Riemann Rearrangement Theorem for some types of convergence
Functional Analysis
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0612840,
title = {Riemann Rearrangement Theorem for some types of convergence},
author = {Yuriy Dybskiy and Konstantin Slutsky},
journal= {arXiv preprint arXiv:math/0612840},
year = {2007}
}
Comments
13 pages