Maximal monotone normal cones in locally convex spaces

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Aug 2019Embargo end date: 01 Jan 2019 English Publisher:Elsevier BVJournal:Journal of Mathematical Analysis and Applications, volume 476, pages 811-818 (issn: 0022-247X,

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Authors: Voisei, M. D.;

doi: 10.1016/j.jmaa.2019.04.017 , 10.48550/arxiv.1901.07722

arXiv: 1901.07722

Maximal monotone normal cones in locally convex spaces

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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.

Keywords

Mathematics - Functional Analysis, maximal monotone cone, normal cone, FOS: Mathematics, 47H05, 52A41, Ordered topological linear spaces, vector lattices, Functional Analysis (math.FA)

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