<P>The book offers a direct and up-to-date introduction to the theory of one-parameter semigroups of linear operators on Banach spaces.Β It contains the fundamental results of the theory such as the Hille-Yoshida generation theorem, the bounded perturbation theorem, and the Trotter-Kato approximatio
A short course on operator semigroups
β Scribed by Klaus-Jochen Engel, Rainer Nagel
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Leaves
- 256
- Series
- Universitext
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The book gives a streamlined and systematic introduction to strongly continuous semigroups of bounded linear operators on Banach space. It treats the fundamental Hille-Yosida generation theorem as well as perturbation and approximation theorems for generators and semigroups. The special feature is i
The book offers a direct and up-to-date introduction to the theory of one-parameter semigroups of linear operators on Banach spaces. It contains the fundamental results of the theory such as the Hille-Yoshida generation theorem, the bounded perturbation theorem, and the Trotter-Kato approximation th
<p>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 c
The book is organized as follows. We concentrate our attention on three subjects of semigroup theory: characterization, spectral theory and asymptotic behavior. By characterization , we understand the problem of describing special properties of a semigroup, such as positivity, through the generator.