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Stability of Operators and Operator Semigroups
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 case...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Basel :
Springer Basel : Imprint: Birkhäuser,
2010.
|
| Edición: | 1st ed. 2010. |
| Colección: | Operator Theory: Advances and Applications,
209 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 100 | 1 | |a Eisner, Tanja. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Stability of Operators and Operator Semigroups |h [electronic resource] / |c by Tanja Eisner. |
| 250 | |a 1st ed. 2010. | ||
| 264 | 1 | |a Basel : |b Springer Basel : |b Imprint: Birkhäuser, |c 2010. | |
| 300 | |a VII, 204 p. 8 illus. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Operator Theory: Advances and Applications, |x 2296-4878 ; |v 209 | |
| 505 | 0 | |a Introduction -- Chapter I. Functional analytic tools -- 1. Structure of compact semigroups -- 2. Mean ergodicity -- 3. Tools from semigroup theory -- Chapter II. Stability of linear operators -- 1. Power boundedness -- 2. Strong stability -- 3. Weak stability -- 4. Almost weak stability -- 5. Abstract examples -- 6. Stability via Lyapunov equation -- Chapter III. Stability of C0-semigroups -- 1. Boundedness -- 2. Uniform exponential stability -- 3. Strong stability -- 4. Weak stability -- 5. Almost weak stability -- 6. Abstract examples -- 7. Stability via Lyapunov equation -- Chapter IV. Discrete vs. continuous -- 1. Embedding operators into C0-semigroups -- 2. Cogenerators -- Bibliography. | |
| 520 | |a 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. The book is addressed to all researchers and graduate students interested in this field. | ||
| 650 | 0 | |a Operator theory. | |
| 650 | 0 | |a Dynamical systems. | |
| 650 | 0 | |a System theory. | |
| 650 | 0 | |a Control theory. | |
| 650 | 1 | 4 | |a Operator Theory. |
| 650 | 2 | 4 | |a Dynamical Systems. |
| 650 | 2 | 4 | |a Systems Theory, Control . |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783034601962 |
| 776 | 0 | 8 | |i Printed edition: |z 9783034601948 |
| 776 | 0 | 8 | |i Printed edition: |z 9783034803113 |
| 830 | 0 | |a Operator Theory: Advances and Applications, |x 2296-4878 ; |v 209 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-0346-0195-5 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||