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On a New Norm on the Space of Reproducing Kernel Hilbert Space Operators and Berezin Radius Inequalities

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dc.creator GÜRDAL, Mehmet
dc.creator Sen, A.
dc.creator Tapdigoglu, R.
dc.creator Bhunia, P.
dc.creator Paul, K.
dc.date 2023-01-01T00:00:00Z
dc.date.accessioned 2025-02-25T10:19:17Z
dc.date.available 2025-02-25T10:19:17Z
dc.identifier 2e66dfa9-2d24-401c-984f-4eae5fd15a55
dc.identifier 10.1080/01630563.2023.2221857
dc.identifier https://avesis.sdu.edu.tr/publication/details/2e66dfa9-2d24-401c-984f-4eae5fd15a55/oai
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/99217
dc.description In this paper, we provide a new norm(α-Berezin norm) on the space of all bounded linear operators defined on a reproducing kernel Hilbert space, which generalizes the Berezin radius and the Berezin norm. We study the basic properties of the α-Berezin norm and develop various inequalities involving the α-Berezin norm. By using the inequalities we obtain various bounds for the Berezin radius of bounded linear operators, which improve on the earlier bounds. Further, we obtain a Berezin radius inequality for the sum of the product of operators, from which we derive new Berezin radius bounds.
dc.language eng
dc.rights info:eu-repo/semantics/closedAccess
dc.title On a New Norm on the Space of Reproducing Kernel Hilbert Space Operators and Berezin Radius Inequalities
dc.type info:eu-repo/semantics/article


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