Banach–Lamperti theorem for the Kurzweil–Henstock integral

Authors

  • Thierry De Pauw Westlake University, School of Science, Institute for Theoretical Sciences

DOI:

https://doi.org/10.54330/afm.180834

Keywords:

Kurzweil–Henstock integral, isometric isomorphism of normed spaces, change of variable

Abstract

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

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Published

2026-03-18

Issue

Vol. 51 No. 1 (2026)

Section

Articles

License

Copyright (c) 2026 Annales Fennici Mathematici

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

De Pauw, T. (2026). Banach–Lamperti theorem for the Kurzweil–Henstock integral. Annales Fennici Mathematici, 51(1), 123–236. https://doi.org/10.54330/afm.180834