A theorem on reflexive large rank operator spaces
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Abstract:
If every nonzero operator in an $n$-dimensional operator space $\mathbb {S}$ has rank $\geqslant 2n$, then $\mathbb {S}$ is reflexive.References
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Additional Information
- Lifeng Ding
- Affiliation: Department of Mathematics and Statistics, Georgia State University, Atlanta, Georgia 30303-3083
- Email: matlfd@panther.gsu.edu
- Received by editor(s): May 2, 2001
- Received by editor(s) in revised form: November 8, 2004
- Published electronically: May 9, 2006
- Communicated by: David R. Larson
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 134 (2006), 2881-2884
- MSC (2000): Primary 47L05; Secondary 15A04
- DOI: https://doi.org/10.1090/S0002-9939-06-08046-4
- MathSciNet review: 2231611