Weak forms of Banach-Stone theorem for \(C_{0}(K,X)\) spaces via the \(\alpha\)th derivatives of \(K\)

DOI10.1016/j.bulsci.2015.04.002zbMath1335.46005OpenAlexW1997226323MaRDI QIDQ896928

Michael A. Rincón-Villamizar, Elói Medina Galego

Publication date: 15 December 2015

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2015.04.002

zbMATH Keywords

isomorphismsspaces of continuous functionsBanach-Stone 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)

Related Items (8)

When do the Banach lattices \(C([0,\alpha,X)\) determine the ordinal intervals \([0,\alpha]\)?] ⋮ Isomorphisms of \(\mathcal{C}(K, E)\) spaces and height of \(K\) ⋮ Isometries between generalized Nachbin weighted spaces: a Banach-Stone type theorem ⋮ A weak vector-valued Banach-stone theorem for Choquet simplices ⋮ Continuous maps induced by embeddings of \(C_{0}(K)\) spaces into \(C_{0}(S, X)\) spaces ⋮ On embeddings of $C_0(K)$ spaces into $C_0(L,X)$ spaces ⋮ Isomorphisms from extremely regular subspaces of \(C_0(K)\) into \(C_0(S,X)\) spaces ⋮ Isomorphisms of subspaces of vector-valued continuous functions

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