Limits and colimits in the category of Banach $L^{0}$-modules

Enrico Pasqualetto

doi:10.4171/rsmup/163

JournalsrsmupVol. 154pp. 105–142

Limits and colimits in the category of Banach $L^{0}$ -modules

Enrico Pasqualetto
University of Jyväskylä, Finland
ORCID

$Limits and colimits in the category of Banach $L^{0}$-modules cover$

Download PDF

This article is published open access under our Subscribe to Open model.

Abstract

We prove that the category of Banach $L^{0}$ -modules over a given $σ$ -finite measure space is both complete and cocomplete, which means that it admits all small limits and colimits.

Cite this article

Enrico Pasqualetto, Limits and colimits in the category of Banach $L^{0}$ -modules. Rend. Sem. Mat. Univ. Padova 154 (2025), pp. 105–142

DOI 10.4171/RSMUP/163