Riemann Rearrangement Theorem for some types of convergence

Details Riemann Rearrangement Theorem for some types of convergence Riemann Rearrangement Theorem for some types of convergence

2006-12-28

arxiv.org/abs/math/0612840v1

Mathematics

Functional Analysis

13 pages

Scientific paper

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.

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