Reflexivity of function spaces associated to a σ-finite vector measure

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:438

Article

del Campo, Ricardo¹  Fernandez, Antonio²  Mayoral, Fernando²  Naranjo, Francisco² 

[1] Univ Seville, EUITA, Dpto Matemat Aplicada 1, Ctra Utrera Km 1, Seville 41013, Spain

[2] Escuela Tecn Super Ingn, Dpto Matemat Aplicada 2, Camino Descubrimientos S-N, Seville 41092, Spain

关键词: Reflexivity;    Integrable function;    Vector measure;    delta-ring;    Locally strongly additive measure;   

DOI  :  10.1016/j.jmaa.2016.01.076

来源: Elsevier

【 摘 要 】

For a vector measure v defined on a delta-ring with values in a Banach space and 1 < p < infinity, we characterise the reflexivity of the different spaces L-w(p),(v) (integrability in the weak sense), L-p(v) (integrability in the strong sense), and L-p(parallel to v parallel to) (integrability in the Choquet sense). (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free