Series with Commuting Terms in Topologized Semigroups

We show that the following general version of the Riemann–Dirichlet theorem is true: if every rearrangement of a series with pairwise commuting terms in a Hausdorff topologized semigroup converges, then its sum range is a singleton.

Detalles Bibliográficos
Autores principales: Alberto Castejón, Eusebio Corbacho, Vaja Tarieladze
Formato: Artículo
Lenguaje:English
Publicado: MDPI AG 2021-09-01
Colección:Axioms
Materias:
Acceso en línea:https://www.mdpi.com/2075-1680/10/4/237