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

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A 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.
27 pages; key words and phrases: free difference quotient, derivation-comultiplication, generalized matricial resolvent, coalgebra duality, free

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Operator Algebras, Quantum Algebra, Primary 16W30, 46L54; Secondary 47C05, 30E99, 30G30

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http://salesiana.dossiersoluciones.com/handle/123456789/67760

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0306172
 http://arxiv.org/abs/math/0306172

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arXiv