Journal article

On strong and weak integrability of vector valued functions


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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: 1

Start page: 63

End page: 81

Number of pages: 19

ISSN: 0975-2919

URL: http://www.pphmj.com/abstract/7423.htm



We use net-limits to give a short alternative description of the Henstock-Kurzweil integral of vector valued functions that will allow us to naturally define a seminorm on the space of Henstock-Kurzweil integrable functions. A brief survey of the connections between the different classes of strong and weak integrable functions is presented. As a byproduct, we obtain a further generalization of Fong's extension of the Orlicz-Pettis theorem [3].

Keywords and phrases: Measurable function, Pettis-, Dunford-, Henstock-Kurzweil-integrable functions, Orlicz-Pettis theorem.


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Last updated on 2024-16-09 at 13:18