On Domains and Ranges of Powers of Linear Relations in Linear Spaces

摘要

Let A and B be linear relations in a linear space such that B is a restriction of A. The main result of this note is an estimate for the codimension of the range of B n in the range of A n in terms of the codimension of the range of B in the range of A and the codimension of the kernel of B in the kernel of A.