Lyapunov theorems for Banach spaces
Functional Analysis
2016-09-06 v1 Spectral Theory
Abstract
We present a spectral mapping theorem for semigroups on any Banach space . From this, we obtain a characterization of exponential dichotomy for nonautonomous differential equations for -valued functions. This characterization is given in terms of the spectrum of the generator of the semigroup of evolutionary operators.
Cite
@article{arxiv.math/9302216,
title = {Lyapunov theorems for Banach spaces},
author = {Yuri Latushkin and Stephen Montgomery-Smith},
journal= {arXiv preprint arXiv:math/9302216},
year = {2016}
}
Comments
6 pages