A stronger form of Banach-Stone theorem to 𝐶₀(𝐾,𝑋) spaces including the cases 𝑋=𝑙_{𝑝}², 1<𝑝<∞

DOI10.1090/proc/16589OpenAlexW4381491096MaRDI QIDQ6154325

Elói Medina Galego

Publication date: 15 February 2024

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/16589

zbMATH Keywords

\(\ell_p^n\) spacesstrictly convex spaces\(C_0(K, X)\) spaces

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Classical Banach spaces in the general theory (46B25) Isometric theory of Banach spaces (46B04) Banach spaces of continuous, differentiable or analytic functions (46E15)

Cites Work

• An optimal nonlinear extension of Banach-Stone theorem
• Isomorphic Banach-Stone theorems and isomorphisms which are close to isometries
• Optimal extensions of the Banach-Stone theorem
• A vector-valued Banach-Stone theorem with distortion \(\sqrt{2}\)
• A solution to the Cambern problem for finite-dimensional Hilbert spaces
• On isomorphisms of continuous function spaces
• A Bound-Two Isomorphism Between C(X) Banach Spaces
• Isomorphisms of spaces with large distortion
• On Isomorphisms with Small Bound
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