| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] ICMC USP, Dept Matemat, BR-13560970 Sao Carlos, SP - Brazil
[2] ICE UNIFEI, Dept Matemat & Comp, BR-37500903 Itajuba, MG - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Integral Equations and Operator Theory; v. 74, n. 3, p. 363-375, NOV 2012. |
| Web of Science Citations: | 0 |
| Abstract | |
We extend Mercer's theorem to a composition of the form RS, in which R and S are integral operators acting on a space L-2(X) generated by a locally finite measure space (X, nu). The operator R is compact and positive while S is continuous and having spectral decomposition based on well distributed eigenvalues. The proof is based on a Pontryagin space structure for L-2(X) constructed via the operators R and S themselves. (AU) | |
| FAPESP's process: | 10/19734-6 - Analysis of integral operators generated by positive definite kernels |
| Grantee: | Valdir Antonio Menegatto |
| Support Opportunities: | Regular Research Grants |