Journal of Function Spaces and Applications (Jan 2013)
On the Aleksandrov-Rassias Problems on Linear n-Normed Spaces
Abstract
This paper generalizes T. M. Rassias' results in 1993 to n-normed spaces. If X and Y are two real n-normed spaces and Y is n-strictly convex, a surjective mapping f:X→Y preserving unit distance in both directions and preserving any integer distance is an n-isometry.
