On the reflexivity of pairs of contractions
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- by Marek Kosiek, Alfredo Octavio and Marek Ptak PDF
- Proc. Amer. Math. Soc. 123 (1995), 1229-1236 Request permission
Abstract:
We consider pairs of commuting contractions such that the joint left essential spectrum is dominating for the algebra ${H^\infty }({{\mathbf {D}}^2})$. It is also assumed, in the first case, that one of them is ${{\mathbf {C}}_{0 \cdot }}$ and the second one is absolutely continuous. In the second case, we assume that the pair is diagonally extendable. It will be shown that such pairs are reflexive.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 1229-1236
- MSC: Primary 47D27; Secondary 47A15, 47A20, 47A65
- DOI: https://doi.org/10.1090/S0002-9939-1995-1231037-9
- MathSciNet review: 1231037