On some sequence of Hilbert space elements, which isnot basis | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2007. № 1.

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On some sequence of Hilbert space elements, which isnot basis

In this paper we consider the sequence of Hilbert space elements {gn}n=1, for which angles between any two elements gn and gm 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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Authors

NameOrganizationE-mail
Khmyleva T.E.
Bukhtina I.P. irina.bukhtina@gmail.com
Всего: 2

References

Гринблюм М.М. О представлении пространства типа В в виде прямой суммы пространств // ДАН. 1950. Т. 70. Вып. 5. С. 749 - 752.
Гринблюм М.М. Некоторые теоремы о базисе в пространстве типа (В) // ДАН. 1941. Т. 31. Вып. 5. С. 428 - 432.
On some sequence of Hilbert space elements, which isnot basis | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2007. № 1.

On some sequence of Hilbert space elements, which isnot basis | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2007. № 1.

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