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.
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1990 ◽
Vol 137
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pp. 1
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1963 ◽
Vol 34
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pp. 668-671
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2010 ◽
Vol 10
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pp. 26-32
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2006 ◽
Vol 23
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pp. 341-348
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