Properties of representation systems with respect to summation methods are studied. For a given representation system with respect to a given summation method we study, in particular, the question of the stability of that property after deleting finitely many elements. As a consequence we obtain the existence of null series for the systems with respect to a given method of summation.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc72-0-8,
author = {K. S. Kazarian},
title = {On the representation systems with respect to summation methods},
journal = {Banach Center Publications},
volume = {72},
year = {2006},
pages = {111-117},
zbl = {1151.42311},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc72-0-8}
}
K. S. Kazarian. On the representation systems with respect to summation methods. Banach Center Publications, Tome 72 (2006) pp. 111-117. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc72-0-8/