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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 one-parameter operator semigroups in Banach spaces. This concerns in particular Markov semigroups in L1-spaces, motivated by applications...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Emel'yanov, Eduard Yu (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2007.
Edición:1st ed. 2007.
Colección:Operator Theory: Advances and Applications, 173
Temas:
Acceso en línea:Texto Completo

MARC

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505 0 |a Elementary theory of one-parameter semigroups -- Positive semigroups in ordered Banach spaces -- Positive semigroups in L1-spaces. 
520 |a 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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