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On complemented copies of \(c_ 0\) in spaces of operators. II. (English) Zbl 0862.46010
Summary: We show that as soon as \(c_0\) embeds complementably into the space of all weakly compact operators from \(X\) to \(Y\), then it must live either in \(X^*\) or in \(Y\). [For part I see Ann. Soc. Math. Pol., Ser I, Commentat. Math. 32, 29-32 (1992; Zbl 0782.46022)].

MSC:
46B25 Classical Banach spaces in the general theory
46A32 Spaces of linear operators; topological tensor products; approximation properties
46B28 Spaces of operators; tensor products; approximation properties
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