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On some operator algebras generated by unilateral weighted shifts. (English) Zbl 1224.46097

The authors present a functional model of \(n\)-tuples of unilateral weighted shifts and making use of this model they give a necessary and sufficient condition in order that the operator algebra generated by such an \(n\)-tuple be isometrically isomorphic to the corresponding polydisc algebra.

MSC:

46H35 Topological algebras of operators
47A13 Several-variable operator theory (spectral, Fredholm, etc.)
47B37 Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
47L75 Other nonselfadjoint operator algebras
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