TRACEABILITY OF POSITIVE INTEGRAL OPERATORS IN THE ABSENCE OF A METRIC

Autor(es)

de Castro, Mario H. ; Menegatto, Valdir A. ; Peron, Ana P.

• Tipo de documento: Artigo Científico
• Fonte: BANACH JOURNAL OF MATHEMATICAL ANALYSIS; v. 6, n. 2, p. 15-pg., 2012-01-01.

Resumo

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 R-m. (AU)

• Processo FAPESP: 08/54221-0 - Aproximacao da identidade e nucleos positivos definidos em esferas
• Beneficiário: Ana Paula Peron
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• 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