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eBook details

• Title: Non-spectral Asymptotic Analysis of One-Parameter Operator Semigroups
• Author : Eduard Yu. Emel’yanov
• Release Date : January 17, 2007
• Genre: Mathematics,Books,Science & Nature,
• Pages : * pages
• Size : 6430 KB

Description

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.

The book is directed to graduate students and researchers working in operator theory, particularly those interested in C0-semigroups in classical and non-commutative L1-spaces, in mean ergodic theory, and in dynamical systems.

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