Optimal domains for L0-valued operators via stochastic measures

被引：9

作者：

Curbera, Guillermo P.

Delgado, Olvido

机构：

[1] Univ Seville, Fac Math, Seville 41080, Spain

[2] Univ Seville, Escuela Univ Politecn, Dept Math Aplicada 2, Seville 41011, Spain

来源：

POSITIVITY | 2007年 / 11卷 / 03期

关键词：

F-spaces; kernel operators; lattices; operators between function spaces; optimal domains; space of integrable functions; space of measurable functions; vector measures;

D O I：

10.1007/s11117-007-2071-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study extension of operators T: E -> L-0([0, 1]), where E is an F-function space and L-0([0, 1]) the space of measurable functions with the topology of convergence in measure, to domains larger than E, and we study the properties of such domains. The main tool is the integration of scalar functions with respect to stochastic measures and the corresponding spaces of integrable functions.

引用

页码：399 / 416

页数：18

共 26 条

[1] Optimal Domains for L0-valued Operators Via Stochastic Measures
Guillermo P. Curbera
Olvido Delgado
[J]. Positivity, 2007, 11 : 399 - 416
[2] Decomposable L0-valued measures as measurable bundles
Vladimir Chilin
Botir Zakirov
[J]. Positivity, 2010, 14 : 395 - 405
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Ricker, WJ
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[10] Decomposable L 0-valued measures as measurable bundles
Chilin, Vladimir
Zakirov, Botir
[J]. POSITIVITY, 2010, 14 (03) : 395 - 405

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