- Tytuł:
- Weakly precompact operators on $C_{b}(X,E)$ with the strict topology
- Autorzy:
- Stochmal, Juliusz
- Powiązania:
- https://bibliotekanauki.pl/articles/729586.pdf
- Data publikacji:
- 2016
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
spaces of vector-valued continuous functions
strict topologies
operator measures
strongly bounded operators
weakly precompact operators - Opis:
- Let X be a completely regular Hausdorff space, E and F be Banach spaces. Let $C_{b}(X,E)$ be the space of all E-valued bounded continuous functions on X, equipped with the strict topology β. We study weakly precompact operators $T:C_{b}(X,E) → F$. In particular, we show that if X is a paracompact k-space and E contains no isomorphic copy of l¹, then every strongly bounded operator $T:C_{b}(X,E) → F$ is weakly precompact.
- Źródło:
-
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2016, 36, 1; 65-77
1509-9407 - Pojawia się w:
- Discussiones Mathematicae, Differential Inclusions, Control and Optimization
- Dostawca treści:
- Biblioteka Nauki
Artykuł