Artículo
Abstract Riemann integrability and measurability
Autor/es | Amo, Enrique de
Campo Acosta, Ricardo del ![]() ![]() ![]() ![]() ![]() ![]() Díaz Carrillo, M. |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2009 |
Fecha de depósito | 2022-07-26 |
Publicado en |
|
Resumen | We prove that the spectral sets of any positive abstract Riemann integrable
function are measurable but (at most) a countable amount of them. In addition, the
integral of such a function can be computed as an improper ... We prove that the spectral sets of any positive abstract Riemann integrable function are measurable but (at most) a countable amount of them. In addition, the integral of such a function can be computed as an improper classical Riemann integral of the measures of its spectral sets under some weak continuity conditions which in fact characterize the integral representation. |
Cita | Amo, E.d., Campo Acosta, R.d. y Díaz Carrillo, M. (2009). Abstract Riemann integrability and measurability. Czechoslovak Mathematical Journal, 59 (4), 1123-1139. |
Ficheros | Tamaño | Formato | Ver | Descripción |
---|---|---|---|---|
Amo2009_Article_AbstractRieman ... | 334.1Kb | ![]() | Ver/ | |