On inequalities for A-Berezin radius of operators

被引：0
作者：
Gurdal, Mehmet [1 ]
Basaran, Hamdullah [1 ]
机构：
[1] Suleyman Demirel Univ, Dept Math, Isparta, Turkiye
来源：
AFRIKA MATEMATIKA | 2024年 / 35卷 / 02期
关键词：
Positive operator; Functional Hilbert space; Berezin symbol; A-Berezin number; A-adjoint operator; A-selfadjoint operator; NUMERICAL RADIUS; NUMBER INEQUALITIES; QUESTIONS; SYMBOLS; BOUNDS; NORM;
D O I：
10.1007/s13370-024-01186-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We compute certain inequalities for B-Berezin radius of 2x2 operator matrices in the study that generalize and refine earlier inequalities. Furthermore, we construct A-Berezin radius inequalities of operators in B-A,B-Upsilon(H) that improve on the current inequalities in Huban (Turk J Math 46(1):189-206, 2022). In addition, we establish A-Berezin radius bounds for sum of product of operators in B-A,B-Upsilon(H), which improve on the previous bounds.
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页数：20
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