A theorem on eigenvectors in idempotent spaces
Abstract
Description
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.
4 pages, no figures; some definitions corrected
4 pages, no figures; some definitions corrected