On the self-length of two-dimensional Banach spaces

被引：4
|
作者：
Chalmers, B
Franchetti, C
Giaquinta, M
机构：
[1] UNIV CALIF RIVERSIDE,DEPT MATH,RIVERSIDE,CA 92521
[2] UNIV FLORENCE,DIPARTIMENTO MATEMAT APPLICATA,I-50139 FLORENCE,ITALY
来源：
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 1996年 / 53卷 / 01期
关键词：
D O I：
10.1017/S0004972700016762
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this paper is to prove the following result: if X is a 2-dimensional symmetric real Banach space, then its self-length is greater than or equal to 2 pi. Moreover, the minimum value 2 pi is uniquely attained (up to isometries) by euclidean space.
引用
收藏
页码：101 / 107
页数：7
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