Article
Abstract Riemann integrability and measurability
Author/s | Amo, Enrique de
Campo Acosta, Ricardo del ![]() ![]() ![]() ![]() ![]() ![]() Díaz Carrillo, M. |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2009 |
Deposit Date | 2022-07-26 |
Published in |
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Abstract | 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. |
Citation | Amo, E.d., Campo Acosta, R.d. y Díaz Carrillo, M. (2009). Abstract Riemann integrability and measurability. Czechoslovak Mathematical Journal, 59 (4), 1123-1139. |
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