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Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

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
MathSciNet review: 2431041
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Abstract | References | Similar articles | Additional information

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$.

References:

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H. Bercovici, Operator Theory and Arithmetic in $ H^{\infty}$, American Mathematical Society, Providence, RI, 1988. MR 954383 (90e:47001)

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A. Biswas, A. Lambert, and S. Petrovic, On spectral radius algebras and normal operators, Indiana Univ. Math. J. 56 (2007), no. 4, 1661-1674. MR 2354695

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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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A. Biswas, S. Petrovic, On extended eigenvalues of operators, Integral Equations Operator Theory 55 (2006), no. 2, 233-248. MR 2234256 (2007f:47018)

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A. Lambert, S. Petrovic, Beyond hyperinvariance for compact operators. J. Funct. Anal. 219 (2005), no. 1, 93-108. MR 2108360 (2005i:47028)

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S. Petrovic, On the extended eigenvalues of some Volterra operators, Integral Equations and Operator Theory 57 (2007), no. 4, 593-598. MR 2313287

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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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