Stability of Operators and Operator Semigroups (Operator Theory: Advances and Applications, 209, Band 209) - Hardcover

Buch 122 von 132: Operator Theory: Advances and Applications

Eisner, Tanja

 
9783034601948: Stability of Operators and Operator Semigroups (Operator Theory: Advances and Applications, 209, Band 209)
Hardcover
ISBN 10: 3034601948 ISBN 13: 9783034601948
Verlag: Birkhäuser, 2010

Inhaltsangabe

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.

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Über die Autorin bzw. den Autor

Tanja Eisner is a Professor of Mathematics at the University of Leipzig. Bálint Farkas is a Professor of Mathematics at the University of Wuppertal. Markus Haase is a Professor of Mathematics at the Delft Institute of Applied Mathematics. Rainer Nagel is a Professor of Mathematics at the University of Tübingen.

Von der hinteren Coverseite

This book is about stability of linear dynamical systems, discrete and continuous. More precisely, we discuss convergence to zero of strongly continuous semigroups of operators and of powers of a bounded linear operator, both with respect to different topologies. The discrete and the continuous cases are treated in parallel, and we systematically employ a comparison of methods and results in either case. Apart from classical results, many recent crucial developments in the area are presented, such as the resolvent approach to stability. Special attention is payed to stability with respect to the weak operator topology. We also connect stability in operator theory to its analogues in ergodic theory and harmonic analysis. The book is addressed to all researchers and graduate students interested in this field.

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Verlag
Birkhäuser
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
3034601948
ISBN 13 
9783034601948
Einband
Gebundene Ausgabe
Anzahl der Seiten
211
Kontakt zum Hersteller
Springer-Verlag GmbH
customerservice@springernature.com

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Baden-Württemberg
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Deutschland

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9783034803113: Stability of Operators and Operator Semigroups (Operator Theory: Advances and Applications, Band 209)

Vorgestellte Ausgabe

ISBN 10:  3034803117 ISBN 13:  9783034803113
Verlag: Birkhäuser, 2012
Softcover