Stability of operators and operator semigroups / Tanja Eisner.
The book is addressed to all researchers and graduate students interested in this field. --Book Jacket.
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| Main Author: | |
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| Format: | Ebook |
| Language: | English |
| Published: |
Basel :
Birkhäuser,
[2010]
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| Series: | Operator theory, advances and applications ;
v. 209. |
| Subjects: | |
| Online Access: | Springer eBooks |
| Summary: | The book is addressed to all researchers and graduate students interested in this field. --Book Jacket. This book is about stability of linear dynamical systems, discrete and continuous. More precisely, we discuss convergence to zero of strongly continuous semigroups of operators and of powers of a bounded linear operator, both with respect to different topologies. The discrete and the continuous cases are treated in parallel, and we systematically employ a comparison of methods and results in either case. Apart from classical results, many recent crucial developments in the area are presented such as the resolvent approach to stability. Special attention is payed to stability with respect to the weak operator topology. We also connect stability in operator theory to its analogues in ergodic theory and harmonic analysis. |
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| Physical Description: | 1 online resource (vii, 204 pages) : illustrations. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 3034601948 3034601956 9783034601948 9783034601955 |