This article is cited in 4 papers

MATHEMATICS

On some sequence of Hilbert space elements, which is not basis

T. E. Khmyleva, I. P. Bukhtina

Tomsk State University, Faculty of Mechanics and Mathematics

Abstract: 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.

UDC: 517.982


Accepted: December 6, 2007