Quantification of the reciprocal Dunford-Pettis property

Abstract

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.

arXiv comment16 pages

References in corpus (3)

• Quantitative Dunford-Pettis property
• On quantification of weak sequential completeness
• On a difference between quantitative weak sequential completeness and the quantitative Schur property

Cited by in corpus (7)

• Quantitative Dunford-Pettis property
• Measures of weak non-compactness in spaces of nuclear operators
• Quantitative Schur property and measures of weak non-compactness
• Epic math battle of history: Grothendieck vs Nikodym
• Quantifying shrinking and boundedly complete bases
• Quantifying (non-)weak compactness of operators on $AL$- and $C(K)$-spaces
• Quantifying properties ($K$) and (${\mu }^s$)