Díaz, Santiago; Fernández, Antonio; Florencio, Miguel; Paúl, Pedro J. Complemented copies of \(c_ 0\) in vector-valued Köthe-Dieudonné function spaces. (English) Zbl 0782.46035 Collect. Math. 43, No. 1, 89-93 (1992). Let \(\Lambda\) be a barrelled perfect Köthe space of measurable functions defined on an atomless finite Radon measure space. [This class of function spaces was defined by J. Dieudonné, “Sur les espaces de Köthe”, J. Analyse Math. 1, 81-115 (1951; Zbl 0044.117)]. Let \(X\) be a Banach space containing a copy of \(c_ 0\), then the space \(\Lambda(X)\) of \(\Lambda\)-Bochner integrable functions contains a complemented copy of \(c_ 0\). Reviewer: S.Díaz (Sevilla) MSC: 46E40 Spaces of vector- and operator-valued functions 46B25 Classical Banach spaces in the general theory 46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) Keywords:barrelled perfect Köthe space of measurable functions; atomless finite Radon measure space; complemented copy of \(c_ 0\) Citations:Zbl 0044.117 PDFBibTeX XMLCite \textit{S. Díaz} et al., Collect. Math. 43, No. 1, 89--93 (1992; Zbl 0782.46035)