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arXiv · 2411.11193

A density version of a theorem of Banach

David A. Ross
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Abstract

The S-measure construction from nonstandard analysis is used to prove an extension of a result on the intersection of sets in a finitely-additive measure space. This is then used to give a density-limit version of a representation theorem of Banach.

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David A. Ross. 2024-11-17. A density version of a theorem of Banach. https://doi.org/10.4115/jla.2025.17.3

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