Stability of Operators and Operator Semigroups (Operator Theory: Advances and Applications)

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9783034601948: Stability of Operators and Operator Semigroups (Operator Theory: Advances and Applications)
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<P>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.</P>

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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." (Laszlo Kerchy, 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)

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

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ISBN 10:  3034803117 ISBN 13:  9783034803113
Verlag: Birkhäuser, 2012
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Tanja Eisner
Verlag: Springer Basel Jul 2010 (2010)
ISBN 10: 3034601948 ISBN 13: 9783034601948
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Buchbeschreibung Springer Basel Jul 2010, 2010. Buch. Zustand: Neu. Neuware - 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. 216 pp. Englisch. Artikel-Nr. 9783034601948

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