On a linearization trick

  • Gilles Pisier

    Texas A&M University, College Station, USA


In several situations, mainly involving a self-adjoint set of unitary generators of a -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.

Cite this article

Gilles Pisier, On a linearization trick. Enseign. Math. 64 (2018), no. 3/4, pp. 315–326

DOI 10.4171/LEM/64-3/4-5