The point spectrum of unitary dilations in Krein spaces

被引：0
|
作者：
Temme, D
机构：
[1] 1093 XM Amsterdam
来源：
MATHEMATISCHE NACHRICHTEN | 1998年 / 194卷
关键词：
indefinite metric; unitary dilations; point spectrum;
D O I：
10.1002/mana.19981940114
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For a bicontractive operator T on a Krein space the connections between its eigenvalues and eigenstructure and the eigenvalues and eigenstructure of its minimal unitary dilation U are studied. For eigenvalues on the unit circle of T in general only part of the eigenspace of T will return as an eigenspace of U and the corresponding eigenvalue will be a singular critical point of U.
引用
收藏
页码：205 / 224
页数：20
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