Non-spectral Asymptotic Analysis of One-Parameter Operator Semigroups

2007
ISBN: 978-3-7643-8095-3
Verlag: Springer

Buch, Englisch, Band 173, 174 Seiten, Format (B × H): 175 mm x 250 mm, Gewicht: 509 g

Reihe: Operator Theory: Advances and Applications

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 L-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 L-spaces. Related results, historical notes, exercises, and open problems accompany each chapter.

Zielgruppe

Research

Autoren/Hrsg.

Emel'yanov, Eduard Yu.

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis

Inhaltsverzeichnis

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