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arxiv: 1205.4482 · v1 · pith:BLF4PWDHnew · submitted 2012-05-21 · 🧮 math.FA

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

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keywords closuredomainmaximallymonotoneoperatoraffirmativeanalysisanswer
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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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