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 | References | Similar Articles | Additional Information

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 and are either zero or infinite rank.

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Additional Information

**Kenneth R. Davidson**

Email:
krdavidson@math.uwaterloo.ca

DOI:
https://doi.org/10.1090/S0002-9939-98-04538-9

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