Eduard Yu. Emel'yanov

Non-spectral Asymptotic Analysis of One-Parameter Operator Semigroups (eBook, PDF)

• Format: PDF

Produktbeschreibung

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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Produktdetails

• Verlag: Springer Basel
• Seitenzahl: 174
• Erscheinungstermin: 17. Februar 2007
• Englisch
• ISBN-13: 9783764381141
• Artikelnr.: 37398127

Autorenporträt

Eduard Yu. Emel'yanov, Middle East University, Ankara, Turkey

Inhaltsangabe

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