Geodesic
The $p$-convexity functor for $L_p(X)$-spaces
Sbornik. Mathematics, Tome 213 (2022) no. 6, pp. 734-743 Cet article a éte moissonné depuis la source Math-Net.Ru

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A construction for transforming an arbitrary $L_p(X)$-norm on a normed space $E$ into a $p$-convex norm is put forward. By applying this construction to the projective tensor norm, an explicit formula for the maximal $p$-convex $L_p(X)$-norm on $E$ is obtained. Bibliography: 9 titles.
Keywords: $L_p$-space, $L_p$-boundedness, $p$-convexity. 
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N. V. Volosova. The $p$-convexity functor for $L_p(X)$-spaces. Sbornik. Mathematics, Tome 213 (2022) no. 6, pp. 734-743. http://geodesic.mathdoc.fr/item/SM_2022_213_6_a0/

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