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Lyapunov theorems for Banach spaces
Author(s):
Yu.
Latushkin;
S.
Montgomery-Smith
Journal:
Bull. Amer. Math. Soc.
31
(1994),
44-49.
MathSciNet review:
1249356
Retrieve article in:
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Abstract |
References |
Additional information
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.
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Additional Information:
DOI:
10.1090/S0273-0979-1994-00495-1
PII:
S 0273-0979(1994)00495-1
Keywords:
Hyperbolicity,
evolution family,
exponential dichotomy,
weighted composition operators,
spectral mapping theorem
Copyright of article:
Copyright
1994,
American Mathematical Society
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