The Russo-Dye theorem in nest algebras
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- by Kenneth R. Davidson PDF
- Proc. Amer. Math. Soc. 126 (1998), 3055-3059 Request permission
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.References
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Additional Information
- Kenneth R. Davidson
- MR Author ID: 55000
- ORCID: 0000-0002-5247-5548
- Email: krdavidson@math.uwaterloo.ca
- 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
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 3055-3059
- MSC (1991): Primary 47D25
- DOI: https://doi.org/10.1090/S0002-9939-98-04538-9
- MathSciNet review: 1468188