SOME INEQUALITIES RELATED TO NUMERICAL RADIUS AND DISTANCE FROM SCALAR OPERATORS IN HILBERT SPACES

被引：3

作者：

Kaadoud, Mohamed Chraibi ^{[1
]}

Benabdi, El Hassan ^{[2
]}

Guesba, Messaoud ^{[3
]}

机构：

[1] Cadi Ayyad Univ, Fac Sci Semlalia, Dept Math, Marrakech, Morocco

[2] Mohammed V Univ Rabat, Dept Math, Lab Math Stat & Applicat, Fac Sci, Rabat, Morocco

[3] Echahid Hamma Lakhdar Univ, Fac Exact Sci, Dept Math, El Oued 39000, Algeria

来源：

OPERATORS AND MATRICES | 2023年 / 17卷 / 03期

关键词：

and phrases; Numerical radius; positive operator; normaloid; PRODUCTS; SPECTRUM; NORM;

D O I：

10.7153/oam-2023-17-57

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we characterize bounded linear operators A,B on a complex Hilbert space such that inf IIA + B -lambda III= inf IIA -lambda III+ inf IIB -lambda III,where I is the identity op-lambda EC lambda EC lambda EC erator. We also establish some inequalities satisfied by the distance from scalar operators for products of two complex Hilbert space operators.

引用

页码：857 / 866

页数：10

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