SOME GENERAL QUADRATIC NUMERICAL RADIUS INEQUALITIES FOR THE OFF-DIAGONAL PARTS OF 2 x 2 BLOCK OPERATOR MATRICES

被引：2
|
作者：
Li, Rongfang [1 ]
Wu, Deyu [1 ]
Chen, Alatancang [2 ]
机构：
[1] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China
[2] Inner Mongolia Normal Univ, Hohhot 010021, Peoples R China
来源：
OPERATORS AND MATRICES | 2021年 / 15卷 / 04期
关键词：
Bounded block operator matrix; quadratic numerical range; qadratic numerical radius; mixed Schwarz inequality; Young inequality; Jensen inequality;
D O I：
10.7153/oam-2021-15-89
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the elementary properties for the quadratic numerical radius are introduced. Furthermore, some general quadratic numerical radius inequalities for the off-diagonal parts of 2 x 2 block operator matrices are studied. These inequalities are based on the generalized mixed Schwarz inequality, Young inequality and Jensen inequality.
引用
收藏
页码：1427 / 1444
页数：18
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