Geodesic
Topological radical of a Banach module
Oleg Yu. Aristov1
1 36, 122 Lenin St. 249034 Obninsk, Russia
Studia Mathematica, Tome 234 (2016) no. 2, pp. 149-164

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm8443-5-2016
Keywords: introduce concept topological radical banach module closed submodule has descriptions intersection ranges maximal contractive monomorphisms union ranges small morphisms topological radical analytic analogue radical module unital ring has similar categorical properties

Oleg Yu. Aristov 1

1 36, 122 Lenin St. 249034 Obninsk, Russia 
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Oleg Yu. Aristov. Topological radical of a Banach module. Studia Mathematica, Tome 234 (2016) no. 2, pp. 149-164. doi: 10.4064/sm8443-5-2016

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