Nonlinear generalizations of the Banach-Stone theorem

DOI10.4064/sm-93-2-97-107zbMath0695.46010OpenAlexW812432641MaRDI QIDQ3471055

Krzysztof Jarosz

Publication date: 1989

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/218918

zbMATH Keywords

Choquet boundaryfunction algebraShilov boundary\(\epsilon \) -bi-Lipschitzlinearly isometric

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Banach spaces of continuous, differentiable or analytic functions (46E15) Nonlinear operators and their properties (47H99)

Related Items (9)

An optimal nonlinear extension of Banach-Stone theorem ⋮ An optimal linear approximation for a class of nonlinear operators between uniform algebras ⋮ A wider nonlinear extension of Banach-Stone theorem to 𝐶₀(𝐾,𝑋) spaces which is optimal for 𝑋=ℓ_{𝑝}, 2≤𝑝<∞ ⋮ Low distortion embeddings of some metric graphs into Banach spaces ⋮ Coarse version of the Banach-Stone theorem ⋮ An Amir-Cambern theorem for quasi-isometries of \(C_0(K,X)\) spaces ⋮ Nonlinear diameter preserving maps on function spaces ⋮ Quasi-isometries on subsets of 𝐶₀(𝐾) and 𝐶₀⁽¹⁾(𝐾) spaces which determine 𝐾 ⋮ Best constants of Banach-Stone type theorems in subgroups of 𝐶(𝐾)

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