On the S-transform over a Banach algebra |
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| Authors: | Kenneth J. Dykema |
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| Affiliation: | Mathematisches Institut, Westfälische Wilhelms-Universität Münster, Einsteinstr. 62, 48149 Münster, Germany |
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| 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. |
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| Keywords: | Free convolution S-transform |
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