arXiv Analytics

Sign in

arXiv:2211.13197 [math.FA]AbstractReferencesReviewsResources

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

Enrico Pasqualetto

Published 2022-11-23Version 1

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

Comments: 24 pages
Categories: math.FA, math.CT
Subjects: 53C23, 18F15, 16D90, 13C05
Related articles: Most relevant | Search more
arXiv:2205.11608 [math.FA] (Published 2022-05-23)
On the reflexivity properties of Banach bundles and Banach modules
arXiv:1910.14555 [math.FA] (Published 2019-10-31)
On the range of a vector measure
arXiv:2308.03634 [math.FA] (Published 2023-08-07)
Projective and injective tensor products of Banach $L^0$-modules

Links

Toolbox