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

Enrico Pasqualetto

doi:10.4171/rsmup/163

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

Enrico Pasqualetto
University of Jyväskylä, Jyväskylä, Finland
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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 (2024), published online first

DOI 10.4171/RSMUP/163