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
Universidad de Santiago de Chile, Departamento de Matemática, Casilla 5659, Correo 2, Santiago, Santiago, Chile
Received 24 April 1991; Revised 16 July 1991
Copyright © 1992 Hernan R. Henriquez and Eduardo A. Hernandez. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.