English

Convergence in measure under Finite Additivity

Functional Analysis 2013-07-18 v2 Probability

Abstract

We investigate the possibility of replacing the topology of convergence in probability with convergence in L1L^1. A characterization of continuous linear functionals on the space of measurable functions is also obtained.

Keywords

Cite

@article{arxiv.1203.6768,
  title  = {Convergence in measure under Finite Additivity},
  author = {Gianluca Cassese},
  journal= {arXiv preprint arXiv:1203.6768},
  year   = {2013}
}
R2 v1 2026-06-21T20:42:20.738Z