Power concave operators and representation of p-convex and q-concave banach lattices
As a consequence of the analysis of the class of (p, q)-power concave operators, we prove a general representation theorem for p-convex and q-concave Banach lattices as spaces of integrable functions with respect to vector measures. This result culminates a series of representation theorems for Bana...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2017 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/170984 |
| Acceso en línea: | https://hdl.handle.net/11441/170984 https://doi.org/10.7900/jot.2016feb21.2137 |
| Access Level: | acceso abierto |
| Palabra clave: | Banach lattices q-concave operators Quasi-Banach function spaces Vector measures d-ring |
| Sumario: | As a consequence of the analysis of the class of (p, q)-power concave operators, we prove a general representation theorem for p-convex and q-concave Banach lattices as spaces of integrable functions with respect to vector measures. This result culminates a series of representation theorems for Banach lattices using vector measures that have been obtained in the last twenty years. |
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