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arXiv · 1009.6219

Universal commutative operator algebras and transfer function realizations of polynomials

Michael T. Jury
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Abstract

To each finite-dimensional operator space $E$ is associated a commutative operator algebra $UC(E)$, so that $E$ embeds completely isometrically in $UC(E)$ and any completely contractive map from $E$ to bounded operators on Hilbert space extends uniquely to a completely contractive homomorphism out of $UC(E)$. The unit ball of $UC(E)$ is characterized by a Nevanlinna factorization and transfer function realization. Examples related to multivariable von Neumann inequalities are discussed.

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Michael T. Jury. 2010-09-30. Universal commutative operator algebras and transfer function realizations of polynomials. https://arxiv.org/abs/1009.6219

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