非交换环上的夏顿类：内核条件

arXiv - MATH - Operator Algebras Pub Date : 2024-07-12 DOI:arxiv-2407.09715

M. Ruzhansky, K. Zeng

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引用次数: 0

摘要

在本论文中，我们给出了非交换积分核的标准，以确保量子环上的积分算子属于沙腾类。通过量子环上的非交换施瓦茨核定理，我们建立了量子环上有界算子的沙腾类性质的特定检验。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Schatten classes on noncommutative tori: Kernel conditions

In this note, we give criteria on noncommutative integral kernels ensuring that integral operators on quantum torus belong to Schatten classes. With the engagement of a noncommutative Schwartz' kernel theorem on the quantum torus, a specific test for Schatten class properties of bounded operators on the quantum torus is established.

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arXiv - MATH - Operator Algebras

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