Density of Sums of Shifts of a Single Vector in Sequence Spaces
- Authors: Borodin P.A.1
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Affiliations:
- Faculty of Mechanics and Mathematics
- Issue: Vol 303, No 1 (2018)
- Pages: 31-35
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175658
- DOI: https://doi.org/10.1134/S0081543818080047
- ID: 175658
Cite item
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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