On numerical radius and Berezin number inequalities for reproducing kernel Hilbert space

被引：0

作者：

Yamanci, Ulas ^{[1
]}

Gurdal, Mehmet ^{[2
]}

机构：

[1] Suleyman Demirel Univ, Dept Stat, TR-32260 Isparta, Turkey

[2] Suleyman Demirel Univ, Dept Math, TR-32260 Isparta, Turkey

来源：

NEW YORK JOURNAL OF MATHEMATICS | 2017年 / 23卷

关键词：

Hardy-Hilbert type inequalities; Berezin number; numerical radius; positive operator; OPERATORS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The fundamental inequality w (A(n)) <= w(n) (A), (n = 1; 2, ...) for the numerical radius is much studied in the literature. But the inverse inequalities for the numerical radius are not well known. By using Hardy-Hilbert type inequalities, we give inverse numerical radius inequalities for reproducing kernel Hilbert spaces. Also, we obtain inverse power inequalities for the Berezin number of an operator.

引用

页码：1531 / 1537

页数：7

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