Geodesic
On a paper by Khmyleva and Bukhtina
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 6 (2015), pp. 56-59 Cet article a éte moissonné depuis la source Math-Net.Ru

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It is well know that every separable Hilbert space possesses an orthonormal Schauder bases, i.e. a Schauder bases $\{x_n\}_{n=1}^\infty$, for which $||x||=1$ and $(x_n,x_m)=0$ for any $n, m\in N$, $n\ne m$. In this note, we consider a sequence of elements in a Hilbert space for which angles between any two terms are equal and different from zero. Basicity and some other properties of such systems are investigated. In particular, a short proof of a result by Khmyleva and Bukhtina is provided and a more general form of this result is stated.
Mots-clés : Schauder bases
Keywords: system of representation, Hilbert space, orthonormal system. 
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     title = {On a paper by {Khmyleva} and {Bukhtina}},
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A. Sh. Shukurov. On a paper by Khmyleva and Bukhtina. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 6 (2015), pp. 56-59. http://geodesic.mathdoc.fr/item/VTGU_2015_6_a6/

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