Schatten classes on noncommutative tori: Kernel conditions
Operator Algebras
2024-07-24 v2 Functional Analysis
Abstract
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.
Cite
@article{arxiv.2407.09715,
title = {Schatten classes on noncommutative tori: Kernel conditions},
author = {Michael Ruzhansky and Kai Zeng},
journal= {arXiv preprint arXiv:2407.09715},
year = {2024}
}
Comments
changes of some notations, made some changes in subsection 2.1. arXiv admin note: text overlap with arXiv:1909.03659 by other authors