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.
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页码：231 / 239
页数：9
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