Topological radical of Banach module

Details Topological radical of Banach module Topological radical of Banach module

2012-03-21

arxiv.org/abs/1203.4760v1

Mathematics

Functional Analysis

Scientific paper

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.

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