Johnson, W. B.; Zippin, M. Extension of operators from subspaces of \(c_ 0(\Gamma)\) into C(K) spaces. (English) Zbl 0697.46006 Proc. Am. Math. Soc. 107, No. 3, 751-754 (1989). By a result of Lindenstrauß and Pelczynski for every operator T from a subspace of \(c_ 0\) to CK and \(\epsilon >0\) there exists an extension to all of \(c_ 0\) with norm not greater than \(\| T\| (1+\epsilon)\). Using this and a decomposition technique it is proved in the present paper that \(c_ 0\) may be replaced by \(c_ 0(\Gamma)\) for arbitrary index sets \(\Gamma\). It is also shown that \(\epsilon =0\) is not admissible, even in the case of countable \(\Gamma\). Reviewer: E.Behrends Cited in 9 Documents MSC: 46B25 Classical Banach spaces in the general theory 46B03 Isomorphic theory (including renorming) of Banach spaces 47B99 Special classes of linear operators Keywords:extension of operators PDFBibTeX XMLCite \textit{W. B. Johnson} and \textit{M. Zippin}, Proc. Am. Math. Soc. 107, No. 3, 751--754 (1989; Zbl 0697.46006) Full Text: DOI