Nevanlinna–pick Interpolation for Non-commutative Analytic Toeplitz Algebras
نویسندگان
چکیده
The non-commutative analytic Toeplitz algebra is the wot–closed algebra generated by the left regular representation of the free semigroup on n generators. We obtain a distance formula to an arbitrary wotclosed right ideal and thereby show that the quotient is completely isometrically isomorphic to the compression of the algebra to the orthogonal complement of the range of the ideal. This is used to obtain Nevanlinna–Pick type interpolation theorems.
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