Geodesic
Integral polynomials on Banach spaces not containing $\ell _1$
Czechoslovak Mathematical Journal, Tome 60 (2010) no. 1, pp. 221-231

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We give new characterizations of Banach spaces not containing $\ell _1$ in terms of integral and $p$-dominated polynomials, extending to the polynomial setting a result of Cardassi and more recent results of Rosenthal.
Classification : 46B20, 46G25, 47H60
Keywords: (Pietsch) integral polynomial; Banach space not containing $\ell _1$; $p$-dominated polynomial 
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     author = {Cilia, Raffaella and Guti\'errez, Joaqu{\'\i}n M.},
     title = {Integral polynomials on {Banach} spaces not containing $\ell _1$},
     journal = {Czechoslovak Mathematical Journal},
     pages = {221--231},
     publisher = {mathdoc},
     volume = {60},
     number = {1},
     year = {2010},
     mrnumber = {2595085},
     zbl = {1224.46088},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2010__60_1_a18/}
}
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Cilia, Raffaella; Gutiérrez, Joaquín M. Integral polynomials on Banach spaces not containing $\ell _1$. Czechoslovak Mathematical Journal, Tome 60 (2010) no. 1, pp. 221-231. http://geodesic.mathdoc.fr/item/CMJ_2010__60_1_a18/