Artículo
Optimal domain of q-concave operators and vector measure representation of q-concave Banach lattices
Autor/es | Delgado Garrido, Olvido
Sánchez Pérez, E. A. |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2015 |
Fecha de depósito | 2021-01-08 |
Publicado en |
|
Resumen | Given a Banach space valued q-concave linear operator T defined on a
σ-order continuous quasi-Banach function space, we provide a description of the
optimal domain of T preserving q-concavity, that is, the largest σ-order ... Given a Banach space valued q-concave linear operator T defined on a σ-order continuous quasi-Banach function space, we provide a description of the optimal domain of T preserving q-concavity, that is, the largest σ-order continuous quasi-Banach function space to which T can be extended as a q-concave operator. We show in this way the existence of maximal extensions for q-concave operators. As an application, we show a representation theorem for q-concave Banach lattices through spaces of integrable functions with respect to a vector measure. This result culminates a series of representation theorems for Banach lattices using vector measures that have been obtained in the last twenty years. |
Agencias financiadoras | Ministerio de Economía y Competitividad (MINECO). España Junta de Andalucía Junta de Andalucía |
Identificador del proyecto | MTM2012-36732-C03-03
FQM-262 FQM-7276 |
Cita | Delgado Garrido, O. y Sánchez Pérez, E.A. (2015). Optimal domain of q-concave operators and vector measure representation of q-concave Banach lattices. ArXiv.org, arXiv:1511.02337 |
Ficheros | Tamaño | Formato | Ver | Descripción |
---|---|---|---|---|
Optimal domain of -concave ... | 292.0Kb | [PDF] | Ver/ | |