A-numerical radius inequalities and A-translatable radii of semi-Hilbert space operators

被引：8

作者：

Guesba, Messaoud ^{[1
]}

Bhunia, Pintu ^{[2
]}

Paul, Kallol ^{[2
]}

机构：

[1] El Oued Univ, Dept Math, Fac Exact Sci, El Oued 39000, Algeria

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

来源：

FILOMAT | 2023年 / 37卷 / 11期

关键词：

Positive operator; A-numerical radius; A-seminorm distance; A-numerical radius distance; Inequality; PRODUCTS;

D O I：

10.2298/FIL2311443G

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We develop A-numerical radius inequalities of the product and the commutator of semi-Hilbert space operators using the notion of A-numerical radius distance and A-seminorm distance. Further, we introduce a pair of translatable radii of semi-Hilbert space operators in the direction of another operator and obtain related inequalities which generalize the relevant inequalities studied in the setting of Hilbert space.

引用

页码：3443 / 3456

页数：14

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