A+ CATEGORY SCIENTIFIC UNIT

Isometric embedding into spaces of continuous functions

Volume 129 / 1998

Rafael Villa Studia Mathematica 129 (1998), 197-205 DOI: 10.4064/sm-129-3-197-205

Abstract

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 $C_0(β+1)$.

Authors

  • Rafael Villa

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