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arXiv · 2109.07224

On control measures of multimeasures

José Rodríguez
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Abstract

Let $M$ be a multimeasure defined on a $\sigma$-algebra and taking values in the family of bounded non-empty subsets of a Banach space $X$. We prove that $M$ admits a control measure whenever $X$ contains no subspace isomorphic to $c_0(\omega_1)$. The additional assumption on $X$ is shown to be essential.

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José Rodríguez. 2021-09-15. On control measures of multimeasures. https://arxiv.org/abs/2109.07224

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