Tanja Eisner
Springer Basel
2010e druk, 2010
9783034601948
Stability of Operators and Operator Semigroups
Specificaties
Gebonden, 204 blz.
|
Engels
Springer Basel |
2010e druk, 2010
ISBN13: 9783034601948
Rubricering
Onderdeel van serie
Operator Theory: Advances and Applications
Verwachte levertijd ongeveer 9 werkdagen
Samenvatting
The asymptotic behaviour, in particular "stability" in some sense, is studied systematically for discrete and for continuous linear dynamical systems on Banach spaces. Of particular concern is convergence to an equilibrium with respect to various topologies. Parallels and differences between the discrete and the continuous situation are emphasised.
Specificaties
ISBN13:9783034601948
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:204
Uitgever:Springer Basel
Druk:2010
Inhoudsopgave
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.