Next: Allan Donsig - Algebraic Up: Operator Theory / Théorie Previous: Man-Duen Choi - Can
Kenneth R. Davidson - Nevanlinna-Pick interpolation for non-commutative analytic Toeplitz algebras
KENNETH R. DAVIDSON, Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada | |
Nevanlinna-Pick interpolation for non-commutative analytic Toeplitz algebras |
The non-commutative analytic Toeplitz algebra is the -closed algebra generated by the left regular representation of the free semigroup on n generators. We obtain a distance formula to an arbitrary -closed 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.
eo@camel.math.ca