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

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be the set of all linear transformations from to , where and are vector spaces over a field . We show that every -dimensional subspace of is algebraically -reflexive, where denotes the largest integer not exceeding , provided is less than the cardinality of .

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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

DOI:
http://dx.doi.org/10.1090/S0002-9939-06-08632-1

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