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math.MG2023
Local Blaschke--Kakutani ellipsoid characterization and Banach's isometric subspaces problem
Sergei Ivanov, Daniil Mamaev, Anya Nordskova
We prove the following local version of Blaschke--Kakutani's characterization of ellipsoids: Let be a finite-dimensional real vector space, a convex body with 0 in…
math.MG2022★ 5 cited
Banach's isometric subspace problem in dimension four
Sergei Ivanov, Daniil Mamaev, Anya Nordskova
We prove that if all intersections of a convex body with 3-dimensional linear subspaces are linearly equivalent then is a centered ellipsoid. This gives a…