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.

Bibliografiset tiedot
Päätekijät: Alberto Castejón, Eusebio Corbacho, Vaja Tarieladze
Aineistotyyppi: Artikkeli
Kieli:English
Julkaistu: MDPI AG 2021-09-01
Sarja:Axioms
Aiheet:
Linkit:https://www.mdpi.com/2075-1680/10/4/237