A Banach Algebra Approach To Amalgamated R- and S-transforms
Operator Algebras
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0406167,
title = {A Banach Algebra Approach To Amalgamated R- and S-transforms},
author = {L. Aagaard},
journal= {arXiv preprint arXiv:math/0406167},
year = {2007}
}
Comments
22 pages