EIGENVALUE RESOLUTION OF SELF-ADJOINT MATRICES

被引：0

作者：

Zhu, Xuwen ^{[1
]}

机构：

[1] Stanford Univ, Dept Math, 380 Serra Mall, Stanford, CA 94305 USA

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2017年 / 288卷 / 01期

关键词：

eigenvalue; resolution; self-adjoint matrices; unitary group action; PERTURBATION-THEORY;

D O I：

10.2140/pjm.2017.288.241

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Resolution of a compact group action in the sense described by Albin and Melrose is applied to the conjugation action by the unitary group on self-adjoint matrices. It is shown that the eigenvalues are smooth on the resolved space and that the trivial bundle smoothly decomposes into the direct sum of global one-dimensional eigenspaces.

引用

页码：241 / 255

页数：15

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