Direct and inverse limits of normed modules

2019/02/11 by Pasqualetto, Enrico
#13C05 #30L99 #53C23 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1902.04126

Abstract

The aim of this note is to study existence and main properties of direct and inverse limits in the category of normed L⁰-modules (in the sense of Gigli) over a metric measure space.

Related

• The L⁰-extension of an L^∞-normed module
• The Serre-Swan theorem for normed modules
• Limits and colimits in the category of Banach L⁰-modules
• Representation theorems for normed modules
• Metric version of projectivity for normed modules over sequence algebras