On maximal immediate extensions of valued division algebras

被引：1
|
作者：
Schörner, E [1 ]
机构：
[1] Univ Munich, Math Inst, D-80333 Munich, Germany
来源：
FORUM MATHEMATICUM | 2003年 / 15卷 / 01期
关键词：
D O I：
10.1515/form.2003.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show an extension theorem for strictly contracting bilinear mappings into a spherically complete valued vector space and we apply this result to prove that every maximal valued division algebra having the same characteristic as its residue division algebra is spherically complete.
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页码：123 / 134
页数：12
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