Convergence in measure under Finite Additivity

Details Convergence in measure under Finite Additivity Convergence in measure under Finite Additivity

2012-03-30

arxiv.org/abs/1203.6768v1

Mathematics

Functional Analysis

Scientific paper

We investigate the possibility of replacing the topology of convergence in
probability with convergence in $L^1$. A characterization of continuous linear
functionals on the space of measurable functions is also obtained.

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