pith. sign in

arxiv: math/0406167 · v1 · submitted 2004-06-09 · 🧮 math.OA

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

classification 🧮 math.OA
keywords amalgamatedalgebraapproachbanachadditivenessamalgamationcommutativedefine
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.