Year: 2026
Type: preprint
Abstract: 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 $p \in [1,\infty)$. As a by-product of our construction, we also obtain a unique characterisation of the Bochner integral.
Source: arXiv (Cornell University)
Authors: Jacques, Jean-David, Medwed, Felix, Zanello, Fabrizio
Language: English
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Deutsche Forschungsgemeinschaft
Awards: G1875930355, G5709080070, G7650316851
OpenAlex ID: W7213510275