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.

Bibliografiske detaljer
Main Authors: Alberto Castejón, Eusebio Corbacho, Vaja Tarieladze
Format: Article
Sprog:English
Udgivet: MDPI AG 2021-09-01
Serier:Axioms
Fag:
Online adgang:https://www.mdpi.com/2075-1680/10/4/237