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The Bochner integral for measurable sections and its properties

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.

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Main Authors: Ganiev, Inomjon, Mahmoud Ahmed, Gharib Subhi
Format: Article
Language:English
Published: 2013
Subjects:
Q Science (General)
Online Access:http://irep.iium.edu.my/27520/1/AFA-tex_v4_n1_a1.pdf
http://irep.iium.edu.my/27520/
http://www.emis.de/journals/AFA/AFA-tex_v4_n1_a1.pdf
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spelling my.iium.irep.275202013-03-29T08:18:57Z http://irep.iium.edu.my/27520/ The Bochner integral for measurable sections and its properties Ganiev, Inomjon Mahmoud Ahmed, Gharib Subhi Q Science (General) 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. 2013 Article REM application/pdf en http://irep.iium.edu.my/27520/1/AFA-tex_v4_n1_a1.pdf 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) http://www.emis.de/journals/AFA/AFA-tex_v4_n1_a1.pdf
institution Universiti Islam Antarabangsa Malaysia
building IIUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider International Islamic University Malaysia
content_source IIUM Repository (IREP)
url_provider http://irep.iium.edu.my/
language English
topic Q Science (General)
spellingShingle Q Science (General)
Ganiev, Inomjon
Mahmoud Ahmed, Gharib Subhi
The Bochner integral for measurable sections and its properties
description 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.
format Article
author Ganiev, Inomjon
Mahmoud Ahmed, Gharib Subhi
author_facet Ganiev, Inomjon
Mahmoud Ahmed, Gharib Subhi
author_sort Ganiev, Inomjon
title The Bochner integral for measurable sections and its properties
title_short The Bochner integral for measurable sections and its properties
title_full The Bochner integral for measurable sections and its properties
title_fullStr The Bochner integral for measurable sections and its properties
title_full_unstemmed The Bochner integral for measurable sections and its properties
title_sort bochner integral for measurable sections and its properties
publishDate 2013
url http://irep.iium.edu.my/27520/1/AFA-tex_v4_n1_a1.pdf
http://irep.iium.edu.my/27520/
http://www.emis.de/journals/AFA/AFA-tex_v4_n1_a1.pdf
_version_ 1643609350843924480
score 13.211869

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