Discrete(h,k)-Dichotomy and Remarks on the Boundedness of the Projections

摘要

The present paper treats a concept of(h,k)-dichotomy for linear discrete systems. Sufficient conditions for thek-boundedness of the projection sequences that give the dichotomy are presented and an illustrative example shows the connection between the growth of the system and the bound of the sequence of projections. Thus the growth of the system that is assumed in the theorems is essential.