Lyapunov theorems for Banach spaces
Montgomery-Smith, Stephen, 1963-
Latushkin, Yuri, 1956-
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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.
Mathematics publications (MU)