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Dunford-Pettis-like properties of projective and natural tensor product spaces.

Jesús M. Fernández Castillo, Juan A. López Molina (1993)

Revista Matemática de la Universidad Complutense de Madrid

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.

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