Discrete \((h,k)\)-dichotomy and remarks on the boundedness of the projections
Summary: The present paper treats a concept of \((h,k)\)-dichotomy for linear discrete systems. Sufficient conditions for the \(k\)-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.
\(k\)-boundedness of the projection sequences
scientific article; zbMATH DE number 6371136
scientific article