On the joint continuity of module multiplication

Let A be any topological algebra over R or C. We show that the property of a topological left (right or two-sided) A-module to have a jointly continuous action of A is inherited by submodules, quotient modules, completion, direct products, direct sums, projective limits and injective limits. In the...

Full description

Bibliographic Details
Main Author: Mart Abel
Format: Article
Language:English
Published: Estonian Academy Publishers 2023-01-01
Series:Proceedings of the Estonian Academy of Sciences
Subjects:
Online Access:https://kirj.ee/wp-content/plugins/kirj/pub/proc-1-2023-6-16_20230102130716.pdf