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Reflexive linear transformations
Authors:JA Deddens  PA Fillmore
Institution:University of Kansas Lawrence, Kansas, USA;Dalhousie University Halifax, Nova Scotia, Canada
Abstract:A linear operator A is called reflexive if the only operators that leave invariant the invariant subspaces of A are the operators in the weak closure of the algebra of polynomials in A. In this note we completely characterize reflexive operators on finite-dimensional spaces.
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