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Bombal Gordón, Fernando
(1991)
*On some subsets of the dual of a Banach space.*
In
Mathematical contributions in memory of Professor Victor Manuel Onieva Aleixandre.
Universidad de Cantabria, Santander, pp. 35-41.
ISBN 84-87412-40-8

## Abstract

With the definition that a Banach space E has the property sDP if the Dunford-Pettis operators and the unconditionally converging operators from E into F coincide for every Banach space F, the author proves that E has property sDP if and only if two specified classes of subsets of the dual space E\sp* of E coincide. He obtains a corresponding characterization of the Dunford-Pettis property of a Banach space E, i.e., that every weakly compact operator from E into F is also a Dunford-Pettis operator for every Banach space F. Additional results about the property sDP and easy proofs of certain known theorems are also given.

Item Type: | Book Section |
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Uncontrolled Keywords: | sDP property; Dunford-Pettis operators; unconditionally converging operators; weakly compact operator |

Subjects: | Sciences > Mathematics > Algebraic geometry |

ID Code: | 19933 |

Deposited On: | 12 Feb 2013 17:07 |

Last Modified: | 12 Feb 2013 17:07 |

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