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

Аннотация

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 l_p(ℤ), 2 ≤ p < ∞, as well as in the real space c₀(ℤ).