Article ID Journal Published Year Pages File Type
4593073 Journal of Functional Analysis 2006 21 Pages PDF
Abstract

The S-transform is shown to satisfy a specific twisted multiplicativity property for free random variables in a B-valued Banach noncommutative probability space, for an arbitrary unital complex Banach algebra B. Also, a new proof of the additivity of the R-transform in this setting is given.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory