Ergezen, Fuat; Sadik, Nazim On some operator algebras generated by unilateral weighted shifts. (English) Zbl 1224.46097 Publ. Math. Debr. 76, No. 1-2, 21-30 (2010). 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. Reviewer: Lajos Molnár (Debrecen) Cited in 2 Documents 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 Keywords:unilateral weighted shifts; operator algebras; functional Hilbert spaces; polydisc algebra PDFBibTeX XMLCite \textit{F. Ergezen} and \textit{N. Sadik}, Publ. Math. Debr. 76, No. 1--2, 21--30 (2010; Zbl 1224.46097)