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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| Language: | English |
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2013
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| Online Access: | http://irep.iium.edu.my/27520/ http://irep.iium.edu.my/27520/ http://irep.iium.edu.my/27520/1/AFA-tex_v4_n1_a1.pdf |
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iium-27520 |
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eprints |
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iium-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 PeerReviewed 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 |
| repository_type |
Digital Repository |
| institution_category |
Local University |
| institution |
International Islamic University Malaysia |
| building |
IIUM Repository |
| collection |
Online Access |
| 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/ http://irep.iium.edu.my/27520/ http://irep.iium.edu.my/27520/1/AFA-tex_v4_n1_a1.pdf |
| first_indexed |
2023-09-18T20:40:52Z |
| last_indexed |
2023-09-18T20:40:52Z |
| _version_ |
1777409356234489856 |