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Characterization of transformations preserving rank two tensors of a tensor product space Moore, Carolyn Fay

Abstract

Let U⊗V be a tensor product space over an algebraically closed field F ; let dim U = m and dim V = n ; let T be a linear transformation on U⊗V such that T preserves rank two tensors. We show that T preserves rank one tensors and this enables us to characterize T for all values of m and n.

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