no code implementations • 16 May 2024 • Niushan Gao, Foivos Xanthos
In this short note, we show that every convex, order bounded above functional on a Banach lattice is automatically norm continuous.
no code implementations • 24 Sep 2019 • Niushan Gao, Cosimo Munari, Foivos Xanthos
In addition, we show that Haezendonck-Goovaerts principles satisfy the stronger Lebesgue property if and only if the reference Orlicz function fulfills the so-called $\Delta_2$ condition.
