On Topological Isomorphisms of C 0 (X) and the Cardinal Number of X

DOI10.2307/2042544zbMath0397.46022OpenAlexW2062995849MaRDI QIDQ4180778

Bahattin Cengiz

Publication date: 1978

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

Full work available at URL: https://doi.org/10.2307/2042544

zbMATH Keywords

Banach-Stone TheoremCardinal NumberTopological Isomorphisms

Mathematics Subject Classification ID

Banach spaces of continuous, differentiable or analytic functions (46E15) Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05)

Related Items (10)

On automorphisms of the Banach space $\ell _\infty /c_0$ ⋮ Isomorphisms of \(\mathcal{C}(K, E)\) spaces and height of \(K\) ⋮ A Banach space \(C(K)\) reading the dimension of \(K\) ⋮ Weak forms of Banach-Stone theorem for \(C_{0}(K,X)\) spaces via the \(\alpha\)th derivatives of \(K\) ⋮ A weak vector-valued Banach-stone theorem for Choquet simplices ⋮ SMALL-BOUND ISOMORPHISMS OF FUNCTION SPACES ⋮ Isomorphisms from extremely regular subspaces of \(C_0(K)\) into \(C_0(S,X)\) spaces ⋮ Isomorphisms of subspaces of vector-valued continuous functions ⋮ Isomorphisms of spaces of affine continuous complex functions ⋮ A weak vector-valued Banach-Stone theorem

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