Some translation-invariant Banach function spaces which contain $c_0$

Daniel Li (LML); Herv\'e Queff\'elec (LPP); Luis Rodriguez-Piazza; Pascal Lef\`evre (LML)

arxiv: 0912.3133 · v1 · submitted 2009-12-16 · 🧮 math.FA

Some translation-invariant Banach function spaces which contain c₀

Pascal Lef\`evre (LML) , Daniel Li (LML) , Herv\'e Queff\'elec (LPP) , Luis Rodriguez-Piazza This is my paper

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keywords banachcontainsomespacesabelianclassicalcompactfunction

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We produce several situations where some natural subspaces of classical Banach spaces of functions over a compact abelian group contain the space $c_0$.

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Some translation-invariant Banach function spaces which contain c₀

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