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Spectral radius algebras and $ C_0$ contractions

Author(s): Srdjan Petrovic
Journal: Proc. Amer. Math. Soc. 136 (2008), 4283-4288.
MSC (2000): Primary 47A15; Secondary 47A65, 47B15
Posted: July 30, 2008
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Abstract: We consider the spectral radius algebras associated to $ C_0$ contractions. If $ A$ is such an operator we show that the spectral radius algebra $ \mathcal{B}_A$ always properly contains the commutant of $ A$.

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A. Biswas, A. Lambert, S. Petrovic, and B. Weinstock, On spectral radius algebras, Operators and Matrices 2 (2008), no. 2, 167-176.

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Additional Information:

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

DOI: 10.1090/S0002-9939-08-09656-1
PII: S 0002-9939(08)09656-1
Received by editor(s): October 1, 2007
Posted: July 30, 2008
Communicated by: Marius Junge
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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