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Reproducing Kernels and Berezin Symbols Techniques in Various Questions of Operator Theory

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dc.creator Karaev, M. T.
dc.date 2013-08-01T00:00:00Z
dc.date.accessioned 2021-12-03T11:29:25Z
dc.date.available 2021-12-03T11:29:25Z
dc.identifier 5f3c2238-a901-42c5-ae41-21fea57a5dbe
dc.identifier 10.1007/s11785-012-0232-z
dc.identifier https://avesis.sdu.edu.tr/publication/details/5f3c2238-a901-42c5-ae41-21fea57a5dbe/oai
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/92150
dc.description In this paper we give some applications of reproducing kernels and Berezin symbols techniques in various questions of operator theory in the functional Hilbert spaces of complex-valued functions. In particular, by using these techniques, and also the so-called distance function method of Nikolski, we investigate invariant subspace problem and invertibility problem of operators. We also prove some general unicity theorem connecting with distance function. Moreover we introduce the concepts of Berezin set and Berezin number of operators and study some properties.
dc.language eng
dc.rights info:eu-repo/semantics/closedAccess
dc.title Reproducing Kernels and Berezin Symbols Techniques in Various Questions of Operator Theory
dc.type info:eu-repo/semantics/article


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