Abstract
This paper deals with Cartesian product spaces of real linear spaces and Cartesian product spaces of real normed spaces. In principle, both are attributed to the direct product of real linear spaces, but the direct product of normed spaces is needed to deal with the calculus of n-dimensional spaces. We also prove that the Lebesgue measure on tuple-type sets introduced in [6] is σ-finite.
Language: English
Page range: 117 - 135
Submitted on: Oct 17, 2024
Accepted on: Dec 2, 2025
Published on: Dec 31, 2025
Published by: University of Białystok
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year
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© 2025 Noboru Endou, Yasunari Shidama, published by University of Białystok
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 License.