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.
| मुख्य लेखकों: | , , |
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| स्वरूप: | लेख |
| भाषा: | English |
| प्रकाशित: |
MDPI AG
2021-09-01
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| श्रृंखला: | Axioms |
| विषय: | |
| ऑनलाइन पहुंच: | https://www.mdpi.com/2075-1680/10/4/237 |
| सारांश: | 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. |
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| आईएसएसएन: | 2075-1680 |