ORTHONORMAL JORDAN BASES IN FINITE DIMENSIONAL HILBERT SPACES

被引：0
|
作者：
Nagy, Bela [1 ]
机构：
[1] Budapest Univ Technol & Econ, Dept Anal, Inst Math, H-1111 Budapest, Hungary
来源：
OPERATORS AND MATRICES | 2015年 / 9卷 / 01期
关键词：
orthonormal Jordan basis; self-commutator of operator or matrix; multiset; multiplicity; power partial isometry; Jordan-Dunford decomposition;
D O I：
10.7153/oam-09-11
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Necessary and sufficient conditions are presented for a linear operator in a finite dimensional complex or real Hilbert space to have a Jordan form in an orthonormal basis. Further, necessary conditions are given in terms of the self-commutator operator.
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页码：189 / 201
页数：13
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