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

页码：1427 / 1444

页数：18

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