On a linearization trick

Gilles Pisier

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arXiv · 1802.03742

On a linearization trick

Gilles Pisier

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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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Gilles Pisier. 2018-02-11. On a linearization trick. https://arxiv.org/abs/1802.03742

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