- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 71 Issue: 1
- Operator inequalities in reproducing kernel Hilbert spaces
Operator inequalities in reproducing kernel Hilbert spaces
Authors : Ulas Yamanci
Pages : 204-211
Doi:10.31801/cfsuasmas.926981
View : 8 | Download : 5
Publication Date : 2022-03-30
Article Type : Research
Abstract :In this paper, by using some classical Mulholland type inequality, Berezin symbols and reproducing kernel technique, we prove the power inequalities for the Berezin number $ber(A)$ for some self-adjoint operators $A$ on ${H}(\Omega )$. Namely, some Mulholland type inequality for reproducing kernel Hilbert space operators are established. By applying this inequality, we prove that $(ber(A))^{n}\leq C_{1}ber(A^{n})$ for any positive operator $A$ on ${H}(\Omega )$.Keywords : Mulholland type inequality, Berezin number, positive operator, reproducing kernel Hilbert space, Berezin symbol