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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2311.16757 |
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Table of Contents:
- 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 $Λ\subset \mathbb{R}^{2d}$ such that there exists an operator whose $Λ$-translates are complete in $\mathcal{T}^p$ for all $p>1$.