On matrix rapid filters
Fundamenta Mathematicae (1997)
- Volume: 154, Issue: 2, page 177-182
- ISSN: 0016-2736
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topJust, Winfried, and Vojtáš, Peter. "On matrix rapid filters." Fundamenta Mathematicae 154.2 (1997): 177-182. <http://eudml.org/doc/212232>.
@article{Just1997,
abstract = {Galois-Tukey equivalence between matrix summability and absolute convergence of series is shown and an alternative characterization of rapid ultrafilters on ω is derived.},
author = {Just, Winfried, Vojtáš, Peter},
journal = {Fundamenta Mathematicae},
keywords = {Toeplitz matrix; Galois-Tukey connection; matrix summability; absolute convergence of series; rapid ultrafilters on },
language = {eng},
number = {2},
pages = {177-182},
title = {On matrix rapid filters},
url = {http://eudml.org/doc/212232},
volume = {154},
year = {1997},
}
TY - JOUR
AU - Just, Winfried
AU - Vojtáš, Peter
TI - On matrix rapid filters
JO - Fundamenta Mathematicae
PY - 1997
VL - 154
IS - 2
SP - 177
EP - 182
AB - Galois-Tukey equivalence between matrix summability and absolute convergence of series is shown and an alternative characterization of rapid ultrafilters on ω is derived.
LA - eng
KW - Toeplitz matrix; Galois-Tukey connection; matrix summability; absolute convergence of series; rapid ultrafilters on
UR - http://eudml.org/doc/212232
ER -
References
top- [A] R. Atalla, Regular matrices and P-sets in βNN, Proc. Amer. Math. Soc. 37 (1973), 157-162. Zbl0248.40003
- [M] G. Mokobodzki, Ultrafiltres rapides sur N. Construction d'une densité relative de deux potentiels comparables, in: Séminaire Brelot-Choquet-Deny (Théorie du Potentiel), 12e année, 1967/68, no. 12, pp. 12-01 to 12-22.
- [R] J. Rainwater, Regular matrices with nowhere dense supports, Proc. Amer. Math. Soc. 29 (1971), 361. Zbl0213.08301
- [V1] P. Vojtáš, Generalized Galois-Tukey-connections between explicit relations on classical objects of real analysis, in: Israel Math. Conf. Proc. 6, 1993, 619-643. Zbl0829.03027
- [V2] P. Vojtáš, ω* and absolutely divergent series, Topology Proc. 19 (1994), 335-348.
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