Complex convexity in Lebesgue-Bochner function spaces

被引：12

作者：

Dowling, PN ^{[1
]}

Hu, ZB ^{[1
]}

Mupasiri, D ^{[1
]}

机构：

[1] UNIV NO IOWA,DEPT MATH,CEDAR FALLS,IA 50614

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1996年 / 348卷 / 01期

关键词：

quasi-normed spaces; complex extreme points; complex strongly extreme points; analytic denting points;

D O I：

10.1090/S0002-9947-96-01508-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Complex geometric properties of continuously quasi-normed spaces are introduced and their relationship to their analogues in real Banach spaces is discussed. It is shown that these properties lift from a continuously quasi-normed space X to L(p)(mu, X), for 0 < p < infinity. Local versions of these properties and results are also considered.

引用

页码：127 / 139

页数：13

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