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
Full text not available from this repository. (Request a copy)
Official URL: https://dx.doi.org/10.7153/oam-2021-15-90
Abstract
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 |
Actions (login required)
- View Item