On a Natural Ordering in Strictly Real Banach Algebras

被引：0
|
作者：
M. A. Nejjari
机构：
[1] Centre régional des metiers de l’éducation et de la formation (CRMEF),
来源：
Mediterranean Journal of Mathematics | 2016年 / 13卷
关键词：
Primary 46H05; Secondary 46K05; Real algebras; convex cone; positive elements; zero-divisors;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We show that in a real Banach algebra the connected component of the group of invertible elements containing the unit can not be convex cone except when the algebra is strictly real. We also get that in a strictly real Banach algebra containing no zero divisors any invertible element is either positive or negative.
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页码：2753 / 2758
页数：5
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