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On Berezin norm and Berezin number inequalities for sum of operators
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Abstract
The aim of this study is to obtain several inequalities involving the Berezin number and the Berezin norm for various combinations of operators acting on a reproducing kernel Hilbert space. First, we present some bounds regarding the Berezin number associated with
W
*
Q
+
W
*
Q
′
{W}^{* }Q+{W}^{* }Q^{\prime}
, where
W
W
,
Q
Q
, and
Q
′
Q^{\prime}
are three bounded linear operators. Next, several Berezin norm and Berezin number inequalities for the sum of
n
n
operators are established.
Title: On Berezin norm and Berezin number inequalities for sum of operators
Description:
Abstract
The aim of this study is to obtain several inequalities involving the Berezin number and the Berezin norm for various combinations of operators acting on a reproducing kernel Hilbert space.
First, we present some bounds regarding the Berezin number associated with
W
*
Q
+
W
*
Q
′
{W}^{* }Q+{W}^{* }Q^{\prime}
, where
W
W
,
Q
Q
, and
Q
′
Q^{\prime}
are three bounded linear operators.
Next, several Berezin norm and Berezin number inequalities for the sum of
n
n
operators are established.
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