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.

Podrobná bibliografie
Hlavní autoři: Alberto Castejón, Eusebio Corbacho, Vaja Tarieladze
Médium: Článek
Jazyk:English
Vydáno: MDPI AG 2021-09-01
Edice:Axioms
Témata:
On-line přístup:https://www.mdpi.com/2075-1680/10/4/237