A Banach-Stone theorem for uniformly continuous functions

DOI10.1007/s006050070008zbMath0972.54016OpenAlexW2026140168MaRDI QIDQ1596336

M. Isabel Garrido, Jesús Angel Jaramillo

Publication date: 11 November 2001

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s006050070008

zbMATH Keywords

Banach-Stone theoremslattice homomorphismsuniformly continuous real functions

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Real-valued functions in general topology (54C30)

Related Items (13)

Disjointness Preservers and Banach-Stone Theorems ⋮ Nonlinear order isomorphisms on function spaces ⋮ Order isomorphisms between bases of topologies ⋮ Fine structure of the homomorphisms of the lattice of uniformly continuous functions on the line ⋮ AN EXTENSION OF THE BANACH–STONE THEOREM ⋮ A universal space for the Bourbaki-complete spaces and further examples ⋮ Isometries between generalized Nachbin weighted spaces: a Banach-Stone type theorem ⋮ Homomorphisms on lattices of continuous functions ⋮ Kaplansky Theorem for completely regular spaces ⋮ Lipschitz-type functions on metric spaces ⋮ Lattices of uniformly continuous functions determine their sublattices of bounded functions ⋮ Memorandum on multiplicative bijections and order ⋮ Pointwise Lipschitz functions on metric spaces

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