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.
Prif Awduron: | , , |
---|---|
Fformat: | Erthygl |
Iaith: | English |
Cyhoeddwyd: |
MDPI AG
2021-09-01
|
Cyfres: | Axioms |
Pynciau: | |
Mynediad Ar-lein: | https://www.mdpi.com/2075-1680/10/4/237 |