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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The Russo-Dye Theorem in Nest Algebras


Author: Kenneth R. Davidson
Journal: Proc. Amer. Math. Soc. 126 (1998), 3055-3059
MSC (1991): Primary 47D25
MathSciNet review: 1468188
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Abstract: It is shown that the convex hull of the unitary elements of a nest algebra contains the whole unit ball if and only if both $0_+$ and $I_-^\perp$ are either zero or infinite rank.


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Additional Information

Kenneth R. Davidson
Email: krdavidson@math.uwaterloo.ca

DOI: http://dx.doi.org/10.1090/S0002-9939-98-04538-9
PII: S 0002-9939(98)04538-9
Received by editor(s): March 17, 1997
Additional Notes: The author was partially supported by an NSERC grant and a Killam Research Fellowship.
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1998 American Mathematical Society