On the S-transform over a Banach algebra

Details On the S-transform over a Banach algebra On the S-transform over a Banach algebra

2005-01-06

arxiv.org/abs/math/0501083v2

Mathematics

Operator Algebras

16 pages. The revised version includes a new proof of additivity of the R-transform, as well as some minor corrections

Scientific paper

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.

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