On a linearization trick
Operator Algebras
2023-04-05 v3 Functional Analysis
Probability
Abstract
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
@article{arxiv.1802.03742,
title = {On a linearization trick},
author = {Gilles Pisier},
journal= {arXiv preprint arXiv:1802.03742},
year = {2023}
}
Comments
v2 minor improvements mainly in the introduction