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.
Үндсэн зохиолчид: | Alberto Castejón, Eusebio Corbacho, Vaja Tarieladze |
---|---|
Формат: | Өгүүллэг |
Хэл сонгох: | English |
Хэвлэсэн: |
MDPI AG
2021-09-01
|
Цуврал: | Axioms |
Нөхцлүүд: | |
Онлайн хандалт: | https://www.mdpi.com/2075-1680/10/4/237 |
Ижил төстэй зүйлс
Ижил төстэй зүйлс
-
Representations of commutative semitopological semigroups/
-н: 357415 Dunkl, Charles F., зэрэг
Хэвлэсэн: (1975) -
The theory of topological semigroups/
-н: Carruth, J. Harvey (James Harvey), 1938-, зэрэг
Хэвлэсэн: (1983) -
Compact right topological semigroups and generalizations of almost periodicity/
-н: 181959 Berglund, J. F., зэрэг
Хэвлэсэн: (1978) -
A topological approach for rough semigroups
-н: Nurettin Bağırmaz
Хэвлэсэн: (2024-10-01) -
Thickness in topological transformation semigroups
-н: Tyler Haynes
Хэвлэсэн: (1993-01-01)