Norm-attaining polynomials and differentiability

被引：8

作者：

Ferrera, J ^{[1
]}

机构：

[1] Univ Complutense Madrid, Dept Anal Matemat, E-28040 Madrid, Spain

来源：

STUDIA MATHEMATICA | 2002年 / 151卷 / 01期

关键词：

D O I：

10.4064/sm151-1-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a polynomial version of Shmul'yan's Test, characterizing the polynomials that strongly attain their norm as those at which the norm is Frechet differentiable: We also characterize the Gateaux differentiability of the norm. Finally we study those properties for some classical Banach spaces.

引用

页码：1 / 21

页数：21

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