Dunford-Pettis and Dieudonné polynomials on Banach spaces

Fernández-Unzueta, Maite

Illinois J. Math., Tome 45 (2001) no. 4, p. 291-307 / Harvested from Project Euclid

Résumé

We introduce two classes of $m$-homogeneous polynomials defined on Banach spaces, which extend the classes of Dunford-Pettis and Dieudonné linear operators. These extensions allow us to prove that several characterization theorems related to the Dunford-Pettis, Schur, and reciprocal Dunford-Pettis properties, are also valid in the more general case of homogeneous polynomials of any degree $m\in\N$.

Publié le : 2001-01-15
Classification: 46G25, 46B28

@article{1258138269,
     author = {Fern\'andez-Unzueta, Maite},
     title = {Dunford-Pettis and Dieudonn\'e polynomials on Banach spaces},
     journal = {Illinois J. Math.},
     volume = {45},
     number = {4},
     year = {2001},
     pages = { 291-307},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258138269}
}

Fernández-Unzueta, Maite. Dunford-Pettis and Dieudonné polynomials on Banach spaces. Illinois J. Math., Tome 45 (2001) no. 4, pp.  291-307. http://gdmltest.u-ga.fr/item/1258138269/