ON THE JOINT NUMERICAL RADIUS OF GENERALIZED SPHERICAL ALUTHGE TRANSFORMS OF OPERATORS

被引：0
作者：
Naainia, Imane [1 ]
Zerouali, El Hassan [2 ,3 ]
机构：
[1] Mohammed V Univ Rabat, Fac Sci, Ctr Math Res CeReMaR, BP 1014, Rabat, Morocco
[2] Mohammed V Univ Rabat, Fac Sci, BP 1014, Rabat, Morocco
[3] Univ Iowa, Dept Math, Iowa City, IA USA
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2024年 / 27卷 / 01期
关键词：
Polar decomposition; generalized spherical Aluthge transform; joint numerical radius; joint operator norm; COMMUTING N-TUPLES; SPECTRA; BOUNDS;
D O I：
10.7153/mia-2024-27-07
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we generalize and refine several operator inequalities involving the joint numerical radius and the joint operator norm of spherical Aluthge transform to generalized spherical Aluthge transforms. Moreover, we investigate the link between nontrivial joint invariant subspaces of the generalized spherical Aluthge transform and the original commuting d -tuples of bounded operators.
引用
收藏
页码：103 / 114
页数：12
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