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 $\ddot{I}:{\mathcal{L}}^p(\hat{I}¼)\to {\mathcal{L}}^p(\hat{I}¼)$ for probability spaces $(X,\hat{I}\pounds ,\hat{I}¼)$, which are linear maps selecting a r…