Full paper in PDF:
$%J. M. F. Castillo and F. Sánchez, Dunford-Pettis-like properties of continuous vector function
spaces, Rev. Mat. Univ. Complut. Madrid 6 (1993), no. 1, 43–59.%$
In this paper, the structure of some operator ideals defined on continuous functions spaces is studied. Conditions are considered under which “” and “the representing measure of takes values in ” are equivalent for the scales of p-converging and weakly--compact operators. The scale is intermediate between the ideals (unconditionally summing operators) and (completely continuous operators), which have been studied by several authors (Bombal, Cembranos, Rodríguez-Salinas, Saab). The dual scale is intermediate between the ideals (compact operators) and (weakly compact operators), and the result presented have a close connection with those of Diestel, Núñez, and Seifert.
1991 Mathematics Subject Classification: 46E15, 46B28, 46B25.