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.
Citation
Inomjon Ganiev. Gharib S. Mahmuod. "The Bochner integral for measurable sections and its properties." Ann. Funct. Anal. 4 (1) 1 - 10, 2013. https://doi.org/10.15352/afa/1399899831
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