Fragments de Théorie

  Completion of Z-graded algebras: generalized Laurent's series

Abstract These notes contain a realization of the completion of a graded algebra (with respect to its associated filtration) as an algebra of Laurent's series ([pdf]).

  Notes on a space with a pair of norms with a particular property

Abstract These notes concern a space with a pair of norms with a particular property ([pdf]).

  A note on topological dual space for the pointwise convergence and continuous endomorphisms

Abstract In this note, we prove that the topological dual of K^X for K an Hausdorff topological field is isomorphic to K^(X). As a consequence, we prove that in these conditions, the set of infinite matrices with finitely supported rows is equipotent to the set of all continuous endomorphisms. ([pdf]).