The paper establishes arithmetic–geometric mean and related submajorisation and norm inequalities for \(\tau \)-measurable operators affiliated with a semi-finite von Neumann algebra acting in a separable Hilbert space as an application of the theory of double operator integration.

中文翻译：

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$$ \ tau $$τ-可测算子的算术几何均数和相关子主宰与范数不等式：第二部分

本文利用双算子积分理论的应用，建立了与在可分希尔伯特空间中起作用的半有限冯·诺伊曼代数相关的\（\ tau \）可测算子的算术几何均值以及相关的子一般化和范式不等式。