Proceedings of the American Mathematical Society

Author(s): Kenneth R. Davidson
Journal: Proc. Amer. Math. Soc. 134 (2006), 1753-1757.
MSC (2000): Primary 47L80
Posted: December 15, 2005
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Abstract: We provide a simplified version of a construction of Charles Read. For any $n \ge2$ , there are

isometries with orthogonal ranges with the property that the nonselfadjoint weak-

-closed algebra that they generate is all of $\mathcal{B}(\mathcal{H})$ .

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 47L80

Kenneth R. Davidson
Affiliation: Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, N2L 3G1 Canada
Email: krdavids@uwaterloo.ca

DOI: 10.1090/S0002-9939-05-08147-5
PII: S 0002-9939(05)08147-5
Received by editor(s): December 9, 2004
Received by editor(s) in revised form: January 20, 2005
Posted: December 15, 2005
Additional Notes: The author was partially supported by an NSERC grant
Communicated by: Joseph A. Ball
Copyright of article: Copyright 2005, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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