CollectaneaMathematica
Collectanea Mathematica
2038-4815
0010-0757
Universitat de Barcelona
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Articles
$P$-convexity of Musielak-Orlicz sequence spaces of Bochner type
Kolwicz
Pawel
Pluciennik
Ryszard
Consorci de Biblioteques Universitaries de Catalunya
CBUC -
Coll
Josep
Exportació de revistes
UB
Universitat de Barcelona
CRAI
Consorci de Biblioteques Universitaries de Catalunya
CBUC -
Coll
Josep
Exportació de revistes
UB
Universitat de Barcelona
CRAI
13
01
1997
1997
4552
Vol.: 48 Núm.: 4 -6
1997
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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