A METRIC ON SPACE OF MEASURABLE FUNCTIONS AND THE RELATED CONVERGENCE
GANG LI · International Journal of Uncertainty Fuzziness and Knowledge-Based Systems · 2012
A new metric is proposed on the space of measurable functions in the setting of non-additive measure theory. The convergence induced from the metric can be used to describe the convergence in measure for sequences of measurable functions. Furthermore, the space of measurable functions is complete under the metric.