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Algebraic reflexivity of linear transformations |
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| Authors: | Jiankui Li Zhidong Pan |
| Affiliation: | Department of Mathematics, East China University of Science and Technology, Shanghai 200237, People's Republic of China ; Department of Mathematical Sciences, Saginaw Valley State University, University Center, Michigan 48710 |
| 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  . |
| Keywords: | Algebraic reflexivity separating vector |
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