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

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Received: 2024-10-23 Accepted : 2025-01-16 Published : 2025-01-25

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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