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.
| Main Authors: | , , |
|---|---|
| פורמט: | Article |
| שפה: | English |
| יצא לאור: |
MDPI AG
2021-09-01
|
| סדרה: | Axioms |
| נושאים: | |
| גישה מקוונת: | https://www.mdpi.com/2075-1680/10/4/237 |
| סיכום: | 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. |
|---|---|
| ISSN: | 2075-1680 |