infinitesimal generator. ~ |
| title | Lie generators for semigroups of transformations in a Polish space |
| title_full | Lie generators for semigroups of transformations in a Polish space |
| title_fullStr | Lie generators for semigroups of transformations in a Polish space |
| title_full_unstemmed | Lie generators for semigroups of transformations in a Polish space |
| title_short | Lie generators for semigroups of transformations in a Polish space |
| title_sort | lie generators for semigroups of transformations in a polish space |
| topic | Semigroups of operators infinitesimal generator. ~ |
| url | http://ejde.math.txstate.edu/Volumes/1993/01/abstr.html |
| work_keys_str_mv | AT jrdorroh liegeneratorsforsemigroupsoftransformationsinapolishspace AT jwneuberger liegeneratorsforsemigroupsoftransformationsinapolishspace |