Strongly embedded subspaces of p-convex Banach function spaces

被引：6

作者：

Calabuig, J. M. ^{[1
]}

Rodriguez, J. ^{[2
]}

Sanchez-Perez, E. A. ^{[1
]}

机构：

[1] Univ Politecn Valencia, Inst Univ Matemat Pura & Aplicada, Valencia 46022, Spain

[2] Univ Murcia, Fac Informat, Dept Matemat Aplicada, Espinardo 30100, Murcia, Spain

来源：

POSITIVITY | 2013年 / 17卷 / 03期

关键词：

Strongly embedded subspace; p-Convex Banach function space; Strictly singular operator; Vector measure; STRICTLY SINGULAR INCLUSIONS; LATTICES;

D O I：

10.1007/s11117-012-0204-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let be a p-convex () order continuous Banach function space over a positive finite measure . We characterize the subspaces of which can be found simultaneously in and a suitable space, where is a positive finite measure related to the representation of as an space of a vector measure . We provide in this way new tools to analyze the strict singularity of the inclusion of in such an space. No rearrangement invariant type restrictions on are required.

引用

页码：775 / 791

页数：17

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