A necessary condition for Kostyuchenko type systems and system of powers to be a basis in (1 ≤ p < +∞) spaces is obtained. In particular, we find a necessary condition for a Kostyuchenko system to be a basis in (1 ≤ p < +∞).
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm127-1-7,
author = {Aydin Sh. Shukurov},
title = {Necessary condition for Kostyuchenko type systems to be a basis in Lebesgue spaces},
journal = {Colloquium Mathematicae},
volume = {126},
year = {2012},
pages = {105-109},
zbl = {1260.46008},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm127-1-7}
}
Aydin Sh. Shukurov. Necessary condition for Kostyuchenko type systems to be a basis in Lebesgue spaces. Colloquium Mathematicae, Tome 126 (2012) pp. 105-109. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm127-1-7/