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.
Cuprins
Elementary theory of one-parameter semigroups.- Positive semigroups in ordered Banach spaces.- Positive semigroups in L1-spaces.
Limba Engleză ● Format PDF ● Pagini 174 ● ISBN 9783764381141 ● Mărime fișier 1.5 MB ● Editura Springer Basel ● Oraș Basel ● Țară CH ● Publicat 2007 ● Descărcabil 24 luni ● Valută EUR ● ID 2205762 ● Protecție împotriva copiilor DRM social