Oseledets decomposition on sub semiflow

The existence of the Oseledets decomposition on continuously embedded subspaces of Banach spaces is proved in this paper. Natural assumptions facilitating such transfer of the Oseledets decomposition are presented, notably conditions often met by dynamical systems generated by differential equations. For more information see https://ejde.math.txstate.edu/Volumes/2024/45/abstr.html