Numerical radius inequalities for indefinite inner product space operators

被引：2
作者：
Ren, Conghui [1 ]
Wu, Deyu [1 ]
机构：
[1] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China
来源：
ADVANCES IN OPERATOR THEORY | 2023年 / 8卷 / 02期
关键词：
Numerical radius; Inequality; Indefinite inner product space;
D O I：
10.1007/s43036-022-00239-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the numerical radius inequalities of operators in an indefinite inner product space are studied, which generalize the classical numerical radius inequalities of complex Hilbert space operators. In particular, some new upper bounds with a parameter for the numerical radius of operators are obtained, which improve the existing ones. Also, we establish several upper bounds for the numerical radius of 2 x 2 operator matrices.
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页数：18
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