Families of annihilating skew-selfadjoint operators and their connection to Hilbert complexes

IF 1.7 3区数学 Q2 MATHEMATICS, APPLIED

Advances in Computational Mathematics Pub Date : 2024-08-27 DOI:10.1007/s10444-024-10184-x

Dirk Pauly, Rainer Picard

引用次数: 0

Abstract

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.

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湮灭偏自交算子族及其与希尔伯特复数的联系

在这篇短文中，我们将证明希尔伯特复数与我们称之为斜自交算子的湮没集密切相关。这就为把希尔伯特复数视为相交正算子族这一经典课题提供了一个新的视角。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Advances in Computational Mathematics 数学-应用数学

CiteScore

3.00

自引率

5.90%

发文量

审稿时长

3 months

期刊介绍： Advances in Computational Mathematics publishes high quality, accessible and original articles at the forefront of computational and applied mathematics, with a clear potential for impact across the sciences. The journal emphasizes three core areas: approximation theory and computational geometry; numerical analysis, modelling and simulation; imaging, signal processing and data analysis. This journal welcomes papers that are accessible to a broad audience in the mathematical sciences and that show either an advance in computational methodology or a novel scientific application area, or both. Methods papers should rely on rigorous analysis and/or convincing numerical studies.