%0 Journal Article
%T Spectral mapping theorem for an evolution semigroup on a space of vector-valued almost-periodic functions
%A Olivia Saierli
%J Electronic Journal of Differential Equations
%D 2012
%I Texas State University
%X We give some characterizations for exponential stability of a periodic evolution family of bounded linear operators acting on a Banach space in terms of evolution semigroups acting on a special space of almost periodic functions. As a consequence, a spectral mapping theorem is stated.
%K Periodic evolution families
%K uniform exponential stability
%K boundedness
%K evolution semigroup
%K almost periodic functions
%U http://ejde.math.txstate.edu/Volumes/2012/175/abstr.html