文章基本信息
- 标题：Double multipliers on topological algebras
- 本地全文：下载
- 作者：L. A. Khan ; N. Mohammad ; A. B. Thaheem 等
- 期刊名称：International Journal of Mathematics and Mathematical Sciences
- 印刷版ISSN：0161-1712
- 电子版ISSN：1687-0425
- 出版年度：1999
- 卷号：22
- 期号：3
- 页码：629-636
- DOI：10.1155/S0161171299226294
- 出版社：Hindawi Publishing Corporation
- 摘要：
The main purpose of this paper is to investigate some topological properties of the double multiplier algebra on a topological algebra. Let M d ( A ) be the double multiplier algebra on a topological algebra A , and let u and s be the uniform and strong operator topologies on M d ( A ) , respectively. It is shown, under some additional hypotheses on A , that
(1) M d ( A ) is u - and s -complete;
(2) A is a u -closed two-sided ideal in M d ( A ) ;
(3) A is s -dense in M d ( A ) ;
(4) s and u have the same bounded sets;
(5) each continuous onto homomorphism ϕ : A → B has a unique extension ϕ ˜ : ( M d ( A ) , s A ) → ( M d ( B ) , s B ) .
