Total sequences and the lower frame inequality
Functional Analysis
2025-07-11 v2
Abstract
We prove that every total sequence in a Hilbert space satisfies the lower frame inequality after scaling. This solves A. Kulikov's "exercise" at mathoverflow.
Keywords
Cite
@article{arxiv.2507.04899,
title = {Total sequences and the lower frame inequality},
author = {Narutaka Ozawa},
journal= {arXiv preprint arXiv:2507.04899},
year = {2025}
}
Comments
2 pages; proof simplified (v2)