On some problems for reproducing Kernel Hilbert space operators via the Berezin transform

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Karaev, M. T. and Tapdıgoğlu, Ramiz (2022) On some problems for reproducing Kernel Hilbert space operators via the Berezin transform. Mediterranean Journal of Mathematics, 19 (1). ISSN 1660-5446 (Print) 1660-5454 (Online)

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Abstract

We give some applications of Berezin transforms and Engliś C∗-algebras methods, namely we investigate the solution of generalized Riccati operator equation of the form XAX+∑i=1NBiXCi-D=0,N≥2via Berezin transforms. Also, we study finite product of operators, including finite zero-product of Toeplitz operators on the Bergman Hilbert space La2(D) in terms of Berezin transforms. The same method is used for characterization of compact truncated operators on the reproducing kernel Hilbert space H= H(Ω).
Item Type: Article
Uncontrolled Keywords: Berezin transform; Engliś algebra; generalized Riccati operator equation; Reproducing kernel; reproducing kernel Hilbert space; truncated operator; zero operator product
Divisions: Faculty of Engineering and Natural Sciences
Depositing User: Ramiz Tapdıgoğlu
Date Deposited: 27 Aug 2022 11:10
Last Modified: 27 Aug 2022 11:10
URI: https://research.sabanciuniv.edu/id/eprint/43896

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