Small isomorphisms of C(X,E) spaces

DOI10.2140/pjm.1989.138.295zbMath0698.46033OpenAlexW2045088190MaRDI QIDQ912358

Krzysztof Jarosz

Publication date: 1989

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

Full work available at URL: https://doi.org/10.2140/pjm.1989.138.295

zbMATH Keywords

Banach-Mazur distanceBanach-Stone theorem\(\epsilon\)-isometryalmost isometrycompletely injective tensor products

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Tensor products in functional analysis (46M05)

Related Items (13)

Isomorphisms of function modules, and generalized approximation in modulus ⋮ Isosceles-orthogonality preserving property and its stability ⋮ AN EXTENSION OF THE BANACH–STONE THEOREM ⋮ Weak forms of Banach-Stone theorem for \(C_{0}(K,X)\) spaces via the \(\alpha\)th derivatives of \(K\) ⋮ An Amir-Cambern theorem for subspaces of Banach lattice-valued continuous functions ⋮ Continuous maps induced by embeddings of \(C_{0}(K)\) spaces into \(C_{0}(S, X)\) spaces ⋮ SMALL-BOUND ISOMORPHISMS OF FUNCTION SPACES ⋮ When do the \(C_0^{(1)}(K, X)\) spaces determine the locally compact subspaces \(K\) of the real line \(\mathbb{R}\)? ⋮ Isomorphisms from extremely regular subspaces of \(C_0(K)\) into \(C_0(S,X)\) spaces ⋮ Isomorphisms of subspaces of vector-valued continuous functions ⋮ A weak vector-valued Banach-Stone theorem ⋮ On 𝐶₀(𝑆,𝑋)-distortion of the class of all separable Banach spaces ⋮ Optimal extensions of the Banach-Stone theorem

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