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arXiv · 2012.12547

Linear relations and their singular chains

Thomas Berger·Henk de Snoo·Carsten Trunk·Henrik Winkler
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Abstract

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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Thomas Berger, Henk de Snoo, Carsten Trunk, Henrik Winkler. 2020-12-23. Linear relations and their singular chains. https://arxiv.org/abs/2012.12547

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