The asymptotic behaviour of semigroups of linear operators /
This book presents a systematic account of the theory of asymptotic behaviour of semigroups of linear operators acting in a Banach space. The focus is on the relationship between asymptotic behaviour of the semigroup and spectral properties of its infinitesimal generator. The most recent development...
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| Format: | eBook |
| Language: | English |
| Published: |
Basel ; Boston :
Birkhäuser,
[1996]
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| Series: | Operator theory, advances and applications ;
v. 88. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | This book presents a systematic account of the theory of asymptotic behaviour of semigroups of linear operators acting in a Banach space. The focus is on the relationship between asymptotic behaviour of the semigroup and spectral properties of its infinitesimal generator. The most recent developments in the field are included, such as the Arendt-Batty-Lyubich-Vu theorem, the spectral mapp- ing theorem of Latushkin and Montgomery-Smith, Weis's theorem on stability of positive semigroup in Lp-spaces, the stability theorem for semigroups whose resolvent is bounded in a half-plane, and a systematic theory of individual stability. Addressed to researchers and graduate students with interest in the fields of operator semigroups and evolution equations, this book is self-contained and provides complete proofs. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (xii, 236 pages) |
| Format: | Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |
| Bibliography: | Includes bibliographical references (pages [225]-234) and indexes. |
| ISBN: | 9783034892063 (electronic bk.) 3034892063 (electronic bk.) |