Topological structures in Colombeau algebras: topological ℂ̃-modules and duality theory
journal contributionposted on 20.04.2015, 11:17 by Claudia Garetto
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 theory for topological ℂ̃-modules. As main examples we consider various Colombeau algebras of generalized functions. © Springer 2005.
- Mathematical Sciences