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\(M\)-ideals of compact operators into \(\ell _{p}\). (English) Zbl 1040.46020

Summary: We show for \(2\leq p<\infty \) 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 \(L(X,\ell _{p})\).

MSC:

46B28 Spaces of operators; tensor products; approximation properties
47L20 Operator ideals
46B04 Isometric theory of Banach spaces
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References:

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