Smoothness of ψ-direct sums of Banach spaces

被引：0
|
作者：
Mitani, KI [1 ]
Oshiro, S
Saito, KS
机构：
[1] Niigata Univ, Grad Sch Sci & Technol, Dept Math Sci, Niigata 9502181, Japan
[2] Niigata Univ, Fac Sci, Dept Math, Niigata 9502181, Japan
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2005年 / 8卷 / 01期
关键词：
absolute normed space; smooth; uniformly smooth; norming functional;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let X-1,X-2,... X-n be Banach spaces and psi a continuous convex function with some appropriate conditions on a certain convex subset of R-n. Let (X-1 circle plus X-2 circle plus ... circle plus X-n)(psi) be the direct sum of X-1, X-2, ..., X-n equipped with the associated not m with psi. Then we Live the characterization of smoothness of (X-1 circle plus X-2 circle plus ... circle plus X-n)(psi).
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页码：147 / 157
页数：11
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