On a New Norm on the Space of Reproducing Kernel Hilbert Space Operators and Berezin Radius Inequalities

被引：20

作者：

Bhunia, P. ^{[1
]}

Gurdal, M. ^{[2
]}

Paul, K. ^{[3
]}

Sen, A. ^{[3
]}

Tapdigoglu, R. ^{[4
,5
]}

机构：

[1] Indian Inst Sci, Dept Math, Bengaluru, Karnataka, India

[2] Suleyman Demirel Univ, Dept Math, Isparta, Turkiye

[3] Jadavpur Univ, Dept Math, Kolkata, West Bengal, India

[4] Azerbaijan State Univ Econ UNEC, Baku, Azerbaijan

[5] Khazar Univ, Dept Math, Baku, Azerbaijan

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2023年 / 44卷 / 09期

关键词：

Berezin norm; Berezin radius; bounded linear operator; reproducing kernel Hilbert space; NUMERICAL RADIUS; UPPER-BOUNDS; NUMBER; SYMBOLS;

D O I：

10.1080/01630563.2023.2221857

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we provide a new norm(a-Berezin norm) on the space of all bounded linear operators defined on a reproducing kernel Hilbert space, which generalizes the Berezin radius and the Berezin norm. We study the basic properties of the a-Berezin norm and develop various inequalities involving the a-Berezin norm. By using the inequalities we obtain various bounds for the Berezin radius of bounded linear operators, which improve on the earlier bounds. Further, we obtain a Berezin radius inequality for the sum of the product of operators, from which we derive new Berezin radius bounds.

引用

页码：970 / 986

页数：17

共 36 条

[1]

Basaran H., 2023, Montes Taurus J. Pure Appl. Math., V5, P16

[2] INEQUALITIES RELATED TO BEREZIN NORM AND BEREZIN NUMBER OF OPERATORS [J].