### Impacto

### Downloads

Downloads per month over past year

Villanueva, Ignacio and Bombal Gordón, Fernando
(2001)
*Integral operators on the product of C(K) spaces.*
Journal of Mathematical Analysis and Applications, 264
(1).
pp. 107-121.
ISSN 0022-247X

Preview |
PDF
223kB |

Official URL: http://www.sciencedirect.com/science/article/pii/S0022247X01976486

## Abstract

We study and characterize the integral multilinear operators on a product of C(K) spaces in terms of the representing polymeasure of the operator. Some applications are given. In particular, we characterize the Borel polymeasures that can be extended to a measure in the product ¾- algebra, generalizing previous results for bimeasures. We also give necessary conditions for the weak compactness of the extension of an integral multilinear operator on a product of C(K) spaces.

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

Uncontrolled Keywords: | Integral multilinear operator; Representing polymeasure; Semivariation; Product of C(K) spaces; Weak compactness |

Subjects: | Sciences > Mathematics > Mathematical analysis |

ID Code: | 11582 |

Deposited On: | 19 Nov 2010 12:09 |

Last Modified: | 06 Feb 2014 09:07 |

### Origin of downloads

Repository Staff Only: item control page