The Use of an Isometric Isomorphism on the Completion of the Space of Henstock-Kurzweil Integrable Functions

Employing an isometrically isomorphic space, we determine new properties for the completion of the space of the Henstock-Kurzweil integrable functions with the Alexiewicz norm.

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Main Authors: Luis Ángel Gutiérrez Méndez, Juan Alberto Escamilla Reyna, Francisco Javier Mendoza Torres, María Guadalupe Morales Macías
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2013/715789
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author Luis Ángel Gutiérrez Méndez
Juan Alberto Escamilla Reyna
Francisco Javier Mendoza Torres
María Guadalupe Morales Macías
author_facet Luis Ángel Gutiérrez Méndez
Juan Alberto Escamilla Reyna
Francisco Javier Mendoza Torres
María Guadalupe Morales Macías
author_sort Luis Ángel Gutiérrez Méndez
collection DOAJ
description Employing an isometrically isomorphic space, we determine new properties for the completion of the space of the Henstock-Kurzweil integrable functions with the Alexiewicz norm.
format Article
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institution Kabale University
issn 0972-6802
1758-4965
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publishDate 2013-01-01
publisher Wiley
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series Journal of Function Spaces and Applications
spelling doaj-art-c343ba06182e428b9233021f98aaec5b2025-02-03T01:02:53ZengWileyJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/715789715789The Use of an Isometric Isomorphism on the Completion of the Space of Henstock-Kurzweil Integrable FunctionsLuis Ángel Gutiérrez Méndez0Juan Alberto Escamilla Reyna1Francisco Javier Mendoza Torres2María Guadalupe Morales Macías3Facultad de Ciencias Físico Matemáticas, Benemérita Universidad, Autónoma de Puebla, Avenida San Claudio y 18 Sur, Colonia San Manuel, 72570, Puebla, MexicoFacultad de Ciencias Físico Matemáticas, Benemérita Universidad, Autónoma de Puebla, Avenida San Claudio y 18 Sur, Colonia San Manuel, 72570, Puebla, MexicoFacultad de Ciencias Físico Matemáticas, Benemérita Universidad, Autónoma de Puebla, Avenida San Claudio y 18 Sur, Colonia San Manuel, 72570, Puebla, MexicoFacultad de Ciencias Físico Matemáticas, Benemérita Universidad, Autónoma de Puebla, Avenida San Claudio y 18 Sur, Colonia San Manuel, 72570, Puebla, MexicoEmploying an isometrically isomorphic space, we determine new properties for the completion of the space of the Henstock-Kurzweil integrable functions with the Alexiewicz norm.http://dx.doi.org/10.1155/2013/715789
spellingShingle Luis Ángel Gutiérrez Méndez
Juan Alberto Escamilla Reyna
Francisco Javier Mendoza Torres
María Guadalupe Morales Macías
The Use of an Isometric Isomorphism on the Completion of the Space of Henstock-Kurzweil Integrable Functions
Journal of Function Spaces and Applications
title The Use of an Isometric Isomorphism on the Completion of the Space of Henstock-Kurzweil Integrable Functions
title_full The Use of an Isometric Isomorphism on the Completion of the Space of Henstock-Kurzweil Integrable Functions
title_fullStr The Use of an Isometric Isomorphism on the Completion of the Space of Henstock-Kurzweil Integrable Functions
title_full_unstemmed The Use of an Isometric Isomorphism on the Completion of the Space of Henstock-Kurzweil Integrable Functions
title_short The Use of an Isometric Isomorphism on the Completion of the Space of Henstock-Kurzweil Integrable Functions
title_sort use of an isometric isomorphism on the completion of the space of henstock kurzweil integrable functions
url http://dx.doi.org/10.1155/2013/715789
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