Spectral radius algebras and shift
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- by Srdjan Petrovic PDF
- Proc. Amer. Math. Soc. 138 (2010), 1639-1644 Request permission
Abstract:
We consider spectral radius algebras associated to operators of the form $h(S)$, where $h\in H^\infty$ and $S$ is the unilateral shift. We show that, for a large class of $H^\infty$ functions, $\mathcal {B}_{h(S)}$ is weakly dense in $\mathcal {LH}$.References
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Additional Information
- Srdjan Petrovic
- Affiliation: Department of Mathematics, Western Michigan University, Kalamazoo, Michigan 49008
- Email: srdjan.petrovic@wmich.edu.
- Received by editor(s): February 12, 2009
- Published electronically: December 16, 2009
- Communicated by: Marius Junge
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 1639-1644
- MSC (2000): Primary 47A65; Secondary 47B15, 47B20
- DOI: https://doi.org/10.1090/S0002-9939-09-10261-7
- MathSciNet review: 2587448