- Tytuł:
- Uniformly \(\mu\)-Continuous Topologies on Orlicz-Bochner Spaces
- Autorzy:
- Feledziak, Krzysztof
- Powiązania:
- https://bibliotekanauki.pl/articles/746216.pdf
- Data publikacji:
- 2006
- Wydawca:
- Polskie Towarzystwo Matematyczne
- Tematy:
-
Orlicz spaces
Orlicz-Bochner spaces
locally solid topologies
generalized mixed topologies
uniformly \(\varphi\)-summable sets
uniformly \(\varphi\)-integrable sets - Opis:
- We examine the topological properties of Orlicz-Bochner spaces \(L^\varphi(X)\) (over a σ-finite measure space \((\Omega, \Sigma, \mu))\), where \(\varphi\) is an Orlicz function (not necessarily convex) and \(X\) is a real Banach space. We continue the study of some class of locally convex topologies on \(L^\varphi (X)\), called uniformly \(\mu\)-continuous topologies. In particular, the generalized mixed topology \(\mathcal{T}_I^\varphi (X)\) on \(L^\varphi (X)\) (in the sense of Turpin) is considered.
- Źródło:
-
Commentationes Mathematicae; 2006, 46, 1
0373-8299 - Pojawia się w:
- Commentationes Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł