SOME NEW NUMERICAL RADIUS AND HILBERT-SCHMIDT NUMERICAL RADIUS INEQUALITIES FOR HILBERT SPACE OPERATORS

被引：3

作者：

Yang, Chaojun ^{[1
]}

Xu, Minghua ^{[1
]}

机构：

[1] Changzhou Univ, Dept Math, Changzhou 213000, Peoples R China

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2023年 / 17卷 / 01期

基金：

中国博士后科学基金;

关键词：

Numerical radius; Hilbert-Schmidt numerical radius; function; Cartesian de-composition; NORM INEQUALITIES; BOUNDS;

D O I：

10.7153/jmi-2023-17-19

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we give new upper and lower bounds of numerical radius and Hilbert-Schmidt numerical radius inequalities for Hilbert space operators. In particular, we show that if X is an element of C-2 with the Cartesian decomposition X = A+ iB, then 1/4 parallel to|X|(2) +|X*|(2)parallel to(2) <= 1/root 2 omega(2) ([(B2) (0) (0) (A2)]) <= omega(2)(2) (X). This is an analog of Kittaneh in [Studia Math. 168 (2005): 73-80].

引用

页码：269 / 282

页数：14

共 22 条

[1]

Abbas H, 2020, Arxiv, DOI arXiv:2004.09955

[2] Convexity and Inequalities of Some Generalized Numerical Radius Functions [J].

Abbas, Hassane ;

Harb, Sadeem ;

Issa, Hassan .

FILOMAT, 2022, 36 (05) :1649-1662

[3] UPPER AND LOWER BOUNDS FOR THE NUMERICAL RADIUS WITH AN APPLICATION TO INVOLUTION OPERATORS [J].

Abu-Omar, Amer ;

Kittaneh, Fuad .

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2015, 45 (04) :1055-1065

[4] Hilbert-Schmidt numerical radius inequalities for operator matrices [J].

Aldalabih, Alaa ;

Kittaneh, Fuad .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2019, 581 :72-84

[5] FURTHER NUMERICAL RADIUS INEQUALITIES [J].

Alomari, Mohammad W. ;

Sahoo, Satyajit ;

Bakherad, Mojtaba .

JOURNAL OF MATHEMATICAL INEQUALITIES, 2022, 16 (01) :307-308

[6]

Audeh W, 2021, INT J MATH COMPUT SC, V16, P1161

[7] Refined and generalized numerical radius inequalities for 2 x 2 operator matrices [J].

Bani-Domi, Watheq ;

Kittaneh, Fuad .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2021, 624 (624) :364-386

[8] Norm inequalities for positive operators [J].

Bhatia, R ;

Kittaneh, F .

LETTERS IN MATHEMATICAL PHYSICS, 1998, 43 (03) :225-231

[9]

Buzano ML, 1971, REND SEM MAT U POLIT, V31, P405

[10] Hermite-Hadamard's type inequalities for operator convex functions [J].

Dragomir, S. S. .

APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (03) :766-772

← 1 2 3 →