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

Jesús M. Fernández Castillo; Juan A. López Molina

Revista Matemática de la Universidad Complutense de Madrid (1993)

  • Volume: 6, Issue: 2, page 233-240
  • ISSN: 1139-1138

Abstract

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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.

How to cite

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Fernández Castillo, Jesús M., and López Molina, Juan A.. "Dunford-Pettis-like properties of projective and natural tensor product spaces.." Revista Matemática de la Universidad Complutense de Madrid 6.2 (1993): 233-240. <http://eudml.org/doc/43874>.

@article{FernándezCastillo1993,
abstract = {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.},
author = {Fernández Castillo, Jesús M., López Molina, Juan A.},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {Producto tensorial; Espacios de Banach; Espacio proyectivo; Propiedad de Dunford-Pettis; weakly -summable sequences; scale of -converging operators; projective and natural tensor products with an space; Dunford-Pettis property of order },
language = {eng},
number = {2},
pages = {233-240},
title = {Dunford-Pettis-like properties of projective and natural tensor product spaces.},
url = {http://eudml.org/doc/43874},
volume = {6},
year = {1993},
}

TY - JOUR
AU - Fernández Castillo, Jesús M.
AU - López Molina, Juan A.
TI - Dunford-Pettis-like properties of projective and natural tensor product spaces.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1993
VL - 6
IS - 2
SP - 233
EP - 240
AB - 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.
LA - eng
KW - Producto tensorial; Espacios de Banach; Espacio proyectivo; Propiedad de Dunford-Pettis; weakly -summable sequences; scale of -converging operators; projective and natural tensor products with an space; Dunford-Pettis property of order
UR - http://eudml.org/doc/43874
ER -

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