Schatten classes on compact manifolds: Kernel conditions
Functional Analysis
2014-12-30 v1 Analysis of PDEs
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.
Keywords
Cite
@article{arxiv.1403.6158,
title = {Schatten classes on compact manifolds: Kernel conditions},
author = {Julio Delgado and Michael Ruzhansky},
journal= {arXiv preprint arXiv:1403.6158},
year = {2014}
}
Comments
22 pages