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arXiv · 1201.2117

Traceability of positive integral operators in the absence of a metric

Mario H. Castro·Valdir A. Menegatto·Ana P. Peron
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Abstract

We investigate the traceability of positive integral operators on $L^2(X,\mu)$ when $X$ is a Hausdorff locally compact second countable space and $\mu$ is a non-degenerate, $\sigma$-finite and locally finite Borel measure. This setting includes other cases proved in the literature, for instance the one in which $X$ is a compact metric space and $\mu$ is a special finite measure. The results apply to spheres, tori and other relevant subsets of the usual space $\mathbb{R}^m$.

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Mario H. Castro, Valdir A. Menegatto, Ana P. Peron. 2012-01-10. Traceability of positive integral operators in the absence of a metric. https://doi.org/10.15352/bjma/1342210163

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