Davis-Wielandt-Berezin radius inequalities via dragomir inequalities

Tapdıgoğlu, Ramiz and Gürdal, Mehmet and Altwaijry, Najla and Sari, Nur (2021) Davis-Wielandt-Berezin radius inequalities via dragomir inequalities. Operators and Matrices, 15 (4). pp. 1445-1460. ISSN 1846-3886

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We consider operator A on the reproducing Kernel Hilbert space H = H (Ω) over some set Ω with the reproducing kernel Kλ (z)=K (z,λ) and define Davis-Wielandt-Berezin radius η (A) by the formula (formula presented) where à is the Berezin symbol of A defined by (formula presented) where (formula presented) is the normalized reproducing kernel of H . We prove several inequalities for this new quantity η (A) involving known Dragomir inequalities. Some other Berezin number inequalities are also proved.
Item Type: Article
Uncontrolled Keywords: Berezin norm; Berezin number; Berezin symbol; Davis-Wielandt-Berezin radius; Dragomir inequalities; Positive operator
Divisions: Faculty of Engineering and Natural Sciences
Depositing User: Ramiz Tapdıgoğlu
Date Deposited: 25 Aug 2022 17:46
Last Modified: 25 Aug 2022 17:46
URI: https://research.sabanciuniv.edu/id/eprint/43981

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