Isomorphic Banach-Stone theorems and isomorphisms which are close to isometries

DOI10.2140/PJM.1988.133.229zbMath0618.46018OpenAlexW1980788519MaRDI QIDQ1822299

Ehrhard Behrends

Publication date: 1988

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

Full work available at URL: https://doi.org/10.2140/pjm.1988.133.229

zbMATH Keywords

Banach-Mazur distanceisomorphic Banach-Stone property

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Geometry and structure of normed linear spaces (46B20)

Related Items (6)

Almost transitivity of some function spaces ⋮ Weak forms of Banach-Stone theorem for \(C_{0}(K,X)\) spaces via the \(\alpha\)th derivatives of \(K\) ⋮ A stronger form of Banach-Stone theorem to 𝐶₀(𝐾,𝑋) spaces including the cases 𝑋=𝑙_{𝑝}², 1<𝑝<∞ ⋮ Isomorphisms from extremely regular subspaces of \(C_0(K)\) into \(C_0(S,X)\) spaces ⋮ Isomorphisms of subspaces of vector-valued continuous functions ⋮ Optimal extensions of the Banach-Stone theorem

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