June 2, 2016 (v1)
Publication
We study the connections between the Kadec-Klee property for local convergence in measure H`, the Kadec-Klee property for global onvergence in measure Hg and the ∆2-condition for Orlicz function spaces Lϕ equipped with either the Luxemburg norm k · kϕ or the Orlicz norm k · k0 ϕ. Nominally, we prove that for (Lϕ, k · kϕ) the conditions: ϕ...
Uploaded on: December 5, 2022