Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2007), pp. 58-62
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T. E. Khmyleva; I. P. Bukhtina. On some sequence of Hilbert space elements, which is not basis. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2007), pp. 58-62. http://geodesic.mathdoc.fr/item/VTGU_2007_1_a8/
@article{VTGU_2007_1_a8,
author = {T. E. Khmyleva and I. P. Bukhtina},
title = {On some sequence of {Hilbert} space elements, which is not basis},
journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
pages = {58--62},
year = {2007},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VTGU_2007_1_a8/}
}
TY - JOUR
AU - T. E. Khmyleva
AU - I. P. Bukhtina
TI - On some sequence of Hilbert space elements, which is not basis
JO - Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika
PY - 2007
SP - 58
EP - 62
IS - 1
UR - http://geodesic.mathdoc.fr/item/VTGU_2007_1_a8/
LA - ru
ID - VTGU_2007_1_a8
ER -
%0 Journal Article
%A T. E. Khmyleva
%A I. P. Bukhtina
%T On some sequence of Hilbert space elements, which is not basis
%J Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika
%D 2007
%P 58-62
%N 1
%U http://geodesic.mathdoc.fr/item/VTGU_2007_1_a8/
%G ru
%F VTGU_2007_1_a8
In this paper we consider the sequence of Hilbert space elements $\{g_n\}^\infty_{n=1}$, for which angles between any two elements $g_n$ and $g_m$ are the same. We prove that this sequence is not the basis in Hilbert space, moreover is not the basal sequence in Hilbert space.
