Vector liftings for products of probability spaces and measurable modifications of stochastic processes

Maxim R. Burke, Nikolaos D. Macheras, Werner Strauss

We investigate the properties of linear primitive liftings $\rho :{\mathcal{L}}^p(\mu )\to {\mathcal{L}}^p(\mu )$ for probability spaces $(X,\Sigma ,\mu )$, which are linear maps selecting a repres…