Annals of Functional Analysis

The Bochner integral for measurable sections and its properties

Inomjon Ganiev and Gharib S‎. ‎Mahmuod

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‎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.

Article information

Ann. Funct. Anal., Volume 4, Number 1 (2013), 1-10.

First available in Project Euclid: 12 May 2014

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 46G10: Vector-valued measures and integration [See also 28Bxx, 46B22]
Secondary: 46G12‎ 46E40: Spaces of vector- and operator-valued functions

Measurable bundle measurable section integral Bochner


Ganiev, Inomjon; S‎. ‎Mahmuod, Gharib. The Bochner integral for measurable sections and its properties. Ann. Funct. Anal. 4 (2013), no. 1, 1--10. doi:10.15352/afa/1399899831.

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