ON THE ABSOLUTE CONTINUITY OF ADDITIVE AND NON-ADDITIVE FUNCTIONS

被引：3
|
作者：
Cavaliere, Paola [1 ]
De Lucia, Paolo [2 ]
De Simone, Anna [2 ]
机构：
[1] Univ Salerno, Dipartimento Matemat, Via Giovanni Paolo 2, I-84084 Fisciano, Sa, Italy
[2] Univ Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, I-80126 Naples, Italy
来源：
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI | 2014年 / 50卷 / 01期
关键词：
finitely additive function; non-additive function; absolute continuity; order-continuity;
D O I：
10.7169/facm/2014.50.1.7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We are concerned with the notions of absolute continuity in terms of 0-continuity, and of (epsilon; delta)-continuity, with respect to a finitely additive function taking values into a topological commutative group. A sufficient condition for their equivalence is established. The non-additive case of functions with values into Hausdorff topological spaces is also investigated.
引用
收藏
页码：181 / 190
页数：10
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