On some sequence of Hilbert space elements, which is not basis
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2007), pp. 58-62 Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
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     title = {On some sequence of {Hilbert} space elements, which is not basis},
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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/

[1] Grinblyum M.M., “O predstavlenii prostranstva tipa V v vide pryamoi summy prostranstv”, DAN, 70:5 (1950), 749–752 | MR | Zbl

[2] Grinblyum M.M., “Nekotorye teoremy o bazise v prostranstve tipa (V)”, DAN, 31:5 (1941), 428–432 | MR | Zbl