(1) Dept. of Mathematics and Computer Science, University of Prince Edward Island, C1A 4P3 Charlottetown, PE1, Canada;(2) Department of Mathematics, Faculty of General Education, Utsunomiya University, Utsunomiya, Japan
Abstract:
It has been proved by L. Sweet that the octahedron functional equation implies the cube functional equation in all dimensionsn1. In this note we give an elementary proof of this theorem.