On the Hahn-Banach theorem for groups

被引：10
|
作者：
Badora, Roman [1 ]
机构：
[1] Silesian Univ, Inst Math, PL-40007 Katowice, Poland
来源：
ARCHIV DER MATHEMATIK | 2006年 / 86卷 / 06期
关键词：
Primary 46A22; 39B82;
D O I：
10.1007/s00013-005-1570-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let G be the family of all groups such that under each subadditive functional there exists an additive functional. We show that the class G is between the class of all amenable groups and the family of all groups for which the Hyers stability theorem for homomorphisms holds true. Next, we generalize the classical Hahn-Banach theorem to the class G.
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页码：517 / 528
页数：12
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