Necessary condition for Kostyuchenko type systems to be a basis in Lebesgue spaces
Volume 127 / 2012
Colloquium Mathematicum 127 (2012), 105-109
MSC: Primary 34L10, 46B15; Secondary 46E30.
DOI: 10.4064/cm127-1-7
Abstract
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 $L_p$ $(1 \leq p < + \infty )$.
