An extension of Segal algebras

被引：0
|
作者：
Yousofzadeh, Akram [1 ]
机构：
[1] Mobarakeh Azad Univ, Fac Math, Islamic Azad Univ, Mobarakeh Branch, Esfahan, Iran
来源：
MATEMATIKA | 2016年 / 32卷
关键词：
Frechet algebra; Segal algebra; multiplicative seminorm; approximate identity; finite dimensional Banach algebra;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study a class of dense ideals in a locally convex algebra. The results concern the relationship between this concept and abstract Segal algebra, which is introduced by Reiter in 1971. We define generalized Segal algebras and prove that a finite dimensional semisimple Banach algebra cannot be a proper generalized Segal algebra in a Frechet algebra.
引用
收藏
页码：75 / 79
页数：5
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