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...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [Cambridgeshire] ; New York :
Cambridge University Press,
1982.
|
| Schriftenreihe: | London Mathematical Society lecture note series ;
63. |
| Schlagworte: | |
| Online-Zugang: | DE-862 DE-863 |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (145 pages) |
| Bibliographie: | Includes bibliographical references (pages 138-142) and index. |
| ISBN: | 9781107361164 1107361168 9780511662423 0511662424 |
Internformat
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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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| genre | Kontinuierliche Halbgruppen. Stetige Halbgruppe. Kontinuierliche Halbgruppen. swd Stetige Halbgruppe. swd |
| genre_facet | Kontinuierliche Halbgruppen. Stetige Halbgruppe. |
| id | ZDB-4-EBA-ocn839304436 |
| illustrated | Not Illustrated |
| indexdate | 2025-03-18T14:21:10Z |
| institution | BVB |
| isbn | 9781107361164 1107361168 9780511662423 0511662424 |
| language | English |
| oclc_num | 839304436 |
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| physical | 1 online resource (145 pages) |
| psigel | ZDB-4-EBA FWS_PDA_EBA ZDB-4-EBA |
| publishDate | 1982 |
| publishDateSearch | 1982 |
| publishDateSort | 1982 |
| publisher | Cambridge University Press, |
| record_format | marc |
| series | London Mathematical Society lecture note series ; |
| series2 | London Mathematical Society lecture note series ; |
| spelling | Sinclair, Allan M. Continuous semigroups in Banach algebras / Allan M. Sinclair. Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1982. 1 online resource (145 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society lecture note series ; 63 Includes bibliographical references (pages 138-142) and index. Print version record. 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. http://id.loc.gov/authorities/subjects/sh85011437 Semigroups. http://id.loc.gov/authorities/subjects/sh85119920 Semi-groupes. MATHEMATICS Algebra Linear. bisacsh Banach algebras fast Semigroups fast Banach-Algebra gnd http://d-nb.info/gnd/4193187-7 Topologische Halbgruppe gnd http://d-nb.info/gnd/4200462-7 Kontinuierliche Halbgruppen. Stetige Halbgruppe. Kontinuierliche Halbgruppen. swd Stetige Halbgruppe. swd Print version: Sinclair, Allan M. Continuous semigroups in Banach algebras. Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1982 0521285984 (DLC) 81021627 (OCoLC)8052183 London Mathematical Society lecture note series ; 63. http://id.loc.gov/authorities/names/n42015587 |
| spellingShingle | Sinclair, Allan M. Continuous semigroups in Banach algebras / London Mathematical Society lecture note series ; Banach algebras. http://id.loc.gov/authorities/subjects/sh85011437 Semigroups. http://id.loc.gov/authorities/subjects/sh85119920 Semi-groupes. MATHEMATICS Algebra Linear. bisacsh Banach algebras fast Semigroups fast Banach-Algebra gnd http://d-nb.info/gnd/4193187-7 Topologische Halbgruppe gnd http://d-nb.info/gnd/4200462-7 |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85011437 http://id.loc.gov/authorities/subjects/sh85119920 http://d-nb.info/gnd/4193187-7 http://d-nb.info/gnd/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. http://id.loc.gov/authorities/subjects/sh85011437 Semigroups. http://id.loc.gov/authorities/subjects/sh85119920 Semi-groupes. MATHEMATICS Algebra Linear. bisacsh Banach algebras fast Semigroups fast Banach-Algebra gnd http://d-nb.info/gnd/4193187-7 Topologische Halbgruppe gnd http://d-nb.info/gnd/4200462-7 |
| topic_facet | Banach algebras. Semigroups. Semi-groupes. MATHEMATICS Algebra Linear. Banach algebras Semigroups Banach-Algebra Topologische Halbgruppe Kontinuierliche Halbgruppen. Stetige Halbgruppe. |
| work_keys_str_mv | AT sinclairallanm continuoussemigroupsinbanachalgebras |