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Mendoza Casas, José
(1982)
*Barrelledness conditions on S(Σ;E) and B(Σ;E).*
Mathematische Annalen, 261
(1).
pp. 11-22.
ISSN 0025-5831

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Official URL: http://www.springerlink.com/content/x35m3k7433761318/

## Abstract

Let Ω be a nonempty set, and let Σ be a field of subsets of Ω. If E is a locally convex space we denote by S(Σ;E) the vector space of all Σ-simple functions defined on Ω with values in E, and by B(Σ;E) the vector space of all functions defined on Ω with values in E which are uniform limits of Σ-simple functions. We give some results characterizing when the spaces S(Σ;E) and B(Σ;E) endowed with the uniform convergence topology are barrelled or infrabarrelled.

Item Type: | Article |
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Uncontrolled Keywords: | uniform convergence topology; barrelled; infrabarrelled; uniform limit of vector valued simple functions |

Subjects: | Sciences > Mathematics > Functional analysis and Operator theory |

ID Code: | 16891 |

Deposited On: | 26 Oct 2012 08:21 |

Last Modified: | 26 Jul 2018 06:58 |

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