Necessary condition for Kostyuchenko type systems to be a basis in Lebesgue spaces
Colloquium Mathematicum, Tome 127 (2012) no. 1, pp. 105-109.

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A necessary condition for Kostyuchenko type systems and system of powers to be a basis in $L_p$ $(1 \leq p + \infty )$ spaces is obtained. In particular, we find a necessary condition for a Kostyuchenko system to be a basis in $L_p$ $(1 \leq p + \infty )$.
DOI : 10.4064/cm127-1-7
Keywords: necessary condition kostyuchenko type systems system powers basis leq infty spaces obtained particular necessary condition kostyuchenko system basis leq infty

Aydin Sh. Shukurov 1

1 Institute of Mathematics and Mechanics NAS of Azerbaijan Az1141, F. Agayev 9 Baku, Azerbaijan and Baku State University Baku, Azerbaijan
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Aydin Sh. Shukurov. Necessary condition for Kostyuchenko type systems to be a basis in Lebesgue spaces. Colloquium Mathematicum, Tome 127 (2012) no. 1, pp. 105-109. doi : 10.4064/cm127-1-7. http://geodesic.mathdoc.fr/articles/10.4064/cm127-1-7/

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