On the distortion of a linear embedding of \(C(K)\) into a \(C_{0}(\varGamma,X)\) space

DOI10.1016/j.jmaa.2017.11.039zbMath1383.46020OpenAlexW2768773788MaRDI QIDQ1684824

Leandro Candido

Publication date: 12 December 2017

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.2017.11.039

zbMATH Keywords

\(C(K)\) spaceslinear embeddingsBanach-Mazur distances\(C_{0}(K, X)\) spaces

Mathematics Subject Classification ID

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

Related Items (1)

Isomorphisms of \(\mathcal{C}(K, E)\) spaces and height of \(K\)

Cites Work

• Unnamed Item
• How does the distortion of linear embedding of \(C_0(K)\) into \(C_0(\Gamma ,X)\) spaces depend on the height of \(K\)?
• On the distance coefficient between isomorphic function spaces
• On embeddings of $C_0(K)$ spaces into $C_0(L,X)$ spaces
• How far is C₀(\varGamma, X) with \varGamma discrete from C₀(K, X) spaces?
• Spaces of continuous functions (IV). (On isomorphical classification of spaces of continuous functions).
• On Banach spaces C(K) isomorphic to c₀(Γ)
• On relatively disjoint families of measures, with some applications to Banach space theory

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