One-sided ideals of the non-commutative Schwartz space

被引：2

作者：

Piszczek, Krzysztof ^{[1
]}

机构：

[1] Adam Mickiewicz Univ, Fac Math & Comp Sci, PL-61614 Poznan, Poland

来源：

MONATSHEFTE FUR MATHEMATIK | 2015年 / 178卷 / 04期

关键词：

Frechet space; (Frechet) LMC-algebra; (one-sided) Ideal; Fixed ideal; LOCALLY CONVEX-SPACES; OPERATOR ANALOGS; BANACH-ALGEBRAS;

D O I：

10.1007/s00605-015-0758-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that maximal one-sided ideals of the non-commutative Schwartz space are closed. We also characterize all closed one-sided ideals of this algebra. As a result, all maximal left ideals are fixed.

引用

页码：599 / 610

页数：12

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