A theorem on eigenvectors in idempotent spaces
Functional Analysis
2007-05-23 v2
Abstract
This paper suggests an algebraic version of the theorem on the existence of eigenvectors for linear operators in abstract idempotent spaces. Earlier, the theorem on the existence of eigenvectors was only known for the cases of a free finite-dimensional semimodule and for compact operators in semimodules of real continuous functions.
Cite
@article{arxiv.math/0102076,
title = {A theorem on eigenvectors in idempotent spaces},
author = {Grigori Shpiz},
journal= {arXiv preprint arXiv:math/0102076},
year = {2007}
}
Comments
4 pages, no figures; some definitions corrected