Further refinements of the Berezin number inequalities on operators
Ulaş Yamancı, Ismail M. Karlı
Abstract
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 Young inequality. Also, we give upper bounds for ber2(A)−ber(A2) on reproducing kernel Hilbert spaces.
Topics & Concepts
MathematicsHilbert spaceInequalityPure mathematicsKernel (algebra)Reproducing kernel Hilbert spaceAlgebra over a fieldDiscrete mathematicsMathematical analysisMathematical Inequalities and ApplicationsHolomorphic and Operator TheoryAnalytic and geometric function theory