In this short note we show that Hilbert complexes are strongly related to what we shall call annihilating sets of skew-selfadjoint operators. This provides for a new perspective on the classical topic of Hilbert complexes viewed as families of commuting normal operators.

中文翻译：

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湮灭斜自共轭算子族及其与希尔伯特复形的联系

在这篇简短的文章中，我们表明希尔伯特复形与我们所说的倾斜自共轭算子的湮灭集密切相关。这为希尔伯特复合体的经典主题提供了新的视角，希尔伯特复合体被视为通勤正常算子的族。