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.
| Hauptverfasser: | , , |
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| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
MDPI AG
2021-09-01
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| Schriftenreihe: | Axioms |
| Schlagworte: | |
| Online Zugang: | https://www.mdpi.com/2075-1680/10/4/237 |
| Zusammenfassung: | 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. |
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| ISSN: | 2075-1680 |