关于关节数值半径的注记

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

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引用次数: 0

摘要

研究了Hilbert空间上模型算子的Crawford数和数值半径。对于双交换位移的n元组，确定了联合数值半径和联合Crawford数。此外，我们利用Hermite-Hadamard不等式和Orlicz函数推导了Hilbert空间上算子的联合数值半径不等式。

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A note on joint numerical radius

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.

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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.