Galois-Tukey equivalence between matrix summability and absolute convergence of series is shown and an alternative characterization of rapid ultrafilters on ω is derived.
@article{bwmeta1.element.bwnjournal-article-fmv154i2p177bwm,
author = {Winfried Just and Peter Vojt\'a\v s},
title = {On matrix rapid filters},
journal = {Fundamenta Mathematicae},
volume = {154},
year = {1997},
pages = {177-182},
zbl = {0952.03055},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv154i2p177bwm}
}
Just, Winfried; Vojtáš, Peter. On matrix rapid filters. Fundamenta Mathematicae, Tome 154 (1997) pp. 177-182. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv154i2p177bwm/
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