SUPPORTING VECTORS OF CONTINUOUS LINEAR PROJECTIONS

  1. García-Pacheco, Francisco Javier
  2. Naranjo-Guerra, Enrique
Revista:
International Journal of Functional Analysis, Operator Theory and Applications

ISSN: 0975-2919

Año de publicación: 2018

Volumen: 9

Número: 3

Páginas: 85-95

Tipo: Artículo

DOI: 10.17654/FA009030085 GOOGLE SCHOLAR lock_openAcceso abierto editor

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.