AN INVARIANT THEOREM IN DUALITY

被引：0

作者：

Yang Yunyan ^{[1
]}

Li Ronglu ^{[2
]}

机构：

[1] Harbin Engn Univ, Dept Math, Harbin 150001, Peoples R China

[2] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

来源：

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2010年 / 47卷 / 03期

关键词：

Absolute convergence; subseries convergence; equicontinuity;

D O I：

10.1556/SScMath.2009.1131

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The concept of absolute convergence for series is generalized to locally convex spaces and an invariant theorem for absolutely convergent series in duality is established: when a locally convex space X is weakly sequentially complete, an admissible topology which is strictly stronger than the weak topology on X in the dual pair (X; X') is given such that it has the same absolutely convergent series as the weak topology in X.

引用

页码：299 / 310

页数：12

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