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The Bochner integral for measurable sections and its properties

Ganiev, Inomjon and Mahmoud Ahmed, Gharib Subhi (2013) The Bochner integral for measurable sections and its properties. Annals of Functional Analysis, 4 (1). pp. 1-10. ISSN 2008-8752 (O)

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Abstract

In the present paper we introduce the notion Bochner integral for measurable sections and study some properties such integrals. Given necessary and successfully condition for integrability of a measurable section. Dominated convergence theorem and analogue of Hille's theorem are proved.

Item Type: Article (Journal)
Additional Information: 6672/27520
Uncontrolled Keywords: Bochner integral
Subjects: Q Science > Q Science (General)
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button): Kulliyyah of Engineering > Department of Science
Depositing User: Dr Gharib Mahmoud
Date Deposited: 29 Mar 2013 16:18
Last Modified: 29 Mar 2013 16:18
URI: http://irep.iium.edu.my/id/eprint/27520

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