Into Isomorphisms of Spaces of Continuous Functions

DOI10.2307/2044476zbMath0535.46013OpenAlexW4255076529MaRDI QIDQ3319239

Krzysztof Jarosz

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/2044476

zbMATH Keywords

perturbationssmall isomorphismsextremely regular subspaceShilov and Choquet boundaries coincide

Mathematics Subject Classification ID

Banach spaces of continuous, differentiable or analytic functions (46E15) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Related Items (11)

On the structure of into isomorphisms between spaces of continuous functions ⋮ On isomorphisms of Banach spaces of continuous functions ⋮ Weak forms of Banach-Stone theorem for \(C_{0}(K,X)\) spaces via the \(\alpha\)th derivatives of \(K\) ⋮ Linear isometries between subspaces of continuous functions ⋮ Continuous maps induced by embeddings of \(C_{0}(K)\) spaces into \(C_{0}(S, X)\) spaces ⋮ SMALL-BOUND ISOMORPHISMS OF FUNCTION SPACES ⋮ 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 ⋮ Isometries Between Function Spaces ⋮ On 𝐶₀(𝑆,𝑋)-distortion of the class of all separable Banach spaces

Cites Work

• On isomorphisms of continuous function spaces
• Small Into-Isomorphisms Between Spaces of Continuous Functions
• A Generalization of the Banach-Stone Theorem
• Continuous mappings induced by isometries of spaces of continuous functions
• On Isomorphisms with Small Bound

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