Free Analysis Questions I: Duality Transform for the Coalgebra of $\partial_{X:B}$

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dc.creatorVoiculescu, Dan
dc.date2003-06-10
dc.date.accessioned2026-07-07T04:58:52Z
dc.date.available2026-07-07T04:58:52Z
dc.descriptionA duality transform for the coalgebra of the free difference quotient derivation-multiplication of an operator with respect to a free algebra of scalars is constructed. The dual object is realized in an algebra of matricial analytic functions endowed with yet another generalization of the difference quotient derivation.
dc.description27 pages; key words and phrases: free difference quotient, derivation-comultiplication, generalized matricial resolvent, coalgebra duality, free
dc.identifierhttps://arxiv.org/abs/math/0306172
dc.identifierhttp://arxiv.org/abs/math/0306172
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67760
dc.subjectOperator Algebras
dc.subjectQuantum Algebra
dc.subjectPrimary 16W30, 46L54; Secondary 47C05, 30E99, 30G30
dc.titleFree Analysis Questions I: Duality Transform for the Coalgebra of $\partial_{X:B}$
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