Nuclearity of a nonnegative definite integral kernel on a separable metric space |
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Authors: | Hiroshi Sato |
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Institution: | (1) Department of Mathematics, Kyushu University, 812 Hakozaki, Fukuoka, Japan |
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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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Keywords: | Nuclearity of an integral operator trace of the kernel function U-statistics |
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