Further inequalities for the Α-numerical radius of certain 2 x 2 operator matrices

被引：4
|
作者：
Feki, Kais
Sahoo, Satyajit [1 ,2 ]
机构：
[1] Utkal Univ, P G Dept Math, Bhubaneswar 751004, India
[2] Natl Inst Sci Educ & Res Bhubaneswar NISER, Sch Math Sci, Bhubaneswar 752050, India
来源：
GEORGIAN MATHEMATICAL JOURNAL | 2023年 / 30卷 / 02期
关键词：
Positive operator; numerical radius; operator matrix; inequality;
D O I：
10.1515/gmj-2022-2204
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let Alpha = ( A O (O A)) be a 2 x 2 diagonal operator matrix whose each diagonal entry is a bounded positive (semi-definite) linear operator A acting on a complex Hilbert space H. In this paper, we derive several Alpha-numerical radius inequalities for 2 x 2 operator matrices whose entries are bounded with respect to the seminorm induced by the positive operator A on H. Some applications of our inequalities are also given.
引用
收藏
页码：213 / 226
页数：14
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