Inclusion theorems for Cohen strongly summing multilinear operators
Mezrag, Lahcène ; Saadi, Khalil
Bull. Belg. Math. Soc. Simon Stevin, Volume 16 (2009) no. 1, p. 1-11 / Harvested from Project Euclid
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In this paper we investigate connections between the class of Cohen strongly summing multilinear operators and other classes of multilinear mappings, such as multiple summing and strongly summing mappings (in the sense of Dimant). As a consequence of our results, we show that if $Y$ is a $\mathcal{L}_{p^{\ast }}$-space and $X_{1},...,X_{m}$ are $\mathcal{L}_{p}$-spaces ($1
Published online : 2009-02-15
Classification:  Absolutely $p$-summing,  Cohen strongly $p$-summing multilinear operators,  Pietsch Domination Theorem,  strongly $p$-summing multilinear operators,  47H60,  46B25,  46G25 
@article{1235574187,
     author = {Mezrag, Lahc\`ene and Saadi, Khalil},
     title = {Inclusion theorems for Cohen strongly summing multilinear operators},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {16},
     number = {1},
     year = {2009},
     pages = { 1-11},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1235574187}
}

Mezrag, Lahcène; Saadi, Khalil. Inclusion theorems for Cohen strongly summing multilinear operators. Bull. Belg. Math. Soc. Simon Stevin, Volume 16 (2009) no. 1, pp.  1-11. http://gdmltest.u-ga.fr/item/1235574187/