Geodesic
On the behaviour of Jordan-algebra norms on associative algebras
Studia Mathematica, Tome 113 (1995) no. 1, pp. 81-100 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We prove that for a suitable associative (real or complex) algebra which has many nice algebraic properties, such as being simple and having minimal idempotents, a norm can be given such that the mapping (a,b) ↦ ab + ba is jointly continuous while (a,b) ↦ ab is only separately continuous. We also prove that such a pathology cannot arise for associative simple algebras with a unit. Similar results are obtained for the so-called "norm extension problem", and the relationship between these results and the normed versions of Zel'manov's prime theorem for Jordan algebras are discussed. 
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Miguel Cabrera Garcia;  . On the behaviour of Jordan-algebra norms on associative algebras. Studia Mathematica, Tome 113 (1995) no. 1, pp. 81-100. doi: 10.4064/sm-113-1-81-100

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