On the S-transform over a Banach algebra Academic Article uri icon

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. 2005 Elsevier Inc. All rights reserved.

published proceedings

  • Journal of Functional Analysis

author list (cited authors)

  • Dykema, K. J.

citation count

  • 9

complete list of authors

  • Dykema, Kenneth J

publication date

  • February 2006