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- W1480495818 abstract "We construct a rearrangement invariant space $X$ on $[0,1]$ with the property that all bounded linear operators from $ell^p$, $1<p<infty$, to $X$ are compact, but there exists a non-compact operator from $ell^infty$ to $X$. The techniques used allow to give a new proof of the characterization given by Hern'andez, Raynaud and Semenov of the rearrangement invariant spaces on $[0,1]$ for which the canonical embedding into $L^1([0,1])$ is finitely strictly singular." @default.
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- W1480495818 date "2014-06-01" @default.
- W1480495818 modified "2023-10-18" @default.
- W1480495818 title "A Banach function space $X$ for which all operators from $ell^p$ to $X$ are compact" @default.
- W1480495818 doi "https://doi.org/10.7169/facm/2014.50.2.3" @default.
- W1480495818 hasPublicationYear "2014" @default.
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