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arXiv · 2311.16757

Discrete Translates of an Operator in the Schatten $p$-Classes

Bhawna Dharra·S. Sivananthan·D. Venku Naidu
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Abstract

In this manuscript, we investigate the properties of systems formed by translations of an operator in the Schatten $p$-classes $\mathcal{T}^p$. We establish the existence of Schauder frames of integer translates in $\mathcal{T}^p$ for $p>2$. Later, we provide an instance of a uniformly discrete $\Lambda \subset \mathbb{R}^{2d}$ such that there exists an operator whose $\Lambda$-translates are complete in $\mathcal{T}^p$ for all $p>1$.

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Bhawna Dharra, S. Sivananthan, D. Venku Naidu. 2023-11-28. Discrete Translates of an Operator in the Schatten $p$-Classes. https://arxiv.org/abs/2311.16757

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