We obtain new inequalities involving Berezin norm and Berezin number of bounded linear
operators defined on a reproducing kernel Hilbert space H. Among many inequalities …

For a bounded linear operator, acting in the reproducing kernel Hilbert space H= H\left
(Ω\right) H= H Ω over some set Ω Ω, its Berezin symbol (or Berezin transform) AA~ is defined …

Davis-Wielandt-Berezin radius inequalities via Dragomir inequalities Page 1 Operators and
Matrices Volume 15, Number 4 (2021), 1445–1460 doi:10.7153/oam-2021-15-90 DAVIS–WIELANDT–BEREZIN …

In this article, we establish several Berezin number inequalities for the quadratic weighted
operator geometric mean of operators on reproducing kernel Hilbert spaces and numerical …

We establish some upper bounds for Berezin number inequalities including inequalities for
2× 2 operator matrices and their off-diagonal parts. Among other inequalities, it is shown that …

In this paper, we obtain some Berezin number inequalities based on the definition of Berezin
symbol. Among other inequalities, we show that if A, B be positive definite operators in B (H) …

In this work, the concept of the Davis-Wielandt Berezin number is introduced. Some upper
and lower bounds for the Davis-Wielandt Berezin number are introduced. A connection …

We prove new Grüss type inequalities for the Berezin symbol of some operator products. As
biproducts, we find new relations between the Berezin number, the Berezin norm and some …

In this paper, we obtain some inequalities for the Berezin number of operators on
reproducing kernel Hilbert spaces by using the Krein–Lin inequality and refinements of the …

The weighted and the Davis-Wielandt Berezin number Page 1 Operators and Matrices
Volume 17, Number 2 (2023), 469–484 doi:10.7153/oam-2023-17-31 THE WEIGHTED AND …