New estimates for the Berezin number and Berezin norm
الموضوعات :
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
الکلمات المفتاحية: Berezin number, Berezin norm, inner product, Cartesian decomposition,
ملخص المقالة :
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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