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.

Номзүйн дэлгэрэнгүй
Үндсэн зохиолчид: Alberto Castejón, Eusebio Corbacho, Vaja Tarieladze
Формат: Өгүүллэг
Хэл сонгох:English
Хэвлэсэн: MDPI AG 2021-09-01
Цуврал:Axioms
Нөхцлүүд:
Онлайн хандалт:https://www.mdpi.com/2075-1680/10/4/237

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