We establish Bohr inequalities for operator-valued functions, which can be viewed as analogues of a couple of interesting results from scalar-valued settings. Some results of this paper are motivated by the classical flavour of Bohr inequality, while others are based on a generalized concept of the Bohr radius problem.

中文翻译：

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算子值函数的玻尔现象

我们为算子值函数建立了玻尔不等式，可以将其视为标量值设置的几个有趣结果的类似物。本文的一些结果是由 Bohr 不等式的经典风格推动的，而其他结果则是基于 Bohr 半径问题的广义概念。