Journal article

Unified Approach to Vector Valued Integration


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Publication Details

Author list: Mangatiana A. Robdera

Publisher: Pushpa Publishing House

Publication year: 2013

Journal: International Journal of Functional Analysis Operator Theory and Applications

Journal acronym: IJFAOTA

Volume number: 5

Issue number: 2

Start page: 119

End page: 139

Number of pages: 21

ISSN: 0975-2919

URL: https://www.pphmj.com/abstract/7873.htm



We introduce a natural and more flexible approach to the definition of vector valued integral that will completely forgo any measurability assumption, strengthen the existing various classical concepts of integral, and provide a continuous thread tying the subject matter together. As applications, we obtain extensions of the Lebesgue convergence theorems, the Dvoretsky-Rogers theorem, and the Orlicz-Pettis theorem.

Keywords and phrases: Vector valued Henstock-Kurzweil integral, Lebesgue-Bochner integral.


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Last updated on 2024-17-09 at 10:08