Abstract
The aim of this paper is to characterize the nuclearity of an integral operator, defined by a continuous non-negative definite square integrable kernel on a separable metric space, in terms of the integrability of the trace of the kernel function. Nuclearity here plays a role forU-statistics.
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References
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Sato, H. Nuclearity of a nonnegative definite integral kernel on a separable metric space. J Theor Probab 5, 349–353 (1992). https://doi.org/10.1007/BF01046740
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DOI: https://doi.org/10.1007/BF01046740