- Tytuł:
- The problem of complementability for some spaces of vector measures of bounded variation with values in Banach spaces containing copies of $c_{0}$
- Autorzy:
-
Drewnowski, L.
Emmanuele, G. - Powiązania:
- https://bibliotekanauki.pl/articles/1292917.pdf
- Data publikacji:
- 1993
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
Banach space
isomorphic copy of $c_0$
spaces of vector measures
Bochner integrable functions
Radon-Nikodym property
uncomplemented subspace - Opis:
- Let (S, ∑, m) be any atomless finite measure space, and X any Banach space containing a copy of $c_0$. Then the Bochner space $L^1(m;X)$ is uncomplemented in ccabv(∑,m;X), the Banach space of all m-continuous vector measures that are of bounded variation and have a relatively compact range; and ccabv(∑,m;X) is uncomplemented in cabv(∑,m;X). It is conjectured that this should generalize to all Banach spaces X without the Radon-Nikodym property.
- Źródło:
-
Studia Mathematica; 1993, 104, 2; 111-123
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł