Riemann Rearrangement Theorem for some types of convergence

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We reexamine the Riemann Rearrangement Theorem for different types of convergence. We consider series convergence with respect to a filter. We describe the Sum Range (SR) of a series along the 2n-filter and for statistically convergent series.
13 pages

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Functional Analysis, 40A05; 46B15

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http://salesiana.dossiersoluciones.com/handle/123456789/120850

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0612840
 http://arxiv.org/abs/math/0612840

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arXiv