A note on the Banach-Mazur problem

被引：6
|
作者：
Randrianantoanina, B [1 ]
机构：
[1] Miami Univ, Dept Math & Stat, Oxford, OH 45056 USA
来源：
GLASGOW MATHEMATICAL JOURNAL | 2002年 / 44卷
关键词：
D O I：
10.1017/S001708950201011X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that if X is a real Banach space, with dim X greater than or equal to 3, which contains subspace of codimension I which is I-complemented in X and whose group of isometries is almost transitive then X is isometric to a Hilbert space. This partially answers the Banach-Mazur rotation problem and generalizes some recent related results.
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页码：159 / 165
页数：7
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