×

The Banach space \(c_0\). (English) Zbl 0986.46009

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)

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
PDFBibTeX XMLCite
Full Text: EuDML