摘要
主要讨论了正压缩算子Jordan积的谱,刻画了正压缩算子Jordan积的最大最小谱点以及正交投影Jordan积的谱.
In this note, the spectrum of Jordan products of positive contractions are discussed. We shall establish characterizations of the minimum and maximum spectrum points of Jordan products of positive contractions. And a characterization of minimum spectral points of Jordan products of orthogonal projections is given.
出处
《数学学报(中文版)》
CSCD
北大核心
2016年第3期421-432,共12页
Acta Mathematica Sinica:Chinese Series
基金
国家自然科学基金资助项目(11571211)
重庆科技学院博士教授基金(CK2010B09)
关键词
正算子
Jordan积
数值域
谱
正交投影
positive operator
Jordan product
numerical range
spectrum
orthogonal projection