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math.FA2022
When is a Minkowski norm strictly sub-convex?
Stéphane Simon, Patrick Verovic
The aim of this paper is to give two complete and simple characterizations of Minkowski norms N on an arbitrary topological real vector space such that the sublevel sets of N are s…
math.FA2016
Functions with strictly convex epigraph
Stéphane Simon, Patrick Verovic
The aim of this paper is to provide a complete and simple characterization of functions with domain in a topological real vector space whose epigraph is strictly convex.