M-ideals of compact operators into $\ell_p$

Mathematics – Functional Analysis

Scientific paper

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Scientific paper

We show for $2\le p<\infty$ and subspaces $X$ of quotients of $L_{p}$ with a
$1$-unconditional finite-dimensional Schauder decomposition that
$K(X,\ell_{p})$ is an $M$-ideal in $L(X,\ell_{p})$.

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