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

页码：279 / 295

页数：17

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