Continuous semigroups in Banach algebras:
In these notes the abstract theory of analytic one-parameter semigroups in Banach algebras is discussed, with the Gaussian, Poisson and fractional integral semigroups in convolution Banach algebras serving as motivating examples. Such semigroups are constructed in a Banach algebra with a bounded app...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
1982
|
| Series: | London Mathematical Society lecture note series
63 |
| Subjects: | |
| Online Access: | BSB01 FHN01 Volltext |
| Summary: | In these notes the abstract theory of analytic one-parameter semigroups in Banach algebras is discussed, with the Gaussian, Poisson and fractional integral semigroups in convolution Banach algebras serving as motivating examples. Such semigroups are constructed in a Banach algebra with a bounded approximate identity. Growth restrictions on the semigroup are linked to the structure of the underlying Banach algebra. The Hille-Yosida Theorem and a result of J. Esterle's on the nilpotency of semigroups are proved in detail. The lecture notes are an expanded version of lectures given by the author at the University of Edinburgh in 1980 and can be used as a text for a graduate course in functional analysis |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (145 pages) |
| ISBN: | 9780511662423 |
| DOI: | 10.1017/CBO9780511662423 |
Staff View
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| 520 | |a In these notes the abstract theory of analytic one-parameter semigroups in Banach algebras is discussed, with the Gaussian, Poisson and fractional integral semigroups in convolution Banach algebras serving as motivating examples. Such semigroups are constructed in a Banach algebra with a bounded approximate identity. Growth restrictions on the semigroup are linked to the structure of the underlying Banach algebra. The Hille-Yosida Theorem and a result of J. Esterle's on the nilpotency of semigroups are proved in detail. The lecture notes are an expanded version of lectures given by the author at the University of Edinburgh in 1980 and can be used as a text for a graduate course in functional analysis | ||
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| institution | BVB |
| isbn | 9780511662423 |
| language | English |
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| spelling | Sinclair, Allan M. Verfasser aut Continuous semigroups in Banach algebras Allan M. Sinclair Cambridge Cambridge University Press 1982 1 online resource (145 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 63 Title from publisher's bibliographic system (viewed on 05 Oct 2015) In these notes the abstract theory of analytic one-parameter semigroups in Banach algebras is discussed, with the Gaussian, Poisson and fractional integral semigroups in convolution Banach algebras serving as motivating examples. Such semigroups are constructed in a Banach algebra with a bounded approximate identity. Growth restrictions on the semigroup are linked to the structure of the underlying Banach algebra. The Hille-Yosida Theorem and a result of J. Esterle's on the nilpotency of semigroups are proved in detail. The lecture notes are an expanded version of lectures given by the author at the University of Edinburgh in 1980 and can be used as a text for a graduate course in functional analysis Banach algebras Semigroups Banach-Algebra (DE-588)4193187-7 gnd rswk-swf Topologische Halbgruppe (DE-588)4200462-7 gnd rswk-swf Banach-Algebra (DE-588)4193187-7 s Topologische Halbgruppe (DE-588)4200462-7 s 1\p DE-604 Erscheint auch als Druckausgabe 978-0-521-28598-8 https://doi.org/10.1017/CBO9780511662423 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Sinclair, Allan M. Continuous semigroups in Banach algebras Banach algebras Semigroups Banach-Algebra (DE-588)4193187-7 gnd Topologische Halbgruppe (DE-588)4200462-7 gnd |
| subject_GND | (DE-588)4193187-7 (DE-588)4200462-7 |
| title | Continuous semigroups in Banach algebras |
| title_auth | Continuous semigroups in Banach algebras |
| title_exact_search | Continuous semigroups in Banach algebras |
| title_full | Continuous semigroups in Banach algebras Allan M. Sinclair |
| title_fullStr | Continuous semigroups in Banach algebras Allan M. Sinclair |
| title_full_unstemmed | Continuous semigroups in Banach algebras Allan M. Sinclair |
| title_short | Continuous semigroups in Banach algebras |
| title_sort | continuous semigroups in banach algebras |
| topic | Banach algebras Semigroups Banach-Algebra (DE-588)4193187-7 gnd Topologische Halbgruppe (DE-588)4200462-7 gnd |
| topic_facet | Banach algebras Semigroups Banach-Algebra Topologische Halbgruppe |
| url | https://doi.org/10.1017/CBO9780511662423 |
| work_keys_str_mv | AT sinclairallanm continuoussemigroupsinbanachalgebras |