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.
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页数：14
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