A note on Banach--Mazur problem

Details A note on Banach--Mazur problem A note on Banach--Mazur problem

2001-10-18

arxiv.org/abs/math/0110202v1

Mathematics

Functional Analysis

8 pages, 2 figures but one of the figures doesn't run well in TeX so it is not included here. The ps file of this paper which

Scientific paper

We prove that if $X$ is a real Banach space, with $\dim X\geq 3$, which
contains a subspace of codimension 1 which is 1-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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