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.
Innehållsförteckning
Elementary theory of one-parameter semigroups.- Positive semigroups in ordered Banach spaces.- Positive semigroups in L1-spaces.
Språk Engelska ● Formatera PDF ● Sidor 174 ● ISBN 9783764381141 ● Filstorlek 1.5 MB ● Utgivare Springer Basel ● Stad Basel ● Land CH ● Publicerad 2007 ● Nedladdningsbara 24 månader ● Valuta EUR ● ID 2205762 ● Kopieringsskydd Social DRM