Quantification of the reciprocal Dunford-Pettis property

Ji\v{r}\'i Spurn\'y; Ond\v{r}ej F.K. Kalenda

arxiv: 1204.4308 · v1 · pith:IM6IO2DMnew · submitted 2012-04-19 · 🧮 math.FA

Quantification of the reciprocal Dunford-Pettis property

Ond\v{r}ej F.K. Kalenda , Ji\v{r}\'i Spurn\'y This is my paper

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keywords dunford-pettisomegapropertyreciprocalbanachcompactenjoyform

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We prove in particular that Banach spaces of the form $C_0(\Omega)$, where $\Omega$ is a locally compact space, enjoy a quantitative version of the reciprocal Dunford-Pettis property.

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Quantification of the reciprocal Dunford-Pettis property

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