Density of Sums of Shifts of a Single Vector in Sequence Spaces


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Abstract

We prove that in the real space l2(ℤ) of two-sided sequences there is an element such that the sums of its shifts are dense in all real spaces lp(ℤ), 2 ≤ p < ∞, as well as in the real space c0(ℤ).

About the authors

P. A. Borodin

Faculty of Mechanics and Mathematics

Author for correspondence.
Email: pborodin@inbox.ru
Russian Federation, Moscow, 119991

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