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Zbl 1224.46097
Ergezen, Fuat; Sadik, Nazim
On some operator algebras generated by unilateral weighted shifts.
(English)
[J] Publ. Math. 76, No. 1-2, 21-30 (2010). ISSN 0033-3883

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.
[Lajos Molnár (Debrecen)]
MSC 2000:
*46H35 Topological algebras of operators
47A13 Several-variable spectral theory
47B37 Operators on sequence spaces, etc.
47L75 Other nonselfadjoint operator algebras

Keywords: unilateral weighted shifts; operator algebras; functional Hilbert spaces; polydisc algebra

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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