On the S-transform over a Banach algebra
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🧮 math.OA
keywords
banachalgebras-transformadditivityarbitraryb-valuedcomplexfree
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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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