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arXiv · 1203.4760

Topological radical of Banach module

Oleg Aristov
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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.

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Oleg Aristov. 2012-03-21. Topological radical of Banach module. https://doi.org/10.4064/sm8443-5-2016

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