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Spectral radius algebras and shift
Author(s):
Srdjan
Petrovic
Journal:
Proc. Amer. Math. Soc.
138
(2010),
1639-1644.
MSC (2000):
Primary 47A65;
Secondary 47B15, 47B20
Posted:
December 16, 2009
MathSciNet review:
2587448
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Additional information
Abstract:
We consider spectral radius algebras associated to operators of the form  , where  and  is the unilateral shift. We show that, for a large class of  functions,  is weakly dense in  .
References:
-
- 1.
- 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 (2008i:47039)
- 2.
- A. Lambert, S. Petrovic, Beyond hyperinvariance for compact operators. J. Funct. Anal. 219 (2005), no. 1, 93-108. MR 2108360 (2005i:47028)
- 3.
- W. Rudin, Real and complex analysis. Third edition. McGraw-Hill Book Co., New York, 1987. MR 924157 (88k:00002)
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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/S0002-9939-09-10261-7
PII:
S 0002-9939(09)10261-7
Keywords:
Spectral radius algebras,
unilateral shift
Received by editor(s):
February 12, 2009
Posted:
December 16, 2009
Communicated by:
Marius Junge
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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