Lyapunov theorems for Banach spaces
- 1 July 1994
- journal article
- Published by American Mathematical Society (AMS) in Bulletin of the American Mathematical Society
- Vol. 31 (1) , 44-49
- https://doi.org/10.1090/s0273-0979-1994-00495-1
Abstract
We present a spectral mapping theorem for semigroups on any Banach space E. From this, we obtain a characterization of exponential dichotomy for nonautonomous differential equations for E-valued functions. This characterization is given in terms of the spectrum of the generator of the semigroup of evolutionary operators.Keywords
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