Topological structures in Colombeau algebras: topological ℂ̃-modules and duality theory

We study modules over the ring ℂ̃ of complex generalized numbers from a topological point of view, introducing the notions of ℂ̃-linear topology and locally convex ℂ̃-linear topology. In this context particular attention is given to completeness, continuity of ℂ̃-linear maps and elements of duality...

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Bibliographic Details

Main Author:	Claudia Garetto
Format:	Default Article
Published:	2005
Subjects:	Other mathematical sciences not elsewhere classified Algebras of generalized functions Duality theory Modules over the ring of complex generalized numbers Topology Mathematical Sciences not elsewhere classified
Online Access:	https://hdl.handle.net/2134/17311
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