The Algebraic Structure of Finitely Generated $L^0(\mathcal{F},K)$-Modules and the Helly Theorem in Random Normed Modules

Tiexin Guo, Guang Shi

Let $K$ be the scalar field of real numbers or complex numbers and $L^0(\mathcal{F},K)$ the algebra of equivalence classes of $K-$valued random variables defined on a probability…