Dean Ives
A note on Lipschitz isomorphisms in Hilbert spaces

Comment.Math.Univ.Carolin. 51,3 (2010) 427-430.

Abstract:We show that the following well-known open problems on existence of Lipschitz isomorphisms between subsets of Hilbert spaces are equivalent: Are balls isomorphic to spheres? Is the whole space isomorphic to the half space?

Keywords: Lipschitz isomorphism, Hilbert space
AMS Subject Classification: 46B03