- Tytuł:
- Ideals of finite rank operators, intersection properties of balls, and the approximation property
- Autorzy:
-
Lima, Åsvald
Oja, Eve - Powiązania:
- https://bibliotekanauki.pl/articles/1217020.pdf
- Data publikacji:
- 1999
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Opis:
- We characterize the approximation property of Banach spaces and their dual spaces by the position of finite rank operators in the space of compact operators. In particular, we show that a Banach space E has the approximation property if and only if for all closed subspaces F of $c_0$, the space ℱ(F,E) of finite rank operators from F to E has the n-intersection property in the corresponding space K(F,E) of compact operators for all n, or equivalently, ℱ(F,E) is an ideal in K(F,E).
- Źródło:
-
Studia Mathematica; 1999, 133, 2; 175-186
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł