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Extensions of the Katznelson-Tzafriri theorem for operator semigroups

Abstract:

This thesis is concerned with extensions and refinements of the Katznelson-Tzafriri theorem, a cornerstone of the asymptotic theory of operator semigroups which recently has received renewed interest in the context of damped wave equations. The thesis comprises three main parts. The key results in the first part are a version of the Katznelson-Tzafriri theorem for bounded C_0-semigroups in which a certain function appearing in the original statement of the result is allowed more generally ...

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Research group:
Functional Analysis
Oxford college:
Balliol College
Role:
Author

Contributors

Division:
MPLS
Department:
Mathematical Institute
Role:
Supervisor
Publication date:
2014
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
Oxford University, UK
Language:
English
Keywords:
Subjects:
UUID:
uuid:cf8adfa4-b280-4cd8-b213-404d541ff651
Local pid:
ora:8717
Deposit date:
2014-07-04

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