SPHERICAL COMPLETENESS OF THE NON-ARCHIMEDEAN RING OF COLOMBEAU GENERALIZED NUMBERS

被引：0
|
作者：
Mayerhofer, Eberhard [1 ]
机构：
[1] Univ Vienna, Fac Math, Nordbergstr 15, A-1090 Vienna, Austria
来源：
BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES | 2007年 / 2卷 / 03期
关键词：
generalized functions; Colombeau theory; ultrametric spaces; spherically complete; topological rings; 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 show spherical completeness of the ring of Colombeau generalized real numbers endowed with the sharp norm. As an application, we establish a Hahn-Banach extension theorem for ultra-pseudo-normed modules of generalized functions in the sense of Colombeau.
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页码：769 / 783
页数：15
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