Compact operators on spaces with asymmetric norm
泛函分析
2007-05-23 v1 一般拓扑
摘要
The aim of the present paper is to define compact operators on asymmetric normed spaces and to study some of their properties. The dual of a bounded linear operator is defined and a Schauder type theorem is proved within this framework. The paper contains also a short discussion on various completeness notions for quasi-metric and for quasi-uniform spaces.
引用
@article{arxiv.math/0608031,
title = {Compact operators on spaces with asymmetric norm},
author = {Stefan Cobzaş},
journal= {arXiv preprint arXiv:math/0608031},
year = {2007}
}
备注
12 pages