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On inequalities for A-Berezin radius of operators

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Abstract

We compute certain inequalities for B-Berezin radius of \(2\times 2\) operator matrices in the study that generalize and refine earlier inequalities. Furthermore, we construct A-Berezin radius inequalities of operators in \(\mathbb {B}_{A,\Upsilon }(\mathcal {H})\) that improve on the current inequalities in Huban (Turk J Math 46(1):189–206, 2022). In addition, we establish A-Berezin radius bounds for sum of product of operators in \(\mathbb {B}_{A,\Upsilon } (\mathcal {H}),\) which improve on the previous bounds.

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Authors and Affiliations

  1. Department of Mathematics, Suleyman Demirel University, Isparta, Turkey

    Mehmet Gürdal & Hamdullah Başaran

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  1. Mehmet Gürdal
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  2. Hamdullah Başaran
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Correspondence to Mehmet Gürdal.

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Gürdal, M., Başaran, H. On inequalities for A-Berezin radius of operators. Afr. Mat. 35, 44 (2024). https://doi.org/10.1007/s13370-024-01186-5

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