Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Algebraic reflexivity of linear transformations


Authors: Jiankui Li and Zhidong Pan
Journal: Proc. Amer. Math. Soc. 135 (2007), 1695-1699
MSC (2000): Primary 47L05; Secondary 15A04
Published electronically: November 29, 2006
MathSciNet review: 2286078
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 47L05, 15A04

Retrieve articles in all journals with MSC (2000): 47L05, 15A04


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

DOI: http://dx.doi.org/10.1090/S0002-9939-06-08632-1
PII: S 0002-9939(06)08632-1
Keywords: Algebraic reflexivity, separating vector
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
Article copyright: © Copyright 2006 American Mathematical Society