Berezin number of operators and related questions

Authors

  • M. T. Karaev Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, Baku, 370141, Azerbaijan
  • N. Sh. Iskenderov Faculty of Mechanics and Mathematics, Baku State University, Baku, 370141, Azerbaijan 

DOI:

Keywords:

Berezin symbol, Berezin number, unitary operator, reproducing kernel Hilbert space, Teoplitz operator

Abstract

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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Published

2013-03-25

Issue

Vol. 19 No. 1 (2013)

Section

Articles

How to Cite

Karaev, M. T., and N. Sh. Iskenderov. “Berezin Number of Operators and Related Questions”. Methods of Functional Analysis and Topology, vol. 19, no. 1, Mar. 2013, pp. 68-72, https://zen.imath.kiev.ua/index.php/mfat/article/view/536.