Davis-Wielandt-Berezin radius inequalities of reproducing kernel Hilbert space operators

被引：1

作者：

Sen, Anirban ^{[1
]}

Bhunia, Pintu ^{[2
]}

Paul, Kallol ^{[1
]}

机构：

[1] Jadavpur Univ, Dept Math, Kolkata 700032, W Bengal, India

[2] Indian Inst Sci, Dept Math, Bengaluru 560012, Karnataka, India

来源：

AFRIKA MATEMATIKA | 2023年 / 34卷 / 03期

关键词：

Davis-Wielandt radius; Berezin norm; Berezin number; Reproducing kernel Hilbert space; NUMERICAL RADIUS; UPPER-BOUNDS;

D O I：

10.1007/s13370-023-01089-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Several upper and lower bounds of the Davis-Wielandt-Berezin radius of bounded linear operators defined on a reproducing kernel Hilbert space are given. Further, an inequality involving the Berezin number and the Davis-Wielandt-Berezin radius for the sum of two bounded linear operators is obtained, namely, if A and B are reproducing kernel Hilbert space operators, then eta(A + B) <= eta(A) + eta(B) + ber( A* B + B* A), where eta(center dot) and ber(center dot) are the Davis-Wielandt-Berezin radius and the Berezin number, respectively.

引用

页数：14

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