Banach–Lamperti theorem for the Kurzweil–Henstock integral

Thierry De Pauw

Westlake University, School of Science, Institute for Theoretical Sciences

Abstract

We identify isometric isomorphisms of the space of Kurzweil–Henstock integrable functions as bi-absolutely-continuous changes of variable.

DOI	https://doi.org/10.54330/afm.180834
Published	March 18, 2026
Issue	Vol. 51 No. 1 (2026)
Section	Articles
Keywords	Kurzweil–Henstock integral, isometric isomorphism of normed spaces, change of variable
How to Cite	De Pauw, T. (2026). Banach–Lamperti theorem for the Kurzweil–Henstock integral. Annales Fennici Mathematici, 51(1), 223–236. https://doi.org/10.54330/afm.180834 ACM ACS APA ABNT Chicago Harvard IEEE MLA Turabian Vancouver AMA Download Citation Endnote/Zotero/Mendeley (RIS) BibTeX
License	Copyright (c) 2026 Annales Fennici Mathematici This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.