Representation of operators by kernels

Autores: Peter Stollmann
Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 42, Fasc. 3, 1991, págs. 285-292
Idioma: inglés
Títulos paralelos:
- Representación de operadores por kernels
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Resumen
- We prove that differences of order-continuous operators acting between function spaces can be represented with a pseudo-kernel, proved the underlying measure spaces satisfy certain (rather weak) conditions. To see that part of these conditions are necessary, we show that the strict localizability of a measure space can be characterized by the existence of a pseudo-kernel for a certain operator.