New estimates for the Berezin number and Berezin norm
Subject Areas : Operator theory
S. Nourbakhsh
1
,
M. Hassani
2
*
,
M. E. Omidvar
3
,
H. R. Moradi
4
1 - Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran
2 - Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran
3 - Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran
4 - Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran
Keywords: Berezin number, Berezin norm, inner product, Cartesian decomposition,
Abstract :
This paper intends to establish several inequalities employing the Cartesian decomposition of the operator. We used the results to determine the Berezin number inequalities. Our results extend and improve some earlier inequalities.
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