PreprintCC BY 4.0arXiv
A universal characterisation of the Bochner integral
Abstract
We provide a universal characterisation of the Banach spaces of equivalence classes of Lp Bochner integrable functions, under equality almost everywhere, as initial objects in appropriate categories of bifunctors, for all p ∈ [1,∞). As a by-product of our construction, we also obtain a unique characterisation of the Bochner integral.
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BibTeX
@misc{jacques2026universal,
title = {{A universal characterisation of the Bochner integral}},
author = {Jean-David Jacques and Felix Medwed and Fabrizio Zanello},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.17851},
eprint = {2609.17851},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.17851},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A universal characterisation of the Bochner integral
AU - Jean-David Jacques
AU - Felix Medwed
AU - Fabrizio Zanello
PY - 2026
DA - 2026/09/15
PB - arXiv
DO - 10.48550/arxiv.2609.17851
UR - https://arxiv.org/abs/2609.17851
AB - We provide a universal characterisation of the Banach spaces of equivalence classes of L^p Bochner integrable functions, under equality almost everywhere, as initial objects in appropriate categories of bifunctors, for all p ∈ [1,∞). As a by-product of our construction, we also obtain a unique characterisation of the Bochner integral.
ER -