Polynomial characterization of Asplund spaces
Cilia, Raffaella ; Gutiérrez, Joaquín
Bull. Belg. Math. Soc. Simon Stevin, Tome 11 (2005) no. 5, p. 393-400 / Harvested from Project Euclid
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We prove that, given an index $m$, if every Pietsch integral $m$-homo\-geneous polynomial on a Banach space $E$ is nuclear, then $E$ is Asplund. The converse was proved by Alencar.
Publié le : 2005-09-14
Classification:  Pietsch integral polynomial,  nuclear polynomial,  46G25,  46B20,  47H60 
@article{1126195343,
     author = {Cilia, Raffaella and Guti\'errez, Joaqu\'\i n},
     title = {Polynomial characterization of Asplund spaces},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {11},
     number = {5},
     year = {2005},
     pages = { 393-400},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1126195343}
}

Cilia, Raffaella; Gutiérrez, Joaquín. Polynomial characterization of Asplund spaces. Bull. Belg. Math. Soc. Simon Stevin, Tome 11 (2005) no. 5, pp.  393-400. http://gdmltest.u-ga.fr/item/1126195343/