On convergence of the Berezin transforms

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Göğüş, Nihat Gökhan and Şahutoğlu, Sönmez (2020) On convergence of the Berezin transforms. Journal of Mathematical Analysis and Applications, 491 (1). ISSN 0022-247X (Print) 1096-0813 (Online)

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Abstract

We prove approximation results about sequences of Berezin transforms of finite sums of finite product of Toeplitz operators (and bounded linear maps, in general) in the spirit of Ramadanov and Skwarczynski Theorems that are about convergence of Bergman kernels.
Item Type: Article
Uncontrolled Keywords: Bergman kernel; Berezin transform; Ramadanov's Theorem
Subjects: Q Science > QA Mathematics > QA299.6-433 Analysis
Divisions: Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics
Faculty of Engineering and Natural Sciences
Depositing User: Nihat Gökhan Göğüş
Date Deposited: 14 Sep 2020 17:54
Last Modified: 14 Sep 2020 17:54
URI: https://research.sabanciuniv.edu/id/eprint/40084

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