Algebraic reflexivity of linear transformations

作者:Li Jiankui*; Pan Zhidong
来源:Proceedings of the American Mathematical Society, 2007, 135(6): 1695-1699.
DOI:10.1090/S0002-9939-06-08632-1

摘要

Let L(U, V) be the set of all linear transformations from U to V, where U and V are vector spaces over a field F. We show that every n-dimensional subspace of L(U, V) is algebraically [root 2n]-reflexive, where [t] denotes the largest integer not exceeding t, provided n is less than the cardinality of F.