Convexity and smoothness in real interpolation for families of Banach spaces

被引：1
作者：
Nikolova, LY
Zachariades, T
机构：
[1] Univ Sofia, Dept Math, BU-1126 Sofia, Bulgaria
[2] Univ Athens, Dept Math, GR-15784 Athens, Greece
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 1999年 / 29卷 / 03期
关键词：
D O I：
10.1216/rmjm/1181071622
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show how the uniform convexity and uniform nonsquare properties of an interpolation operator can be preserved by the induced operator between the real interpolation spaces for infinite families. Also we show how uniform smoothness is inherited by real interpolation spaces for infinite families.
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页码：1085 / 1101
页数：17
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