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

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.

12 pages

References in corpus (2)

• Maximal monotone operators with a unique extension to the bidual
• Regular Maximal Monotone Multifunctions and Enlargements

Cited by in corpus (1)

• On the Regularity of Maximal Monotone Operators and Related Results