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On additive property of finitely additive measures

Functional Analysis 2019-05-23 v1 General Topology

Abstract

By the additive property, we mean a condition under which LpL^p spaces over finitely additive measures are complete. Basile and Rao gives a necessary and sufficient condition that a finite sum of finitely additive measures has the additive property. We generalize this result to the case of a countable sum of finitely additive meaures. An application of this result to density measures are also presented.

Keywords

Cite

@article{arxiv.1905.09206,
  title  = {On additive property of finitely additive measures},
  author = {Ryoichi Kunisada},
  journal= {arXiv preprint arXiv:1905.09206},
  year   = {2019}
}

Comments

10 pages