# M. T. Karaev

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Articles: 2

### Berezin number of operators and related questions

Methods Funct. Anal. Topology 19 (2013), no. 1, 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 $\mathbb{D}.$

### Invariant subspaces, cyclic vectors, commutant and extended eigenvectors of some convolution operators

M. T. Karaev

Methods Funct. Anal. Topology 11 (2005), no. 1, 48-59