论文标题

线性关系及其奇异连锁店

Linear relations and their singular chains

论文作者

Berger, Thomas, de Snoo, Henk, Trunk, Carsten, Winkler, Henrik

论文摘要

线性空间中线性关系的奇异链空间在有限维空间中线性关系的分解中起着基本作用。在本文中,详细讨论了不一定是有限维线性空间的奇异链和奇异的链条空间。这导致了一个以根空间为角度来表征奇异链空间的身份。线性关系的所谓适当特征值在有限维情况下起着重要作用。

Singular chain spaces for linear relations in linear spaces play a fundamental role in the decomposition of linear relations in finite-dimensional spaces. In this paper singular chains and singular chain spaces are discussed in detail for not necessarily finite-dimensional linear spaces. This leads to an identity characterizing a singular chain space in terms of root spaces. The so-called proper eigenvalues of a linear relation play an important role in the finite-dimensional case.

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