Necessary condition for Kostyuchenko type systems to be a basis in Lebesgue spaces

Aydin Sh. Shukurov. "Necessary condition for Kostyuchenko type systems to be a basis in Lebesgue spaces." Colloquium Mathematicae 127.1 (2012): 105-109. <http://eudml.org/doc/283686>.

@article{AydinSh2012,
abstract = {A necessary condition for Kostyuchenko type systems and system of powers to be a basis in $L_\{p\}$ (1 ≤ p < +∞) spaces is obtained. In particular, we find a necessary condition for a Kostyuchenko system to be a basis in $L_\{p\}$ (1 ≤ p < +∞).},
author = {Aydin Sh. Shukurov},
journal = {Colloquium Mathematicae},
keywords = {bases; Kostyuchenko system; system of powers},
language = {eng},
number = {1},
pages = {105-109},
title = {Necessary condition for Kostyuchenko type systems to be a basis in Lebesgue spaces},
url = {http://eudml.org/doc/283686},
volume = {127},
year = {2012},
}

TY - JOUR
AU - Aydin Sh. Shukurov
TI - Necessary condition for Kostyuchenko type systems to be a basis in Lebesgue spaces
JO - Colloquium Mathematicae
PY - 2012
VL - 127
IS - 1
SP - 105
EP - 109
AB - A necessary condition for Kostyuchenko type systems and system of powers to be a basis in $L_{p}$ (1 ≤ p < +∞) spaces is obtained. In particular, we find a necessary condition for a Kostyuchenko system to be a basis in $L_{p}$ (1 ≤ p < +∞).
LA - eng
KW - bases; Kostyuchenko system; system of powers
UR - http://eudml.org/doc/283686
ER -