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

被引：13
|
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
收藏
页码：970 / 986
页数：17
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