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.

Bibliographic Details
Main Authors: Ganiev, Inomjon, Mahmoud Ahmed, Gharib Subhi
Format: Article
Language:English
Published: 2013
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