Regularizing decompositions for matrix pencils and a topological classification of pairs of linear mappings
Representation Theory
2014-05-06 v2
Abstract
We give a method for constructing a regularizing decomposition of a matrix pencil, which is formulated in terms of the linear mappings. We prove that two pencils are topologically equivalent if and only if their regularizing decompositions coincide up to permutation of summands and their regular parts coincide up to homeomorphisms of their spaces.
Keywords
Cite
@article{arxiv.1403.2645,
title = {Regularizing decompositions for matrix pencils and a topological classification of pairs of linear mappings},
author = {Vyacheslav Futorny and Tetiana Rybalkina and Vladimir V. Sergeichuk},
journal= {arXiv preprint arXiv:1403.2645},
year = {2014}
}
Comments
20 pages