共 2 条
[1]
Rudin W., 1989, FUNCTIONAL ANAL
[2]
Taylor A.E., 1958, INTRO FUNCTIONAL ANA
The Closed Graph theorem for nonlinear maps
被引：2
作者：
Tineo, A
[1
]
机构：
[1] Univ Los Andes, Dept Matemat, Merida 5101, Venezuela
关键词：
Closed Graph;
invariant metrics;
uniformly continuous;
D O I：
10.1006/jmaa.1999.6266
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let f be a function defined between Banach spaces, with the property of having closed graph. If f is "uniformly directionally continuous," we will show that f is uniformly continuous. If f is linear, then f is uniformly directionally continuous and so, our result improves the classical Closed Graph Theorem. We also obtain some applications of our main results. (C) 1999 Academic Press.
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页码：77 / 85
页数：9
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