Several properties of weakly p-summable sequences and of the scale of p-converging operators (i.e., operators transforming weakly p-summable sequences into convergent sequences) in projective and natural tensor products with an lp space are considered. The last section studies the Dunford-Pettis property of order p (i.e., every weakly compact operator is p-convergent) in those spaces.
@article{urn:eudml:doc:43874,
title = {Dunford-Pettis-like properties of projective and natural tensor product spaces.},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {6},
year = {1993},
pages = {233-240},
zbl = {0811.46011},
mrnumber = {MR1269754},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:43874}
}
Fernández Castillo, Jesús M.; López Molina, Juan A. Dunford-Pettis-like properties of projective and natural tensor product spaces.. Revista Matemática de la Universidad Complutense de Madrid, Tome 6 (1993) pp. 233-240. http://gdmltest.u-ga.fr/item/urn:eudml:doc:43874/