Quasi-uniformities on real vector spaces

被引：0
|
作者：
Alegre, C
Ferrer, J
Gregori, V
机构：
[1] UNIV POLITECN VALENCIA,ESCUELA UNIV INFORMAT,DEPT MATEMAT APLICADA,E-46071 VALENCIA,SPAIN
[2] UNIV VALENCIA,FAC MATEMAT,DEPT ANAL MATEMAT,E-46100 BURJASSOT,SPAIN
[3] UNIV POLITECN VALENCIA,ESCUELA UNIV GANDIA,GRAO DE GANDIA 46730,SPAIN
来源：
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 1997年 / 28卷 / 07期
关键词：
quasi-uniformities; pseudo-topological vector spaces; pseudoconvex spaces; Hahn-Banach theorem;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We define the class of pseudo-topological vector spaces which are an adequate extension of the real topological vector spaces, since they have some analogous properties and are provided of a translation invariant quasi-uniformity. We give a type of Hahn-Banach theorem in the frame of pseudo-topological vector spaces, The classical result for locally convex spaces follows as a particular case.
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页码：929 / 937
页数：9
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