Artículo
Lp-valued measures without finite X-semivariation for 2 < p < ∞
Autor/es | Jefferies, Brian
Okada, Susumu Rodríguez Piazza, Luis |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2007 |
Fecha de depósito | 2018-02-01 |
Publicado en |
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Resumen | We show that for 1 ≤ p < ∞, the property that every Lp-valued vector
measure has finite X-semivariation in Lp(μ, X) is equivalent to the property that
every continuous linear map from 1 to X is p-summing. For 2 < p < ... We show that for 1 ≤ p < ∞, the property that every Lp-valued vector measure has finite X-semivariation in Lp(μ, X) is equivalent to the property that every continuous linear map from 1 to X is p-summing. For 2 < p < ∞, we explicitly construct an Lp([0, 1])-valued measure without finite Lp-semivariation. |
Identificador del proyecto | CTESIN2005/025
DGU # SAB 2004-0206 MTM 2006-11690-C02-01 2488-I+D+I-2007-UPV D.G.I. BFM 2003-01297 |
Cita | Jefferies, B., Okada, S. y Rodríguez Piazza, L. (2007). Lp-valued measures without finite X-semivariation for 2 < p < ∞. Quaestiones Mathematicae, 30 (4), 437-449. |
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