Linear relations and their singular chains
Functional Analysis
2020-12-24 v1
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.
Cite
@article{arxiv.2012.12547,
title = {Linear relations and their singular chains},
author = {Thomas Berger and Henk de Snoo and Carsten Trunk and Henrik Winkler},
journal= {arXiv preprint arXiv:2012.12547},
year = {2020}
}