A functional equation which characterizes polynomial operators with applications to uniqueness^†

Sponsored by the United States Army under Contract No: DA-31-124-ARO-D-462.

Abstract

A functional equation related to Taylor's theorem in normed spaces is considered, and its most general solutions are characterized. As a byproduct, some simple local and global uniqueness results for solutions of polynomial operator equations are obtained and illustrated by problems from generalized inverses

Notes

Sponsored by the United States Army under Contract No: DA-31-124-ARO-D-462.