The Asymptotic Behaviour of Semigroups of Linear Operators (Operator Theory: Advances and Applications) | 
 enlarge | Author: Jan Van Neerven
Publisher: Birkhaeuser Basel
Category: Book
List Price: $155.00
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Sales Rank: 3281207
Media: Hardcover
Edition: 1
Pages: 260
Number Of Items: 1
Shipping Weight (lbs): 1.4
Dimensions (in): 9.3 x 6.3 x 0.8
ISBN: 3764354550
Dewey Decimal Number: 515.7246
EAN: 9783764354558
Publication Date: August 29, 1996
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Product Description
This book presents a systematic account of the theory of asymptotic behaviour of semigroups of linear operators acting in a Banach space. The focus is on the relationship between asymptotic behaviour of the semigroup and spectral properties of its infinitesimal generator. The most recent developments in the field are included, such as the Arendt-Batty-Lyubich-Vu theorem, the spectral mapp- ing theorem of Latushkin and Montgomery-Smith, Weis's theorem on stability of positive semigroup in Lp-spaces, the stability theorem for semigroups whose resolvent is bounded in a half-plane, and a systematic theory of individual stability. Addressed to researchers and graduate students with interest in the fields of operator semigroups and evolution equations, this book is self-contained and provides complete proofs.
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