Artículo
Choquet type L1-spaces of a vector capacity
Autor/es | Delgado Garrido, Olvido
Sánchez Pérez, E. A. |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2017 |
Fecha de depósito | 2021-01-15 |
Publicado en |
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Resumen | Given a set function Λ with values in a Banach space X, we construct an integration theory for scalar functions with respect to Λ by using duality on X and Choquet scalar integrals. Our construction extends the classical ... Given a set function Λ with values in a Banach space X, we construct an integration theory for scalar functions with respect to Λ by using duality on X and Choquet scalar integrals. Our construction extends the classical Bartle–Dunford–Schwartz integration for vector measures. Since just the minimal necessary conditions on Λ are required, several -spaces of integrable functions associated to Λ appear in such a way that the integration map can be defined in them. We study the properties of these spaces and how they are related. We show that the behavior of the -spaces and the integration map can be improved in the case when X is an order continuous Banach lattice, providing new tools for (non-linear) operator theory and information sciences. |
Agencias financiadoras | Ministerio de Economía y Competitividad (MINECO). España Junta de Andalucía |
Identificador del proyecto | MTM2015-65888-C4-1-P
MTM2016-77054-C2-1-P FQM-7276 |
Cita | Delgado Garrido, O. y Sánchez Pérez, E.A. (2017). Choquet type L1-spaces of a vector capacity. Fuzzy Sets and Systems, 327 (november 2017), 98-122. |
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