A vector-valued Banach-Stone theorem with distortion \(\sqrt{2}\)

DOI10.2140/PJM.2017.290.321zbMath1377.46004OpenAlexW2740655604MaRDI QIDQ2398625

André Luis Porto da Silva, Elói Medina Galego

Publication date: 18 August 2017

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

Full work available at URL: https://doi.org/10.2140/pjm.2017.290.321

zbMATH Keywords

isomorphismsHilbert spacesspaces of vector-valued continuous functionsvector-valued Banach-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) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (3)

A solution to the Cambern problem for finite-dimensional Hilbert spaces ⋮ Isometries between generalized Nachbin weighted spaces: a Banach-Stone type theorem ⋮ A stronger form of Banach-Stone theorem to 𝐶₀(𝐾,𝑋) spaces including the cases 𝑋=𝑙_{𝑝}², 1<𝑝<∞

Cites Work

• An optimal nonlinear extension of Banach-Stone theorem
• M-structure and the Banach-Stone theorem
• Isomorphisms of spaces of continuous vector-valued functions
• Optimal extensions of the Banach-Stone theorem
• On isomorphisms of continuous function spaces
• Isomorphisms of \(C_ 0(Y)\) onto \(C(X)\)
• A Bound-Two Isomorphism Between C(X) Banach Spaces
• A Generalized Banach-Stone Theorem
• On Isomorphisms with Small Bound
• Applications of the Theory of Boolean Rings to General Topology

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