F-normed spaces and linear operators

被引：0
|
作者：
Sookoo, Norris [1 ]
机构：
[1] Univ Trinidad & Tobago, Dept Math, Tarouba Link Rd, San Fernando, Trinidad Tobago
来源：
JOURNAL OF INTERDISCIPLINARY MATHEMATICS | 2021年 / 24卷 / 04期
关键词：
f-norm; Linear operator;
D O I：
10.1080/09720502.2020.1826628
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we generalize some results about norms and linear operators on normed spaces. We first present some results about norms. Then we consider conditions for continuity of an f-norm on a locally convex space. Finally we give some properties of the Minkowski 2-functional of 2-convex, balanced and absorbing subsets of a linear space which are defined with respect to the f-norm.
引用
收藏
页码：911 / 919
页数：9
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