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

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Li D.

Studia Mathematica

1996

tom 121

nr 3

231-247

We study the Complex Unconditional Metric Approximation Property for translation invariant spaces $C_{Λ}(𝕋)$ 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 $C_{Λ}(𝕋)$ has (ℂ-UMAP); though these sets are such that $L^{∞}_{Λ}(𝕋)$ contains functions which are not continuous, we show that there is a linear invariant lifting from these $L^{∞}_{Λ}(𝕋)$ spaces into the Baire class 1 functions.

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1 Studia Mathematica

1 Li D.

1 1996

Wyniki wyszukiwania

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