On the joint spectrum and $H^ \infty$-functional calculus for pairs of commuting contractions
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- by Alfredo Octavio PDF
- Proc. Amer. Math. Soc. 114 (1992), 497-503 Request permission
Abstract:
In this paper we show the existence of a pair of commuting completely nonunitary contractions $(S,T)$ on a Hilbert space, whose joint Taylor spectrum contains the torus, such that there is a bounded analytic function $h$ on the bidisk with $h(S,T) = 0$.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 114 (1992), 497-503
- MSC: Primary 47A13; Secondary 47A10, 47A60
- DOI: https://doi.org/10.1090/S0002-9939-1992-1069294-1
- MathSciNet review: 1069294