- Tytuł:
- Local structure of generalized Orlicz−Lorentz function spaces
- Autorzy:
- Kolwicz, Paweł
- Powiązania:
- https://bibliotekanauki.pl/articles/746354.pdf
- Data publikacji:
- 2015
- Wydawca:
- Polskie Towarzystwo Matematyczne
- Tematy:
-
symmetric spaces
symmetrization of the Banach function space
generalized Orlicz-Lorentz space
Musielak-Orlicz space
monotonicity properties
order continuity
local structure of a separated point - Opis:
- We study the local structure of a separated point \(x\) in the generalized Orlicz-Lorentz space \(\Lambda ^{\varphi }\) which is a symmetrization of the respective Musielak-Orlicz space \(L^{\varphi }\). We present criteria for an \(LM\) point and a \(\mathit{UM}\) point, and sufficient conditions for a point of order continuity and an \(\mathit{LLUM}\) point, in the space \(\Lambda ^{\varphi }\). We prove also a characterization of strict monotonicity of the space \(\Lambda ^{\varphi }\).
- Źródło:
-
Commentationes Mathematicae; 2015, 55, 2
0373-8299 - Pojawia się w:
- Commentationes Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł