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.

引用

页码：159 / 165

页数：7

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