Rockafellar's Sum Theorem
We show how to remove the boundedness condition from Eberhard-Wenczel proof of the Rockafellar's Sum Theorem.
math.FA↗
arXiv subjects
Andrei Verona
Publications and source records attributed to Andrei Verona.
On the Regularity of Maximal Monotone Operators and Related Results
In the first part of the note we prove that a sufficient condition (due to Simons) for the convexity of the closure of the domain/range of a monotone operator is also necessary when the operator has bounded domain and is maximal. Simons' condition is closely related to the notion of regular maximal monotone operator. In the second part of the note we give several characterizations for the regularity of a maximal monotone operator, show that a maximal monotone operator of type (FPV) is regular and improve a previous sum theorem type result.
math.FA↗
Regular Maximal Monotone Multifunctions and Enlargements
In this note we use recent results concerning the sum theorem for maximal monotone multifunctions in general Banach spaces to find new characterizations and properties of regular maximal monotone multifunctions and then use these to describe the domain of certain enlargements.
math.FA↗