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

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

2003-06-10

arxiv.org/abs/math/0306172v1

Mathematics

Operator Algebras

27 pages; key words and phrases: free difference quotient, derivation-comultiplication, generalized matricial resolvent, coalg

Scientific paper

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.

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