Topological radical of Banach module
Functional Analysis
2019-03-20 v4
Abstract
We introduce the concept of topological radical of a Banach module. This closed submodule have two description: the as the intersection of ranges of maximal contractive monomorphism (from outside) and as the union of ranges of small morphisms (from inside). This concept is a functional analytic analogue for radical of module over a unital ring and has the similar categorical properties.
Cite
@article{arxiv.1203.4760,
title = {Topological radical of Banach module},
author = {Oleg Aristov},
journal= {arXiv preprint arXiv:1203.4760},
year = {2019}
}