## 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

PDF