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

页码：181 / 190

页数：10

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