Overview
- Joint treatment of discrete and continuous systems
- Careful investigation of the behavior with respect to different topologies on infinite dimensional spaces
- Includes supplementary material: sn.pub/extras
Part of the book series: Operator Theory: Advances and Applications (OT, volume 209)
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Table of contents (5 chapters)
Keywords
About this book
The asymptotic behaviour, in particular "stability" in some sense, is studied systematically for discrete and for continuous linear dynamical systems on Banach spaces. Of particular concern is convergence to an equilibrium with respect to various topologies. Parallels and differences between the discrete and the continuous situation are emphasised.
Reviews
From the book reviews:
“This nice volume gives a good introduction to the asymptotic behaviour of linear dynamical systems. … This volume leads to the frontiers of recent research in a rapidly developing area of mathematics. It can be warmly recommended to researchers and graduate students interested in this field.” (László Kérchy, Acta Scientiarum Mathematicarum (Szeged), Vol. 78 (1-2), 2012)
“The author’s aim is to emphasise similarities between the discrete and continuous cases. … A reader who is new to the subject might prefer that the book included more motivational discussions … . the mathematical arguments throughout the book are presented in a style that makes them easy to follow. … it has value as a convenient reference text for comparison of the discrete and continuous cases of stability in operator theory and for exposition of links to ergodic theory.” (C. J. K. Batty, Mathematical Reviews, Issue 2011 f)Authors and Affiliations
Bibliographic Information
Book Title: Stability of Operators and Operator Semigroups
Authors: Tanja Eisner
Series Title: Operator Theory: Advances and Applications
DOI: https://doi.org/10.1007/978-3-0346-0195-5
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkh�user Basel 2010
Hardcover ISBN: 978-3-0346-0194-8Published: 15 July 2010
Softcover ISBN: 978-3-0348-0311-3Published: 07 September 2012
eBook ISBN: 978-3-0346-0195-5Published: 01 October 2019
Series ISSN: 0255-0156
Series E-ISSN: 2296-4878
Edition Number: 1
Number of Pages: VII, 204
Number of Illustrations: 8 b/w illustrations
Topics: Operator Theory, Dynamical Systems and Ergodic Theory, Systems Theory, Control