Topological radical of a Banach module
Volume 234 / 2016
Studia Mathematica 234 (2016), 149-164
MSC: Primary 46H25; Secondary 16D.
DOI: 10.4064/sm8443-5-2016
Published online: 2 August 2016
Abstract
We introduce the concept of the topological radical of a Banach module. This closed submodule has two descriptions: as the intersection of the ranges of maximal contractive monomorphisms and as the union of the ranges of small morphisms. The topological radical is an analytic analogue of the radical of a module over a unital ring and has similar categorical properties.
