On control measures of multimeasures

DOI10.1007/S13398-022-01247-ZarXiv2109.07224MaRDI QIDQ6377736

J. Rodríguez

Publication date: 15 September 2021

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 $c_0(omeg{a}_1)$. The additional assumption on $X$ is shown to be essential.

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Vector-valued measures and integration (46G10)

This page was built for publication: On control measures of multimeasures

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6377736)