Isometric embedding into spaces of continuous functions
Tom 129 / 1998
Studia Mathematica 129 (1998), 197-205
DOI: 10.4064/sm-129-3-197-205
Streszczenie
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 $C_0(β+1)$.
