Topological structures in Colombeau algebras: topological $\widetilde{\C}$-modules and duality theory

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dc.creatorGaretto, Claudia
dc.date2004-07-01
dc.date2005-02-12
dc.date.accessioned2026-07-07T05:09:53Z
dc.date.available2026-07-07T05:09:53Z
dc.descriptionWe study modules over the ring $\widetilde{\C}$ of complex generalized numbers from a topological point of view, introducing the notions of $\widetilde{\C}$-linear topology and locally convex $\widetilde{\C}$-linear topology. In this context particular attention is given to completeness, continuity of $\widetilde{\C}$-linear maps and elements of duality theory for topological $\widetilde{\C}$-modules. As main examples we consider various Colombeau algebras of generalized functions
dc.identifierhttps://arxiv.org/abs/math/0407015
dc.identifierhttp://arxiv.org/abs/math/0407015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71751
dc.subjectGeneral Topology
dc.subject46F30, 13J99, 46A20
dc.titleTopological structures in Colombeau algebras: topological $\widetilde{\C}$-modules and duality theory
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