A short constructive proof of Jordan's decomposition theorem
History and Overview
2007-05-23 v6
Abstract
Although there are many simple proofs of Jordan's decomposition theorem in the literature (see [1], the references mentioned there, and [2]), our proof seems to be even more elementary. In fact, all we need is the theorem on the dimensions of rang and kernel and the existence of eigenvalues of a linear transformation on a nontrivial finite dimensional complex vector space.
Cite
@article{arxiv.math/0312041,
title = {A short constructive proof of Jordan's decomposition theorem},
author = {Pawel Kroeger},
journal= {arXiv preprint arXiv:math/0312041},
year = {2007}
}
Comments
2 pages, 3 added references