ON NUMERICAL RANGE AND NUMERICAL RADIUS OF CONVEX FUNCTION OPERATORS

被引：3

作者：

Zaiz, Khaoula ^{[1
]}

Mansour, Abdelouahab ^{[1
]}

机构：

[1] Univ El Oued, Dept Math, Operators Theory & PDE Fdn & Applicat Lab, POB 789, El Oued 39000, Algeria

来源：

KOREAN JOURNAL OF MATHEMATICS | 2019年 / 27卷 / 04期

关键词：

Numerical range; numerical radius; convex operator function; self-adjoint operator; INEQUALITIES;

D O I：

10.11568/kjm.2019.27.4.879

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove some interesting inclusions concerning the numerical range of some operators and the numerical range of theirs ranges with a convex function. Further, we prove some inequalities for the numerical radius. These inclusions and inequalities are based on some classical convexity inequalities for non-negative real numbers and some operator inequalities.

引用

页码：879 / 898

页数：20

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