Linear relations and their singular chains

Thomas Berger*, Henk De Snoo, Carsten Trunk, Henrik Winkler

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

1 Citation (Scopus)
40 Downloads (Pure)

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 that characterizes 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.

Original languageEnglish
Pages (from-to)287-301
Number of pages15
JournalMethods of Functional Analysis and Topology
Volume27
Issue number4
DOIs
Publication statusPublished - 2021

Keywords

  • Jordan chain
  • Linear relation
  • Proper eigenvalue
  • Singular chain

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