On the S-transform over a Banach algebra

dc.creatorDykema, Kenneth J.
dc.date2005-01-06
dc.date2005-01-11
dc.date.accessioned2026-07-07T05:15:52Z
dc.date.available2026-07-07T05:15:52Z
dc.descriptionThe 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.
dc.description16 pages. The revised version includes a new proof of additivity of the R-transform, as well as some minor corrections
dc.identifierhttps://arxiv.org/abs/math/0501083
dc.identifierhttp://arxiv.org/abs/math/0501083
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73782
dc.subjectOperator Algebras
dc.subject46L54
dc.titleOn the S-transform over a Banach algebra
dc.typetext

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