P-convesity of Musielak-Orlicz sequences spaces of Bochner type
- Autores: Pawel Kolwicz, Ryszard Pluciennik
- Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 48, Fasc. 4-6, 1997, págs. 587-600
- Idioma: inglés
- Enlaces
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Resumen
It is proved that the Musielak-Orlicz sequence space $l_\varphi(X)$ of Bochner type is $\texttt{P}$-convex if and only if both spaces $l_\varphi(\mathbb{R})$ and $X$ are $\texttt{P}$-convex. In particular, the Lebesgue-Bochner sequence space $l^p(X)$ is $\texttt{P}$-convex if $X$ is $\texttt{P}$-convex and $1 < p <\infty$.
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