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arXiv · 1403.6158

Schatten classes on compact manifolds: Kernel conditions

Julio Delgado·Michael Ruzhansky
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Abstract

In this paper we give criteria on integral kernels ensuring that integral operators on compact manifolds belong to Schatten classes. A specific test for nuclearity is established as well as the corresponding trace formulae. In the special case of compact Lie groups, kernel criteria in terms of (locally and globally) hypoelliptic operators are also given.

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Julio Delgado, Michael Ruzhansky. 2014-03-24. Schatten classes on compact manifolds: Kernel conditions. https://doi.org/10.1016/j.jfa.2014.04.016

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