Generalized numerical radius of a bounded linear operator

被引：1

作者：

Das, Namita ^{[1
]}

Jena, Mamata Rani ^{[1
]}

机构：

[1] Utkal Univ, PG Dept Math, Bhubaneswar 751004, India

来源：

ADVANCES IN OPERATOR THEORY | 2023年 / 8卷 / 04期

关键词：

Hilbert space; The generalized numerical radius; Hyponormal operator; Involutions; Nilpotent operators; INEQUALITY;

D O I：

10.1007/s43036-023-00289-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we considered the generalized numerical radius of a bounded linear operator defined from a Hilbert space H into itself and derived certain basic properties of generalized numerical radius of normal and hyponormal operators. We then concentrate on nilpotent operators and operators that are involutions and idempotents and present estimates for the generalized numerical radius. We also considered several examples to illustrate our results.

引用

页数：16

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