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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Spectral radius algebras and shift


Author: Srdjan Petrovic
Journal: Proc. Amer. Math. Soc. 138 (2010), 1639-1644
MSC (2000): Primary 47A65; Secondary 47B15, 47B20
Published electronically: December 16, 2009
MathSciNet review: 2587448
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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}$.


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Additional Information

Srdjan Petrovic
Affiliation: Department of Mathematics, Western Michigan University, Kalamazoo, Michigan 49008
Email: srdjan.petrovic@wmich.edu.

DOI: http://dx.doi.org/10.1090/S0002-9939-09-10261-7
PII: S 0002-9939(09)10261-7
Keywords: Spectral radius algebras, unilateral shift
Received by editor(s): February 12, 2009
Published electronically: December 16, 2009
Communicated by: Marius Junge
Article copyright: © Copyright 2009 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.