When is f(x,y)=u(x)+v(y)?

被引：15

作者：

Cowsik, RC

Klopotowski, A

Nadkarni, MG

机构：

[1] Univ Bombay, Dept Math, Bombay 400098, Maharashtra, India

[2] Univ Paris 13, Inst Galilee, F-93430 Villetaneuse, France

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 1999年 / 109卷 / 01期

关键词：

subsets of cartesian products; good set;

D O I：

10.1007/BF02837767

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X and Y be arbitrary non-empty sets and let S a non-empty subset of X x Y. We give necessary and, sufficient conditions on S which ensure that every real valued function on S is the sum of a function on X and a function on Y.

引用

页码：57 / 64

页数：8