𝔖 Scriptorium
✦   LIBER   ✦

πŸ“

Non-spectral Asymptotic Analysis of One-Parameter Operator Semigroups

✍ Scribed by Eduard Yu. Emel'yanov


Publisher
BirkhΓ€user
Year
2007
Tongue
English
Leaves
180
Series
Operator Theory: Advances and Applications
Edition
1
Category
Library

⬇  Acquire This Volume

No coin nor oath required. For personal study only.

✦ Synopsis


In this book, non-spectral methods are presented and discussed that have been developed over the last two decades for the investigation of asymptotic behavior of operator semigroups. This concerns in particular Markov semigroups in L1-spaces, motivated by applications to probability theory and dynamical systems. Recently many results on the asymptotic behaviour of Markov semigroups were extended to positive semigroups in Banach lattices with order-continuous norm, and to positive semigroups in non-commutative L1-spaces. Related results, historical notes, exercises, and open problems accompany each chapter.


πŸ“œ SIMILAR VOLUMES


One-parameter Semigroups of Positive Ope
✍ Wolfgang Arendt, Annette Grabosch, GΓΌnther Greiner, Ulrich Moustakas, Rainer Nag πŸ“‚ Library πŸ“… 1986 πŸ› Springer-Verlag Berlin Heidelberg 🌐 English

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.

The Asymptotic Behaviour of Semigroups o
✍ Jan van Neerven (auth.) πŸ“‚ Library πŸ“… 1996 πŸ› BirkhΓ€user Basel 🌐 English

This book presents a systematic account of the theory of asymptotic behaviour of semigroups of linear operators acting in a Banach space. The focus is on the relationship between asymptotic behaviour of the semigroup and spectral properties of its infinitesimal generator. The most recent development

The Asymptotic Behaviour of Semigroups o
✍ Jan van Neerven (auth.) πŸ“‚ Library πŸ“… 1996 πŸ› BirkhΓ€user Basel 🌐 English

This book presents a systematic account of the theory of asymptotic behaviour of semigroups of linear operators acting in a Banach space. The focus is on the relationship between asymptotic behaviour of the semigroup and spectral properties of its infinitesimal generator. The most recent development

The Asymptotic Behaviour of Semigroups o
✍ Jan van Neerven πŸ“‚ Library πŸ“… 1996 πŸ› Birkhauser 🌐 English

This book presents a systematic account of the theory of asymptotic behaviour of semigroups of linear operators acting in a Banach space. The focus is on the relationship between asymptotic behaviour of the semigroup and spectral properties of its infinitesimal generator. The most recent development