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.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
2013
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| Subjects: | |
| 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 |
| Summary: | 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. |
|---|