A-DAVIS-WIELANDT-BEREZIN RADIUS INEQUALITIES

被引：8

作者：

Gurdal, Verda ^{[1
]}

Huban, Mualla Birgul ^{[2
]}

机构：

[1] Suleyman Demirel Univ, Dept Math, TR-32260 Isparta, Turkiye

[2] Isparta Univ Appl Sci, ?, Isparta, Turkiye

来源：

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2023年 / 72卷 / 01期

关键词：

Berezin symbol; A-Davis-Wielandt-Berezin radius; A-Berezin number; A-Berezin norm; semi inner product; reproducing kernel Hilbert spaces; SHELL;

D O I：

10.31801/cfsuasmas.1107024

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider operator V on the reproducing kernel Hilbert space 7-l = 7-l (ohm) over some set ohm with the reproducing kernel KH,lambda (z) = K (z, lambda) and define A-Davis-Wielandt-Berezin radius eta A (V ) by the formula [GRAPHICS] and V is the Berezin symbol of V where any positive operator A-induces a semi-inner product on 7-l is defined by (x, y)A = (Ax, y) for x, y E 7-l. We study equality of the lower bounds for A-Davis-Wielandt-Berezin radius mentioned above. We establish some lower and upper bounds for the A-Davis-Wielandt-Berezin radius of reproducing kernel Hilbert space operators. In addition, we get an upper bound for the A-Davis-Wielandt-Berezin radius of sum of two bounded linear operators.

引用

页码：182 / 198

页数：17

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