Algebraic reflexivity of linear transformations
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- by Jiankui Li and Zhidong Pan PDF
- Proc. Amer. Math. Soc. 135 (2007), 1695-1699 Request permission
Abstract:
Let $\mathcal {L}(U, V)$ be the set of all linear transformations from $U$ to $V$, where $U$ and $V$ are vector spaces over a field $\mathbb {F}$. We show that every $n$-dimensional subspace of $\mathcal {L}(U, V)$ is algebraically $\lfloor \sqrt {2n} \rfloor$-reflexive, where $\lfloor \ t \ \rfloor$ denotes the largest integer not exceeding $t$, provided $n$ is less than the cardinality of $\mathbb {F}$.References
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Additional Information
- Jiankui Li
- Affiliation: Department of Mathematics, East China University of Science and Technology, Shanghai 200237, People’s Republic of China
- Email: jiankuili@yahoo.com
- Zhidong Pan
- Affiliation: Department of Mathematical Sciences, Saginaw Valley State University, University Center, Michigan 48710
- Email: pan@svsu.edu
- Received by editor(s): August 21, 2005
- Received by editor(s) in revised form: January 5, 2006
- Published electronically: November 29, 2006
- Additional Notes: This research was partially supported by the NSF of China.
- Communicated by: Joseph A. Ball
- © Copyright 2006 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 135 (2007), 1695-1699
- MSC (2000): Primary 47L05; Secondary 15A04
- DOI: https://doi.org/10.1090/S0002-9939-06-08632-1
- MathSciNet review: 2286078