INNER PRODUCT INEQUALITIES THROUGHCARTESIAN DECOMPOSITION WITH APPLICATIONSTO NUMERICAL RADIUS INEQUALITIES

被引：1
|
作者：
Nourbakhsh, Saeedatossadat [1 ]
Hassani, Mahmoud [1 ]
Omidvar, Mohsen Erfanian [1 ]
Moradi, Hamid Reza [1 ]
机构：
[1] Islamic Azad Univ, Mashhad Branch, Dept Math, Mashhad, Iran
来源：
OPERATORS AND MATRICES | 2024年 / 18卷 / 01期
关键词：
Numerical radius; operator norm; inner product; Cartesian decomposition; OPERATORS; NORM;
D O I：
10.7153/oam-2024-18-05
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper intends to show several inner product inequalities using the Cartesian de-composition of the operator. We utilize the obtained results to get norm and numerical radiusinequalities. Our results extend and improvesome earlier inequalities. Among other inequalities,it is revealed that ifTis anxncomplex matrix with the imaginary partIT=T-T*2i,then12max(parallel to parallel to TT*-iIT2 parallel to parallel to 12,parallel to parallel to T*T+iIT2 parallel to parallel to 12)omega(T)which is a significant improvement of the classical inequality12||T||omega(T).
引用
收藏
页码：69 / 81
页数：13
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