Full paper in PDF:
$%J. M. F. Castillo and J. A. López Molina, Dunford-Pettis-like properties of projective and natural tensor product spaces, Rev. Mat. Univ. Complut. Madrid 6 (1993), no. 2, 233240.%$

Dunford-Pettis-like Properties of Projective and Natural Tensor Product Spaces
Departamento de Matemáticas
Universidad de Extremadura
Avda. de Elvas, S/N
06071 Badajoz Spain
Departamento de Matemáticas
E.T.S. Ingenieros Agrónomos
Camino de Vera, S/N
46022 Valencia Spain

Received: November 10, 1992
Revised: March 15, 1993

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.

1991 Mathematics Subject Classification: 46B20, 46B28, 46B45.