Jordan polynomials can be analytically recognized
Volume 117 / 1996
Studia Mathematica 117 (1996), 137-147
DOI: 10.4064/sm-117-2-137-147
Abstract
We prove that there exists a real or complex central simple associative algebra M with minimal one-sided ideals such that, for every non-Jordan associative polynomial p, a Jordan-algebra norm can be given on M in such a way that the action of p on M becomes discontinuous.