International Journal of Mathematics and Mathematical Sciences
Volume 15 (1992), Issue 4, Pages 635-640
doi:10.1155/S016117129200084X

An extension of Horn's theorem for a space of locally integrable functions

Hernan R. Henriquez and Eduardo A. Hernandez

Universidad de Santiago de Chile, Departamento de Matemática, Casilla 5659, Correo 2, Santiago, Santiago, Chile

Abstract

In this paper we extend the fixed point theorem of Horn's to the space of locally integrable functions from (,0] into a Banach space X.