A-numerical radius and A-norm inequalities for semi-Hilbertian space operators

被引：14

作者：

Qiao, Hongwei ^{[1
]}

Hai, Guojun ^{[1
]}

Bai, Eburilitu ^{[1
]}

机构：

[1] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China

来源：

LINEAR & MULTILINEAR ALGEBRA | 2022年 / 70卷 / 21期

关键词：

A-numerical radius; inequality; A-norm; semi-inner product;

D O I：

10.1080/03081087.2021.1971599

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let (H, <., .>) be a complex Hilbert space and A be a positive bounded linear operator on H. The semi-inner product < x, y >(A) := < Ax, y >, x, y is an element of H, induces a semi-norm parallel to . parallel to(A) on H. Let omega(A)(T) and parallel to T parallel to(A) denote the A-numerical radius and the A-operator semi-norm of an operator T in semi-Hilbertian space (H, <., .>(A)), respectively. In this paper, some new bounds for the A-numerical radius of operators in semi-Hilbertian space are obtained, which improve the existing ones. In particular, a refinement of the triangle inequality for A-operator semi-norm is also shown.

引用

页码：6891 / 6907

页数：17

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