Lipschitz‐free spaces over strongly countable‐dimensional spaces and approximation properties
Copyright policy )Lipschitz‐free spaces over strongly countable‐dimensional spaces and approximation properties
Abstract Let be a compact, metrisable and strongly countable‐dimensional topological space. Let be the set of all metrics on compatible with its topology, and equip with the topology of uniform convergence, where the metrics are regarded as functions on . We prove that the set of metrics for which the Lipschitz‐free space has the metric approximation property is residual in .
- University College Dublin Ireland
- Trinity College Dublin Ireland
Lipschitz-free spaces, Mathematics - Functional Analysis, FOS: Mathematics, Primary 46B20, 46B28, metric approximation property, Classical Banach spaces in the general theory, Spaces of operators; tensor products; approximation properties, Baire category, Functional Analysis (math.FA)
Lipschitz-free spaces, Mathematics - Functional Analysis, FOS: Mathematics, Primary 46B20, 46B28, metric approximation property, Classical Banach spaces in the general theory, Spaces of operators; tensor products; approximation properties, Baire category, Functional Analysis (math.FA)
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