On compactness in spaces of Bochner integrable functions

被引：10

作者：

Diaz, S ^{[1
]}

Mayoral, F ^{[1
]}

机构：

[1] Univ Seville, Escuela Super Ingenieros, Dept Matemat Aplicada 2, Seville 41092, Spain

来源：

ACTA MATHEMATICA HUNGARICA | 1999年 / 83卷 / 03期

关键词：

D O I：

10.1023/A:1006721122987

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that a bounded subset K of L-P(mu, X) is relatively norm compact if and only if K is p-uniformly integrable, scalarly relatively compact, and either tight or flatly concentrated. The scalar relative compactness can be also replaced by several oscillation criteria.

引用

页码：231 / 239

页数：9

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