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Non-Spectral Asymptotic Analysis of One-Parameter Operator Semigroups

Non-Spectral Asymptotic Analysis of One-Parameter Operator Semigroups

Hardcover

Series: Operator Theory: Advances and Applications, Book 173

General Mathematics

ISBN10: 3764380950
ISBN13: 9783764380953
Publisher: Springer Nature
Published: Dec 12 2006
Pages: 174
Weight: 1.03
Height: 0.57 Width: 6.69 Depth: 9.38
Language: English

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 operator semigroups. 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.

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General Mathematics