SUPPORTING VECTORS OF CONTINUOUS LINEAR PROJECTIONS
ISSN: 0975-2919
Año de publicación: 2018
Volumen: 9
Número: 3
Páginas: 85-95
Tipo: Artículo
Otras publicaciones en: International Journal of Functional Analysis, Operator Theory and Applications
Resumen
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.