Saltan, Suna and Tapdıgoğlu, Ramiz and Çalisir, İrem (2022) Some new relations between the berezin number and the berezin norm of operators. Rocky Mountain Journal of Mathematics, 52 (5). pp. 1767-1774. ISSN 0035-7596 (Print) 1945-3795 (Online)
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Official URL: https://dx.doi.org/10.1216/rmj.2022.52.1767
Abstract
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 new quantities for operators acting on the reproducing kernel Hilbert space. In particular, we prove for arbitrary bounded linear operator A that (Equation presented), where ber(· ) and ∥ · ∥Ber denote, respectively, the Berezin number and the Berezin norm of operator A.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Berezin norm; Berezin number; Berezin symbol; positive operator; reproducing kernel Hilbert space; self-adjoint operator; Čebyčev functional |
| Divisions: | Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics Faculty of Engineering and Natural Sciences |
| Depositing User: | Ramiz Tapdıgoğlu |
| Date Deposited: | 11 Apr 2023 14:58 |
| Last Modified: | 11 Apr 2023 14:58 |
| URI: | https://research.sabanciuniv.edu/id/eprint/45323 |
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