Acyclic Monotone Operators Are Not Closed Under Addition

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Autor principal: Shugart, Henry
Formato: Preprint
Publicado: 2026
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author Shugart, Henry
author_facet Shugart, Henry
contents 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.
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institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Acyclic Monotone Operators Are Not Closed Under Addition
Shugart, Henry
Functional Analysis
Optimization and Control
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.
title Acyclic Monotone Operators Are Not Closed Under Addition
topic Functional Analysis
Optimization and Control
url https://arxiv.org/abs/2604.22570