2001/10/18 by Beata Randrianantoanina, Randrianantoanina, Beata
Mathematics · #46B04 #46B20 #46C15 #Advanced Banach Space Theory #Advanced Operator Algebra Research #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #math.FA #msc:46B04 #msc:46B20 #msc:46C15
paper · pdf · doi:10.48550/arxiv.math/0110202
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 includes all figures is available at http://www.users.muohio.edu/randrib/bm3.ps. to appear in Glasgow J. Math. (2002)
arxiv created 2001/10/18 · openalex publication_date 2001/10/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove that if X is a real Banach space, with dim 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.