- Tytuł:
- Complex Unconditional Metric Approximation Property for $C_{Λ}(\mathbb{T})$ spaces
- Autorzy:
- Li, Daniel
- Powiązania:
- https://bibliotekanauki.pl/articles/1220918.pdf
- Data publikacji:
- 1996
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
Unconditional Metric Approximation Property
translation invariant spaces of continuous functions
Rosenthal set
Riesz set
linear invariant lifting - Opis:
- We study the Complex Unconditional Metric Approximation Property for translation invariant spaces $C_{Λ}(\mathbb{T})$ 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 $C_{Λ}(\mathbb{T})$ has (ℂ-UMAP); though these sets are such that $L_{Λ}^{∞}(\mathbb{T})$ contains functions which are not continuous, we show that there is a linear invariant lifting from these $L_{Λ}^{∞}(\mathbb{T})$ spaces into the Baire class 1 functions.
- Źródło:
-
Studia Mathematica; 1996, 121, 3; 231-247
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł