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.

書誌詳細
主要な著者: Alberto Castejón, Eusebio Corbacho, Vaja Tarieladze
フォーマット: 論文
言語:English
出版事項: MDPI AG 2021-09-01
シリーズ:Axioms
主題:
オンライン・アクセス:https://www.mdpi.com/2075-1680/10/4/237