Some numerical radius bounds

被引：1

作者：

Sahoo, Satyajit ^{[1
]}

Moradi, Hamid Reza ^{[2
]}

Sababheh, Mohammad ^{[3
]}

机构：

[1] Natl Inst Sci Educ & Res, Sch Math Sci, Bhubaneswar, India

[2] Islamic Azad Univ, Dept Math, Mashhad Branch, Mashhad, Iran

[3] Princess Sumaya Univ Technol, Dept Basic Sci, Amman, Jordan

来源：

ACTA SCIENTIARUM MATHEMATICARUM | 2024年

关键词：

Numerical radius; Aluthge transform; Hilbert-Schmidt numerical radius; INEQUALITIES; REFINEMENTS; NORM;

D O I：

10.1007/s44146-024-00150-w

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we first give two new upper bounds for the numerical radius of the product of two Hilbert space operators. The obtained bounds are compared numerically with previously known bounds. After that, the Hilbert-Schmidt numerical radius is studied for the generalized Aluthge transform and a pair of commuting operators. In the end, off-diagonal, tridiagonal, and anti-tridiagonal operator matrices are treated, where many upper bounds that extend some existing results are shown.

引用

页数：19

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