AUTOMATIC-CONTINUITY OF HOMOMORPHISMS IN TOPOLOGICAL-ALGEBRAS

被引：3
|
作者：
BHATT, SJ
机构：
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1993年 / 119卷 / 01期
关键词：
UNIFORM SEMINORM; LOCALLY CONVEX Q-ALGEBRAS; UNIFORM ALGEBRAS; REGULAR ALGEBRAS;
D O I：
10.2307/2159834
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A homomorphism from a locally convex Q-algebra to a uniform topological algebra is continuous. A one-to-one homomorphism from a regular complete spectrally bounded uniform topological algebra onto a dense subalgebra of a semisimple locally m-convex Q-algebra is open. Examples are discussed to show that none of the assumptions in these results can be omitted.
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页码：135 / 139
页数：5
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