The principal axis theorem for holomorphic functions

被引：4
|
作者：
Gräter, J [1 ]
Klein, M [1 ]
机构：
[1] Univ Potsdam, Inst Math, D-14469 Potsdam, Germany
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2000年 / 128卷 / 02期
关键词：
valuations; Hensel's Lemma; principal axis theorem; analytic perturbation; theory;
D O I：
10.1090/S0002-9939-99-05451-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An algebraic approach to Rellich's theorem is given which states that any analytic family of matrices which is normal on the real axis can be diagonalized by an analytic family of matrices which is unitary on the real axis. We show that this result is a special version of a purely algebraic theorem on the diagonalization of matrices over fields with henselian valuations.
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页码：325 / 335
页数：11
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