Non-spectral Asymptotic Analysis of One-Parameter Operator Semigroups

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.

List of contents

Elementary theory of one-parameter semigroups.- Positive semigroups in ordered Banach spaces.- Positive semigroups in L1-spaces.

Summary

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.

Product details

• Authors: Eduard Y. Emelyanov, Eduard Yu. Emelyanov, Eduard Yu Emel'yanov, Eduard Yu. Emel'yanov
• Publisher: Springer, Basel
• Languages: English
• Product format: Hardback
• Released: 23.01.2007
• EAN: 9783764380953
• ISBN: 978-3-7643-8095-3
• No. of pages: 174
• Weight: 464 g
• Illustrations: VIII, 174 p.
• Series: Operator Theory: Advances and Applications; Operator Theory: Advances and Applications
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; B, Integralrechnung und -gleichungen, measure theory, Mathematics and Statistics, Functional Analysis, Integral calculus & equations, Functional analysis & transforms, Operator Theory, Measure and Integration