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<dc:title lang="ca-ES">$P$-convexity of Musielak-Orlicz sequence spaces of Bochner type</dc:title>
<dc:creator>Kolwicz, Pawel</dc:creator>
<dc:creator>Pluciennik, Ryszard</dc:creator>
<dc:description lang="ca-ES">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 $1 < p <\infty$.</dc:description>
<dc:publisher lang="0">Universitat de Barcelona</dc:publisher>
<dc:date>1997</dc:date>
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<dc:identifier>https://www.raco.cat/index.php/CollectaneaMathematica/article/view/56414</dc:identifier>
<dc:identifier>2038-4815</dc:identifier>
<dc:source lang="ca-ES">Collectanea Mathematica; 1997: Vol.: 48 Núm.: 4 -6; p. 587-600</dc:source>
<dc:source lang="0">0010-0757</dc:source>
<dc:language>eng</dc:language>
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<p>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 $1 < p <\infty$.</p>
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<p>Ho sentim, aquest no disposem del contingut d'aquest article.Lo sentimos, no disponemos del contenido de este artículo.Sorry, we do not have the content of this article.</p>
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