Total sequences and the lower frame inequality

2025/07/07 by Narutaka Ozawa, Ozawa, Narutaka
Mathematics · #Advanced Banach Space Theory #Holomorphic and Operator Theory #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.2507.04899

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.

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