Regular Maximal Monotone Multifunctions and Enlargements

2008/06/08 by Verona, Andrei, Verona, Maria Elena
#42A50 #46N10 #47H05 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.0806.1307

Abstract

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.

Related

• Sum of two maximal monotone operators in a general Banach space is maximal
• Recent progress on Monotone Operator Theory
• The Sum and Chain Rules for Maximal Monotone Operators
• Lectures on maximal monotone operators
• The sum theorem for maximal monotone operators in reflexive Banach spaces revisited