Schatten classes on noncommutative tori: Kernel conditions

Published 12 Jul 2024 in math.OA and math.FA | (2407.09715v2)

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.

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