New estimates for the Berezin number and Berezin norm

محورهای موضوعی : 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

تاریخ دریافت : 1403/08/02 تاریخ پذیرش : 1403/10/27 تاریخ انتشار : 1403/11/06

کلید واژه: Berezin number, Berezin norm, inner product, Cartesian decomposition,

چکیده مقاله :

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. 

 

چکیده انگلیسی:

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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