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.
| Glavni autori: | , , |
|---|---|
| Format: | Članak |
| Jezik: | English |
| Izdano: |
MDPI AG
2021-09-01
|
| Serija: | Axioms |
| Teme: | |
| Online pristup: | https://www.mdpi.com/2075-1680/10/4/237 |
| Sažetak: | 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 |