LOCALLY UNIFORMLY CONTINUOUS-FUNCTIONS

被引：0
|
作者：
IZZO, AJ
机构：
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1994年 / 122卷 / 04期
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D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is shown that on every infinite-dimensional separable normed space there exist continuous real-valued functions that are nowhere locally uniformly continuous. An explicit example of such a function on l(p) (1 less than or equal to p < infinity) is given. It is also shown that every continuous real-valued function on a metric space can be approximated uniformly by locally uniformly continuous functions.
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页码：1095 / 1100
页数：6
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