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Non-spectral Asymptotic Analysis of One-Parameter Operator Semigroups [electronic resource] /by Eduard Yu. Emel’yanov.

by Emel’yanov, Eduard Yu [author.]; SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Operator Theory: Advances and Applications: 173Publisher: Basel : Birkhäuser Basel, 2007.Description: VIII, 174 p. online resource.ISBN: 9783764381141.Subject(s): Mathematics | Functional analysis | Operator theory | Mathematics | Operator Theory | Functional Analysis | Measure and IntegrationDDC classification: 515.724 Online resources: Click here to access online
Contents:
Elementary theory of one-parameter semigroups -- Positive semigroups in ordered Banach spaces -- Positive semigroups in L1-spaces.
In: Springer eBooksSummary: 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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Elementary theory of one-parameter semigroups -- Positive semigroups in ordered Banach spaces -- Positive semigroups in L1-spaces.

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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