A geometric characterization of range-kernel complementarity
Functional Analysis
2023-03-27 v2
Abstract
We show that a bounded linear operator on a Banach space with closed range has range-kernel complementarity if and only if its generalized amplitude is less than . An application to the strong convergence of the iterations of a bounded linear operator is also given.
Cite
@article{arxiv.2301.08471,
title = {A geometric characterization of range-kernel complementarity},
author = {Dimosthenis Drivaliaris and Nikos Yannakakis},
journal= {arXiv preprint arXiv:2301.08471},
year = {2023}
}