On operator-commutative subalgebras of Jordan algebras
In this paper we define operator-commutativity of subalgebras
of Jordan algebras as a generalization of commutativity in special Jordan
algebras. It is shown that for any element of a Jordan algebra there exists
an inverse-closed operator-commutative subalgebra containing this element.
In the Banach Jordan algebra case we can even find a closed subalgebra with
the above properties.
G. Hessenberger <Gerald.Hessenberger@uibk.ac.at>