Maximal monotone normal cones in locally convex spaces

2019/01/23 by M. D. Voisei, Voisei, M. D.
Mathematics · #47H05 #52A41 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:47H05 #msc:52A41

paper · pdf · doi:10.48550/arxiv.1901.07722

arxiv created 2019/01/23 · arxiv updated 2019/01/24

Abstract

Equivalent conditions that make the normal cone maximal monotone are investigated in the general settings of locally convex spaces. Some consequences such as Bishop Phelps and sum representability results are presented in the last part.

Related

• The maximal monotonicity of the subdifferential in locally convex spaces via upper envelopes
• Linear Monotone Subspaces of Locally Convex Spaces
• An Answer to S. Simons' Question on the Maximal Monotonicity of the Sum of a Maximal Monotone Linear Operator and a Normal Cone Operator
• Location, identification, and representability of monotone operators in locally convex spaces
• Strongly normal cones and the midpoint locally uniform rotundity