A note on joint numerical radius

IF 1 3区数学 Q1 MATHEMATICS

Linear Algebra and its Applications Pub Date : 2025-03-18 DOI:10.1016/j.laa.2025.03.008

Amit Maji , Atanu Manna , Ram Mohapatra

引用次数: 0

Abstract

We investigate the Crawford number and numerical radius of model operators on Hilbert spaces. For an n-tuple of doubly commuting shifts, the joint numerical radius and the joint Crawford number are determined. Additionally, we use the Hermite-Hadamard inequality and the Orlicz function to derive new and improved joint numerical radius inequalities of operators on Hilbert spaces.

查看原文本刊更多论文

求助全文

约1分钟内获得全文求助全文

来源期刊

Linear Algebra and its Applications 数学-应用数学

CiteScore

2.20

自引率

9.10%

发文量

333

审稿时长

13.8 months

期刊介绍： Linear Algebra and its Applications publishes articles that contribute new information or new insights to matrix theory and finite dimensional linear algebra in their algebraic, arithmetic, combinatorial, geometric, or numerical aspects. It also publishes articles that give significant applications of matrix theory or linear algebra to other branches of mathematics and to other sciences. Articles that provide new information or perspectives on the historical development of matrix theory and linear algebra are also welcome. Expository articles which can serve as an introduction to a subject for workers in related areas and which bring one to the frontiers of research are encouraged. Reviews of books are published occasionally as are conference reports that provide an historical record of major meetings on matrix theory and linear algebra.