Automatic continuity for Banach algebras with finite-dimensional radical

被引：0
作者：
Pham, Hung Le [1 ]
机构：
[1] Univ Leeds, Dept Pure Math, Leeds LS2 9JT, W Yorkshire, England
来源：
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2006年 / 81卷
关键词：
Banach algebra; uniqueness of norm; automatic continuity; derivation; finite-dimensional;
D O I：
10.1017/S1446788700015883
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The paper [3] proved a necessary algebraic condition for a Banach algebra A with finite-dimensional radical R to have a unique complete (algebra) norm, and conjectured that this condition is also sufficient. We extend the above theorem. The conjecture is confirmed in the case where A is separable and A/R is commutative, but is shown to fail in general. Similar questions for derivations are discussed.
引用
收藏
页码：279 / 295
页数：17
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