Non-surjective coarse version of the Banach-Stone theorem

DOI10.1007/S43034-019-00044-XzbMath1459.46034OpenAlexW2997332253MaRDI QIDQ781706

Igor A. Vestfrid

Publication date: 17 July 2020

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43034-019-00044-x

zbMATH Keywords

Banach-Stone theoremcoarse quasi-isometries

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Isometric theory of Banach spaces (46B04) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (4)

Non-surjective coarse embeddings of continuous functions spaces ⋮ Quasi-isometries in continuous functions spaces ⋮ On non-linear \(\varepsilon\)-isometries between the positive cones of certain continuous function spaces ⋮ The Banach-Stone theorem in Finsler \(C^*\)-modules

Cites Work

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• An optimal nonlinear extension of Banach-Stone theorem
• On isomorphisms of continuous function spaces
• Hyers-Ulam stability of isometries and non-expansive maps between spaces of continuous functions
• Small Into-Isomorphisms Between Spaces of Continuous Functions. II
• Small Into-Isomorphisms Between Spaces of Continuous Functions
• A generalization of the Banach-Stone theorem
• A Bound-Two Isomorphism Between C(X) Banach Spaces
• Continuous mappings induced by isometries of spaces of continuous functions
• On Isomorphisms with Small Bound

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