Geodesic
Isometric embedding into spaces of continuous functions
Studia Mathematica, Tome 129 (1998) no. 3, pp. 197-205

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We prove that some Banach spaces X have the property that every Banach space that can be isometrically embedded in X can be isometrically and linearly embedded in X. We do not know if this is a general property of Banach spaces. As a consequence we characterize for which ordinal numbers α, β there exists an isometric embedding between $C_0(α+1)$ and $C_0(β+1)$.
DOI : 10.4064/sm-129-3-197-205
Keywords: metric space, Banach space, metric linear dimension

Rafael Villa 1

1 
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Rafael Villa. Isometric embedding into spaces of continuous functions. Studia Mathematica, Tome 129 (1998) no. 3, pp. 197-205. doi: 10.4064/sm-129-3-197-205

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