On the S-transform over a Banach algebra Academic Article

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.

authors

• Dykema, Kenneth

published proceedings

• JOURNAL OF FUNCTIONAL ANALYSIS

author list (cited authors)

• Dykema, K. J.

citation count

• 12

complete list of authors

• Dykema, KJ

publication date

• January 2006

publisher

• Elsevier  Publisher

published in

• Journal of Functional Analysis  Journal

keywords

• Free Convolution
• S-transform

Digital Object Identifier (DOI)

• 10.1016/j.jfa.2005.04.008

start page

• 90

end page

• 110

volume

• 231

issue

• 1

URL

• http%3A%2F%2Fdx.doi.org%2F10.1016%2Fj.jfa.2005.04.008