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
  • [1] Bartle R.G.(1955)Weak compactness and vector measures Canad. J. Math. 7 289-305
  • [2] Dunford N.(1992)Operators into L 1 of a vector measure and applications to Banach lattices Math. Ann. 293 317-330
  • [3] Schwartz J.(1995)Banach space properties of L 1 of a vector measure Proc. Am. Math. Soc. 123 3797-3806
  • [4] Curbera G.P.(2002)Optimal domains for kernel operators via interpolation Math. Nachr. 244 47-63
  • [5] Curbera G.P.(1998)Weakly sequentially complete Fréchet spaces of integrable functions Arch. Math. 71 223-228
  • [6] Curbera G.P.(1997)Rybakov's theorem for vector measures in Fréchet spaces Indag. Math. N.S. 8 33-42
  • [7] Ricker W.J.(1970)Integration with respect to vector measures Pacific. J. Math. 33 157-165
  • [8] Fernández A.(1973)On integrability and summability in vector spaces Illinois. J. Math. 16 583-599
  • [9] Mayoral F.(1993)The dual space of L 1(μ) for a vector measure μ J. Math. Anal. Appl. 177 583-599
  • [10] Naranjo F.(1993)Nonweak compactness of the integration map for vector measures J. Austral. Math. Soc. Ser. A. 54 287-303
1234