Geodesic
The algebra generated by a pair of operator weighted shifts
Annales Polonici Mathematici, Tome 62 (1995) no. 2, pp. 97-110.

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We present a model for two doubly commuting operator weighted shifts. We also investigate general pairs of operator weighted shifts. The above model generalizes the model for two doubly commuting shifts. WOT-closed algebras for such pairs are described. We also deal with reflexivity for such pairs assuming invertibility of operator weights and a condition on the joint point spectrum.
DOI : 10.4064/ap-62-2-97-110
Keywords: pairs of operator weighted shifts, reflexive algebras

Marek Ptak 1

1 
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Marek Ptak. The algebra generated by a pair of operator weighted shifts. Annales Polonici Mathematici, Tome 62 (1995) no. 2, pp. 97-110. doi : 10.4064/ap-62-2-97-110. http://geodesic.mathdoc.fr/articles/10.4064/ap-62-2-97-110/

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