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Definition: Rearrangement of Infinite Series
Let \(\sum_{k=0}^\infty x_k\) be a real series and let \(\sigma:\mathbb N\to\mathbb N\) be a permutation of its indices. Then the series
\[\sum_{k=0}^\infty x_{\sigma(k)}\]
is called the rearrangement of the original real series.
Table of Contents
 Proposition: Rearrangement of Absolutely Convergent Series
 Proposition: Rearrangement of Convergent Series
Mentioned in:
Proofs: 1
Propositions: 2 3
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References
Bibliography
 Forster Otto: "Analysis 1, Differential und Integralrechnung einer VerĂ¤nderlichen", Vieweg Studium, 1983