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.

Manylion Llyfryddiaeth
Prif Awduron: Alberto Castejón, Eusebio Corbacho, Vaja Tarieladze
Fformat: Erthygl
Iaith:English
Cyhoeddwyd: MDPI AG 2021-09-01
Cyfres:Axioms
Pynciau:
Mynediad Ar-lein:https://www.mdpi.com/2075-1680/10/4/237