A Generalization of the Banach-Stone Theorem

DOI10.2307/2039386zbMath0274.46021OpenAlexW4245157258MaRDI QIDQ5182673

Bahattin Cengiz

Publication date: 1973

Full work available at URL: https://doi.org/10.2307/2039386

Mathematics Subject Classification ID

Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (12)

Into Isomorphisms of Spaces of Continuous Functions ⋮ On the structure of into isomorphisms between spaces of continuous functions ⋮ Small isomorphisms of \(C_0(K)\) onto \(C_0(S)\) generate a unique homeomorphism of \(K\) onto \(S\) similar to that of isometries ⋮ AN EXTENSION OF THE BANACH–STONE THEOREM ⋮ Linear isometries between subspaces of continuous functions ⋮ Vector valued Baire functions ⋮ Isomorphisms from extremely regular subspaces of \(C_0(K)\) into \(C_0(S,X)\) spaces ⋮ Nonlinear embeddings of spaces of continuous functions ⋮ New applications of extremely regular function spaces ⋮ Quasi-isometries on subsets of 𝐶₀(𝐾) and 𝐶₀⁽¹⁾(𝐾) spaces which determine 𝐾 ⋮ Isometries Between Function Spaces ⋮ On 𝐶₀(𝑆,𝑋)-distortion of the class of all separable Banach spaces

Cites Work

• On extremely regular function spaces
• On isomorphisms of continuous function spaces
• Banach spaces of continuous functions
• On Isomorphisms with Small Bound

This page was built for publication: A Generalization of the Banach-Stone Theorem