Matematičeskie zametki, Tome 19 (1976) no. 2, pp. 259-266
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Yu. F. Korobeinik. Absolute bases in Hilbert space. Matematičeskie zametki, Tome 19 (1976) no. 2, pp. 259-266. http://geodesic.mathdoc.fr/item/MZM_1976_19_2_a10/
@article{MZM_1976_19_2_a10,
author = {Yu. F. Korobeinik},
title = {Absolute bases in {Hilbert} space},
journal = {Matemati\v{c}eskie zametki},
pages = {259--266},
year = {1976},
volume = {19},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1976_19_2_a10/}
}
TY - JOUR
AU - Yu. F. Korobeinik
TI - Absolute bases in Hilbert space
JO - Matematičeskie zametki
PY - 1976
SP - 259
EP - 266
VL - 19
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_1976_19_2_a10/
LA - ru
ID - MZM_1976_19_2_a10
ER -
%0 Journal Article
%A Yu. F. Korobeinik
%T Absolute bases in Hilbert space
%J Matematičeskie zametki
%D 1976
%P 259-266
%V 19
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1976_19_2_a10/
%G ru
%F MZM_1976_19_2_a10
In this paper a necessary and sufficient conditions is found for a sequence of elements of a Hilbert space to be an absolute basis in the closure of its linear hull. The result obtained is applied to a specific system of functions from the space $H_2$.
