When do the \(C_0^{(1)}(K, X)\) spaces determine the locally compact subspaces \(K\) of the real line \(\mathbb{R}\)?

DOI10.1016/j.jmaa.2016.01.025zbMath1342.46024OpenAlexW2516431269MaRDI QIDQ5962574

Elói Medina Galego, Michael A. Rincón-Villamizar

Publication date: 12 February 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.01.025

zbMATH Keywords

Amir-Cambern theoremBanach-Stone theoremspace of continuously differentiable functions

Mathematics Subject Classification ID

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

Related Items (1)

Quasi-isometries on subsets of 𝐶₀(𝐾) and 𝐶₀⁽¹⁾(𝐾) spaces which determine 𝐾

Cites Work

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• Small isomorphisms of C(X,E) spaces
• M-structure and the Banach-Stone theorem
• Isomorphisms of spaces of continuous vector-valued functions
• Optimal extensions of the Banach-Stone theorem
• On isomorphisms of continuous function spaces
• Isometries Between Function Spaces
• On Isomorphisms with Small Bound
• Characterizations of the Space of Continuous Functions Over a Compact Hausdorff Space
• Linear isometries of some function spaces

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