Schatten classes on noncommutative tori: Kernel conditions
arXiv:2407.09715
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.
changes of some notations, made some changes in subsection 2.1. arXiv admin note: text overlap with arXiv:1909.03659 by other authors