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Algebras of operators and closed range

Author(s): Warren R. Wogen
Journal: Proc. Amer. Math. Soc. 133 (2005), 3281-3284.
MSC (2000): Primary 47A05; Secondary 47C05, 47L40
Posted: May 2, 2005
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Abstract: We consider operators $T$ such that every operator in the norm closed algebra generated by $T$ has closed range. Examples in a triangular AF algebra are constructed.

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Additional Information:

Warren R. Wogen
Affiliation: Department of Mathematics, University of North Carolina, Chapel Hill, North Carolina 27599-3250
Email: wrw@email.unc.edu

DOI: 10.1090/S0002-9939-05-08035-4
PII: S 0002-9939(05)08035-4
Received by editor(s): June 11, 2004
Posted: May 2, 2005
Communicated by: David R. Larson
Copyright of article: Copyright 2005, American Mathematical Society

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