Eigenfunctionals for positive operators
Functional Analysis
2026-01-12 v4 Dynamical Systems
Abstract
We establish an eigenfunctional theorem for positive operators, evocative of the Krein--Rutman theorem. A more general version gives a joint eigenfunctional for commuting operators.
Cite
@article{arxiv.2512.10646,
title = {Eigenfunctionals for positive operators},
author = {Nicolas Monod},
journal= {arXiv preprint arXiv:2512.10646},
year = {2026}
}
Comments
v4: changed latex compiler to fix cross-ref numbering. v3: typo, missing 'p' on page 8. v2: argument added for t \leq 1