Products of orthoprojectors and Hermitian matrices
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A proof of the following result is presented: A matrix A ∈ M n (C) can be represented as a product A = PH, where P is an orthoprojector and H is a Hermitian matrix, if and only if A satisfies the equation A *2 A = A * A 2 (the Radjavi-Williams theorem). Unlike the original proof, the new one makes no use of the Crimmins theorem. Bibliography: 2 titles.
KeywordsHermitian Matrix Hermitian Matrice Original Proof
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