A solution to the Cambern problem for finite-dimensional Hilbert spaces

DOI10.1007/S11856-019-1858-6zbMath1419.46029OpenAlexW2925796726MaRDI QIDQ2421900

André Luis Porto da Silva, Elói Medina Galego

Publication date: 18 June 2019

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

Full work available at URL: https://doi.org/10.1007/s11856-019-1858-6

zbMATH Keywords

Banach-Stone-type theoremsHilbert space-valued continuous functions

Mathematics Subject Classification ID

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

Related Items (1)

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

Cites Work

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• Isomorphisms of spaces of continuous vector-valued functions
• Optimal extensions of the Banach-Stone theorem
• A vector-valued Banach-Stone theorem with distortion \(\sqrt{2}\)
• On isomorphisms of continuous function spaces
• Isomorphisms of \(C_ 0(Y)\) onto \(C(X)\)
• The space of bounded maps into a Banach space
• A Bound-Two Isomorphism Between C(X) Banach Spaces
• On Isomorphisms with Small Bound
• Applications of the Theory of Boolean Rings to General Topology

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