Banach space properties of L(1) of a vector measure

被引：48

作者：

Curbera, GP

机构：

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1995年 / 123卷 / 12期

关键词：

D O I：

10.2307/2161909

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the space L(1)(nu) of real functions which are integrable with respect to a measure nu with values in a Banach space X. We study type and cotype for L(1)(nu). We study conditions on the measure nu and the Banach space X that imply that L(1)(nu) is a Hilbert space, or has the Dunford-Pettis property. We also consider weak convergence in L(1)(nu).

引用

页码：3797 / 3806

页数：10

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[2]

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[3]

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[4] WHEN L(1) OF A VECTOR MEASURE IS AN AL-SPACE [J].