Acyclic Monotone Operators Are Not Closed Under Addition
Functional Analysis
2026-04-27 v1 Optimization and Control
Abstract
Borwein and Wiersma [SIAM J. Optim. 18(3) (2007), 946-960] asked if the set of acyclic monotone operators is closed under addition. We answer this question in the negative.
Cite
@article{arxiv.2604.22570,
title = {Acyclic Monotone Operators Are Not Closed Under Addition},
author = {Henry Shugart},
journal= {arXiv preprint arXiv:2604.22570},
year = {2026}
}