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arXiv · 2202.04272

Davis-Wielandt-Berezin radius inequalities of Reproducing kernel Hilbert space operators

Anirban Sen·Pintu Bhunia·Kallol Paul
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Abstract

Several upper and lower bounds of the Davis-Wielandt-Berezin radius of bounded linear operators defined on a reproducing kernel Hilbert space are given. Further, an inequality involving the Berezin number and the Davis-Wielandt-Berezin radius for the sum of two bounded linear operators is obtained, namely, if $A $ and $B$ are reproducing kernel Hilbert space operators, then $$\eta(A+B) \leq \eta(A)+\eta(B)+\textbf{ber}(A^*B+B^*A),$$ where $\eta(\cdot)$ and $\textbf{ber}(\cdot)$ are the Davis-Wielandt-Berezin radius and the Berezin number, respectively.

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Anirban Sen, Pintu Bhunia, Kallol Paul. 2022-02-09. Davis-Wielandt-Berezin radius inequalities of Reproducing kernel Hilbert space operators. https://arxiv.org/abs/2202.04272

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