Commuting Tuples of Normal Operators in Hilbert Spaces

被引：5
|
作者：
Baklouti, Hamadi [1 ]
Feki, Kais [1 ]
机构：
[1] Univ Sfax, Fac Sci Sfax, Dept Math, BP 1171, Sfax 3000, Tunisia
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2020年 / 14卷 / 06期
关键词：
Normal operator; Tensor product; Spectral radius; Numerical radius; Operator norm; TENSOR-PRODUCTS; SPECTRAL-RADIUS;
D O I：
10.1007/s11785-020-01013-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we aim to study the tensor product and the tensor sum of two jointly-normal operators. Mainly, an alternative proof is given for the result of ChO and Takaguchi (Pac J Math 95(1):27-35,1981) asserting that: if T is jointly-normal, then r(T) = parallel to T parallel to = omega(T), where r(T), omega(T) and parallel to T parallel to denote respectively the joint spectral radius, the joint numerical radius and the joint norm of an operator tuple T. It seems that this new method allows to handle more general situations, namely the operators acting on semi-hilbertian spaces.
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收藏
页数：19
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