SUPPORTING VECTORS OF CONTINUOUS LINEAR PROJECTIONS
ISSN: 0975-2919
Year of publication: 2018
Volume: 9
Issue: 3
Pages: 85-95
Type: Article
More publications in: International Journal of Functional Analysis, Operator Theory and Applications
Abstract
This paper is aimed at studying the supporting vectors of continuous linear projections on Banach spaces, that is, the unit vectors at which a projection attains its norm. We first characterize supporting vectors of general continuous linear operators between Banach spaces. Then we characterize M-projections in terms of supporting vectors. Finally, by means of the supporting vectors again, we provide a characterization of projections of norm 1 on strictly convex Banach spaces.