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.
| Հիմնական հեղինակներ: | , , |
|---|---|
| Ձևաչափ: | Հոդված |
| Լեզու: | English |
| Հրապարակվել է: |
MDPI AG
2021-09-01
|
| Շարք: | Axioms |
| Խորագրեր: | |
| Առցանց հասանելիություն: | https://www.mdpi.com/2075-1680/10/4/237 |
| Ամփոփում: | 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 |