A Banach Algebra Approach To Amalgamated R- and S-transforms

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We give a Banach algebra approach to the additiveness property of Voiculescu's amalgamated R-transform. We also define an amalgamated S-transform and prove that it is multiplicative on products of amalgamated free random variables when the algebra of amalgamation is commutative.
22 pages

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Operator Algebras, 46L54

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http://salesiana.dossiersoluciones.com/handle/123456789/71494

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0406167
 http://arxiv.org/abs/math/0406167

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arXiv