ON GENERALIZED DAVIS-WIELANDT RADIUS INEQUALITIES OF SEMI-HILBERTIAN SPACE OPERATORS

被引：5

作者：

Bhanja, Aniket ^{[1
]}

Bhunia, Pintu ^{[2
]}

Paul, Kallol ^{[2
]}

机构：

[1] Vivekananda Coll, Dept Math, Kolkata 700063, India

[2] Jadavpur Univ, Dept Math, Kolkata 700032, W Bengal, India

来源：

OPERATORS AND MATRICES | 2021年 / 15卷 / 04期

关键词：

A-Davis-Wielandt radius; A-numerical radius; A-operator seminorm; Semi-Hilbertian space; NUMERICAL RANGE; SHELL;

D O I：

10.7153/oam-2021-15-76

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be a positive (semidefinite) operator on a complex Hilbert space H and let A = ((A O)(O A)). We obtain upper and lower bounds for the A-Davis-Wielandt radius of semiHilbertian space operators, which generalize and improve on the existing ones. Further, we derive upper bounds for the A-Davis-Wielandt radius of the sum of the product of semi-Hilbertian space operators. We also obtain upper bounds for the A-Davis-Wielandt radius of 2x2 operator matrices. Finally, we determine the exact value for the A-Davis-Wielandt radius of two operator matrices ((I X)(O O)) and ((O X)(O O)), where X is a semi-Hilbertian space operator, and I, O are the identity operator, the zero operator on H, respectively.

引用

页码：1201 / 1225

页数：25

共 28 条

[1] Metric properties of projections in semi-Hilbertian spaces [J].