We prove a generalized Hölder-type inequality for measurable operators associated with a semi-finite von Neumann algebra which is a generalization of the result shown by Bekjan (Positivity 21:113–126, 2017). This also provides a generalization of the unitarily invariant norm inequalities for matrix due to Bhatia–Kittaneh, Horn–Mathisa, Horn–Zhan and Zou under a cohyponormal condition.

中文翻译：

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可测算子的广义Hölder型不等式

我们证明了与半有限von Neumann代数相关的可测算子的广义Hölder型不等式，这是Bekjan显示的结果的泛化（Positivity 21：113–126，2017）。这也提供了在准伪正态条件下归因于Bhatia–Kittaneh，Horn–Mathisa，Horn–Zhan和Zou的矩阵的不变不变范数不等式的一般化。