Inclusion theorems for Cohen strongly summing multilinear operators
Mezrag, Lahcène ; Saadi, Khalil
Bull. Belg. Math. Soc. Simon Stevin, Tome 16 (2009) no. 1, p. 1-11 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
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
Publié le : 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, Tome 16 (2009) no. 1, pp.  1-11. http://gdmltest.u-ga.fr/item/1235574187/