$ (\omega,\mathbb{T}) $-periodic solutions of impulsive evolution equations

In this paper, we study \begin{document}$ (\omega,\mathbb{T}) $\end{document} -periodic impulsive evolution equations via the operator semigroups theory in Banach spaces \begin{document}$ X $\end{document} , where \begin{document}$ \mathbb{T}: X\rightarrow X $\end{document} is a linear isomorphism. Existence and uniqueness of \begin{document}$ (\omega,\mathbb{T}) $\end{document} -periodic solutions results for linear and semilinear problems are obtained by Fredholm alternative theorem and fixed point theorems, which extend the related results for periodic impulsive differential equations.