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.
@article{bwmeta1.element.bwnjournal-article-smv117i2p137bwm,
author = {M. Cabrera Garcia and A. Moreno Galindo and A. Rodr\'\i guez Palacios and E. Zel'manov},
title = {Jordan polynomials can be analytically recognized},
journal = {Studia Mathematica},
volume = {119},
year = {1996},
pages = {137-147},
zbl = {0852.17033},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv117i2p137bwm}
}
Cabrera Garcia, M.; Moreno Galindo, A.; Rodríguez Palacios, A.; Zel'manov, E. Jordan polynomials can be analytically recognized. Studia Mathematica, Tome 119 (1996) pp. 137-147. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv117i2p137bwm/
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