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A note on the Banach-Mazur problem
Published online by Cambridge University Press: 01 January 2002
Extract
We prove that if X is a real Banach space, with dim X\ge 3, which contains 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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- Research Article
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- 2002 Glasgow Mathematical Journal Trust
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