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arXiv · 1207.6034

In which spaces is every curve Lebesgue-Pettis integrable?

Heinrich von Weizsäcker
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Abstract

In a real locally convex Hausdorff space the closed convex hull of every metrizable compact set is compact if (and only if) every continuous curve has a Pettis integral with respect to Lebesgue measure. For such spaces there is a natural concept of Bochner integrals.

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Heinrich von Weizsäcker. 2012-07-25. In which spaces is every curve Lebesgue-Pettis integrable?. https://arxiv.org/abs/1207.6034

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