Abstract
We give a description of primitive Jordan Banach algebras J for which there exists an associative primitive algebra A such that J is a Jordan subalgebra of the two-sided Martindale ring of fractions Qs(A) of A containing A as an ideal. Precisely, we prove that there exists a Banach space X and a one-to-one homomorphism ø from Qs(A) into the Banach algebra BL(X) of all bounded linear operator on X such that ø(A) acts irreducibly on X and the restriction of ø to J is continuous.
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© 1994 Springer Science+Business Media Dordrecht
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Garcia, M.C., Galindo, A.M., Palacios, A.R. (1994). On Primitive Jordan Banach Algebras. In: González, S. (eds) Non-Associative Algebra and Its Applications. Mathematics and Its Applications, vol 303. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0990-1_9
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DOI: https://doi.org/10.1007/978-94-011-0990-1_9
Publisher Name: Springer, Dordrecht
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