Amalgamated R-transform Theory on Toeplitz-Probability Spaces over Toeplitz Matricial Algebras

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dc.creatorCho, Ilwoo
dc.date2004-05-06
dc.date.accessioned2026-07-07T05:07:58Z
dc.date.available2026-07-07T05:07:58Z
dc.descriptionIn this paper, we will consider a noncommutative probability space, $(T,E),$ over a Toeplitz matricial algebra $B=\QTR{cal}{C}^{N},$ for $N\in \QTR{Bbb}{N}$, induced by a (scalar-valued) noncommutative probability space, $(A,\QTR{cal}ϕ),$ with a suitable $B$-functional, $E:T\to B,$ defined by $ϕ.$ On this framework, we will observe amalgamated R-transform calculus with respect to a $B$-functional, $E.$ The technique and idea are came from those in [12] and Free Probability of type $B$ studied in [31].
dc.description46 pages
dc.identifierhttps://arxiv.org/abs/math/0405106
dc.identifierhttp://arxiv.org/abs/math/0405106
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71078
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.subject47-xx
dc.titleAmalgamated R-transform Theory on Toeplitz-Probability Spaces over Toeplitz Matricial Algebras
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