Abstract:
In the paper [N. Lupa, L. H. Popescu, Generalized evolution semigroups
and general dichotomies, Results Math. 78 (2023): 112] the authors introduced
a special class of real semiflows in order to associate evolution semigroups to
not necessarily exponentially bounded evolution families, called as generalized
evolution semigroups. We give a direct proof of the spectral mapping theorem
for generalized evolution semigroups.
