Abstract Originally studied by Gohberg and Krein, the block projection operators admit a natural extension to the setting of quasi-normed ideals and noncommutative integration. Here, we establish several uniform submajorisation inequalities for block projection operators. We also show that in the quasi-normed setting, for L p -spaces with 0 p ≤ 1 , a reverse inequality holds.

中文翻译：

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块投影算子的不等式

摘要 最初由 Gohberg 和 Krein 研究，块投影算子承认对拟规范理想和非对易积分设置的自然扩展。在这里，我们为块投影算子建立了几个统一的 submajorisation 不等式。我们还表明，在准范数设置中，对于 0 p ≤ 1 的 L p 空间，逆向不等式成立。