Numerical radius and unitarity

被引:0
|
作者
Takashi Sano
Atsushi Uchiyama
机构
[1] Yamagata University,Department of Mathematical Sciences, Faculty of Science
来源
Acta Scientiarum Mathematicarum | 2010年 / 76卷 / 3-4期
关键词
numerical radius; unitary operator; numerical range; 47A12; 47A63;
D O I
10.1007/BF03549843
中图分类号
学科分类号
摘要
We show that an invertible operator A is unitary if the numerical radius satisfies w(A)≦1 and w(A−1)≦1.
引用
收藏
页码:581 / 584
页数:3
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