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引用次数: 0
摘要
我们在研究中计算了一些关于（2\times 2\）算子矩阵的B-Berezin半径的不等式，这些不等式概括并完善了之前的不等式。此外，我们构建了 \(\mathbb {B}_{A,\Upsilon }(\mathcal {H})\) 中算子的 A-Berezin radius 不等式，改进了 Huban (Turk J Math 46(1):189-206, 2022) 中的现有不等式。此外，我们建立了 A-Berezin radius bounds for sum of product of operators in \(\mathbb {B}_{A,\Upsilon })(\mathcal {H}),\) 中算子乘积的 A-Berezin 半径界值，这是对之前界值的改进。
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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