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On a linearization trick
Published 11 Feb 2018 in math.OA, math.FA, and math.PR | (1802.03742v3)
Abstract: In several situations, mainly involving a self-adjoint set of unitary generators of a $C*$-algebra, we show that any matrix polynomial in the generators and the unit that is in the open unit ball can be written as a product of matrix polynomials of degree 1 also in the open unit ball.
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