Godefroy, Gilles The Banach space \(c_0\). (English) Zbl 0986.46009 Extr. Math. 16, No. 1, 1-25 (2001). The paper is a survey on recent progress on properties of the Banach space \(c_0\). A sequence space characterization is given for a Banach space to be isometric to a subspace of \(c_0\) and its consequences is investigated. It is shown that \(c_0\) is minimal among sufficiently smooth non-reflexive spaces and maximal among asymptotically flat spaces. The paper also studies approximation properties for subspaces of \(c_0\). Some open problems are collected in the end of the survey. Reviewer: H.König (Kiel) Cited in 6 ReviewsCited in 22 Documents MSC: 46B20 Geometry and structure of normed linear spaces 46B25 Classical Banach spaces in the general theory 46B28 Spaces of operators; tensor products; approximation properties Keywords:smooth non-reflexive spaces; asymptotically flat spaces; approximation properties PDFBibTeX XMLCite \textit{G. Godefroy}, Extr. Math. 16, No. 1, 1--25 (2001; Zbl 0986.46009) Full Text: EuDML