Book Details

Non-spectral Asymptotic Analysis of One-Parameter Operator Semigroups

Publication year: 2007

: 978-3-7643-8114-1

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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 one-parameter operator semigroups in Banach spaces. 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.


: Mathematics and Statistics, Lattice, asymptotic analysis, calculus, operator theory, semigroups