The completeness and separability of function spaces in nonadditive measure theory

Jun Kawabe, Naoki Yamada

For a nonadditive measure $\mu$, the space ${\mathcal{L}}^0(\mu )$ of all measurable functions, the Choquet-Lorentz space ${\mathcal{L}}^{p,q}(\mu )$, the Lorentz space of weak type $\mathcal{…