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Showing papers by "Nanyang Technological University published in 1983"


Journal ArticleDOI
TL;DR: In this article, the tensor product of two finite dimensional vector spaces U and V over an infinite field was studied and the linear transformations T on U⊗V such that (TDk )⊆Dk were obtained.
Abstract: Let U⊗V denote the tensor product of two finite dimensional vector spaces U and V over an infinite field. Let k be a positive integer such that kdim U and k dim V Let Dk denote the set of all non-zero elements of U⊗V of rank less than k. In this paper we study linear transformations T on U⊗V such that (TDk )⊆Dk .

18 citations