Spaces of p-integrable Functions with Respect to a Vector Measure

被引:0
作者
Antonia Fernández
Fernando Mayoral
Francisco Naranjo
Carman Sáez
Enrigue A. Sánchez-Pérez
机构
[1] Escuela Técnica Superior de Ingenieros,Dpto. Matemática Aplicada II
[2] Escuela Universitaria Politécnica,Dpto. Matemática Aplicada II
[3] Universidad Politécnica de Valencia,Dpto. de Matemática Aplicada
来源
Positivity | 2006年 / 10卷
关键词
46G10; 46E30; Vector measure; integration; function spaces; L-weakly compact operators; -spaces;
D O I
暂无
中图分类号
学科分类号
摘要
We study several properties of the Banach lattices Lp (m) and Lpw (m) of p-integrable scalar functions and weakly p-integrable scalar functions with respect to a countably additive vector measure m. The relation between these two spaces plays a fundamental role in our analysis.
引用
收藏
页码:1 / 16
页数:15
相关论文
共 31 条
  • [11] Paul P.J.(1994)Criteria for weak compactness of vector-valued integration maps Comment. Math. Univ. Carolin. 35 485-495
  • [12] Fernández A.(1994)Compactness properties of the integration map associated with a vector measure Colloq. Math. 66 175-185
  • [13] Naranjo F.(2002)Criteria for determining compactness of the integration operator associated with a vector measure Tatra Mt. Math. Publ. 24 175-188
  • [14] Lewis D.R.(2002)Compactness of the integration operator associated with a vector measure Studia Math. 150 133-149
  • [15] Lewis D.R.(1992)Separability of the L 1-space of a vector measure Glasgow Math. J. 34 1-9
  • [16] Okada S.(2001)Compactness arguments for spaces of p-integrable of functions with respect to a vector measure and factorization of operators through Lebesgue-Bochner spaces, Illinois J. Math. 45 907-923
  • [17] Okada S.(2003)Vector measure orthonormal functions and best approximation for the 4-norm Arch. Math. 80 177-190
  • [18] Ricker W.J.(1993)L 1 of a vector measure Le Matematiche 48 219-234
  • [19] Okada S.(undefined)undefined undefined undefined undefined-undefined
  • [20] Ricker W.J.(undefined)undefined undefined undefined undefined-undefined