A note on Banach--Mazur problem
Beata Randrianantoanina
Abstract
We prove that if X is a real Banach space, with X≥ 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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