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arXiv · 1905.09206

On additive property of finitely additive measures

Ryoichi Kunisada
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Abstract

By the additive property, we mean a condition under which $L^p$ 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.

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Ryoichi Kunisada. 2019-05-22. On additive property of finitely additive measures. https://arxiv.org/abs/1905.09206

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