https://nova.newcastle.edu.au/vital/access/ /manager/Index en-au 5 https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:13028 M are useful notions only in the reflexive setting. Specifically, we prove that each of the following conditions is necessary and sufficient for a Banach space X to be reflexive: (1) whenever A , A₁, A₂, A₃, ... are nonempty closed convex subsets of X with A = τ_M — lim A_n , then A° = τ_M — lim A°/_n ; (2) τ_M is a Hausdorff topology on the nonempty closed convex subsets of X ; (3) the arg min multifunction ∫ ⇉ {x ∈ X : ∫(x) = inf_x ∫} on the proper lower semicontinuous convex functions on X , equipped with τ_M , has closed graph.]]> Wed 11 Apr 2018 12:35:09 AEST ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:14079 Sat 24 Mar 2018 08:22:31 AEDT ]]>