Complex Unconditional Metric Approximation Property for $C_{Λ}()$ spaces

Li, Daniel

Studia Mathematica, Tome 119 (1996), p. 231-247 / Harvested from The Polish Digital Mathematics Library

Résumé

We study the Complex Unconditional Metric Approximation Property for translation invariant spaces $C_{Λ}()$ of continuous functions on the circle group. We show that although some “tiny” (Sidon) sets do not have this property, there are “big” sets Λ for which $C_{Λ}()$ has (ℂ-UMAP); though these sets are such that $L^{∞}_{Λ}()$ contains functions which are not continuous, we show that there is a linear invariant lifting from these $L^{∞}_{Λ}()$ spaces into the Baire class 1 functions.

Détail

Publié le : 1996-01-01

Zbl 0892.46013

EUDML-ID : urn:eudml:doc:216354

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