Banach-Steinhaus theorem for linear relations on asymmetric normed spaces

We study the continuity of linear relations defined on asymmetric normed spaces with values in normed spaces. We give some geometric charactirization of these mappings. As an application, we prove the Banach-Steinhaus theorem in the framework of asymmetric normed spaces.

Bibliographic Details
Main Authors: K. Bouadjila, A. Tallab, E. Dahia
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2022-06-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
Online Access:https://journals.pnu.edu.ua/index.php/cmp/article/view/5050