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/