An Amir-Cambern theorem for quasi-isometries of \(C_0(K,X)\) spaces

DOI10.2140/pjm.2018.297.87zbMath1408.46011OpenAlexW2897761930MaRDI QIDQ1799052

André Luis da Silva, Elói Medina Galego

Publication date: 18 October 2018

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2018.297.87

zbMATH Keywords

quasi-isometrySchäffer constant\(C_0(K,X)\) spacesfinite-dimensional uniformly non-square spacesvector-valued Amir-Cambern theorem

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Classical Banach spaces in the general theory (46B25) Isomorphic theory (including renorming) of Banach spaces (46B03) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (3)

A wider nonlinear extension of Banach-Stone theorem to 𝐶₀(𝐾,𝑋) spaces which is optimal for 𝑋=ℓ_{𝑝}, 2≤𝑝<∞ ⋮ Quasi-isometries on subsets of 𝐶₀(𝐾) and 𝐶₀⁽¹⁾(𝐾) spaces which determine 𝐾 ⋮ On 𝐶₀(𝑆,𝑋)-distortion of the class of all separable Banach spaces

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