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Bombal Gordón, Fernando and Cembranos, Pilar
(1986)
*Dieudonné operators on C(K,E).*
Bulletin of the Polish Academy of Sciences. Mathematics, 34
(5-6).
pp. 301-305.
ISSN 0239-7269

PDF
Restringido a Repository staff only 252kB |

Official URL: http://journals.impan.gov.pl/ba/

## Abstract

A Banach space operator is called a Dieudonné operator if it maps weakly Cauchy sequences to weakly convergent sequences. A space E is said to have property (D) if, whenever K is a compact Hausdorff space and T is an operator from C(K,E) into a space F , T is a Dieudonné operator if and only if its representing measure is both strongly additive and has for its values Dieudonné operators from E into F . The purpose of this paper is to show that if E ∗ has the Radon-Nikodým property then E has (D) if and only if E ∗∗ has the Radon-Nikodým property.

Item Type: | Article |
---|---|

Uncontrolled Keywords: | space of continuous vector valued functions; Dieudonné operator; representing measure; semivariation |

Subjects: | Sciences > Mathematics > Differential geometry |

ID Code: | 18038 |

Deposited On: | 30 Jan 2013 09:54 |

Last Modified: | 25 Nov 2019 09:23 |

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