N. Sh. Iskenderov

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Articles: 1

Berezin number of operators and related questions

Mubariz T. Karaev, Nizameddin Sh. Iskenderov

MFAT 19 (2013), no. 1, 68-72

68-72

We prove some estimates for the Berezin number of operators on the reproducing kernel Hilbert spaces. We also give in terms of Berezin number necessary and sufficient conditions providing unitarity of invertible operator on the reproducing kernel Hilbert space. Moreover, we give a lower estimate for any operator on the Hardy space $H^{2}\left( \mathbb{D} \right) $ over the unit disc $\mathbb{D}.$

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