| Texto completo | |
| Autor(es): |
Número total de Autores: 2
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| Afiliação do(s) autor(es): | [1] ICMC USP, Dept Matemat, BR-13560970 Sao Carlos, SP - Brazil
[2] ICE UNIFEI, Dept Matemat & Comp, BR-37500903 Itajuba, MG - Brazil
Número total de Afiliações: 2
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| Tipo de documento: | Artigo Científico |
| Fonte: | Integral Equations and Operator Theory; v. 74, n. 3, p. 363-375, NOV 2012. |
| Citações Web of Science: | 0 |
| Resumo | |
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) | |
| Processo FAPESP: | 10/19734-6 - Análise de operadores integrais gerados por núcleos positivos definidos |
| Beneficiário: | Valdir Antonio Menegatto |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |