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＜電子ブック＞
Non-spectral Asymptotic Analysis of One-Parameter Operator Semigroups / by Eduard Yu. Emel'yanov
(Operator Theory: Advances and Applications. ISSN:22964878 ; 173)

版	1st ed. 2007.
出版者	(Basel : Birkhäuser Basel : Imprint: Birkhäuser)
出版年	2007
本文言語	英語
大きさ	VIII, 174 p : online resource
著者標目	*Emel'yanov, Eduard Yu author SpringerLink (Online service)
件　名	LCSH:Operator theory LCSH:Functional analysis LCSH:Measure theory FREE:Operator Theory FREE:Functional Analysis FREE:Measure and Integration
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-7643-8114-1

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