A Banach Algebra Approach To Amalgamated R- and S-transforms
Lars Aagaard · arXiv (Cornell University) · 2004
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.