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.
Tabella dei contenuti
Elementary theory of one-parameter semigroups.- Positive semigroups in ordered Banach spaces.- Positive semigroups in L1-spaces.
Lingua Inglese ● Formato PDF ● Pagine 174 ● ISBN 9783764381141 ● Dimensione 1.5 MB ● Casa editrice Springer Basel ● Città Basel ● Paese CH ● Pubblicato 2007 ● Scaricabile 24 mesi ● Moneta EUR ● ID 2205762 ● Protezione dalla copia DRM sociale