Some results on the convexity of the closure of the domain of a maximally monotone operator

2012/05/21 by Jonathan M. Borwein, Borwein, Jonathan M., Liangjin Yao +1
Computer Science · Mathematics · #47A05 #47B65 (Secondary) #47H05 (Primary) 26B25 #Contact Mechanics and Variational Inequalities #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.1205.4482

openalex publication_date 2012/05/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide a concise analysis about what is known regarding when the closure of the domain of a maximally monotone operator on an arbitrary real Banach space is convex. In doing so, we also provide an affirmative answer to a problem posed by Simons.

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