Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universal commutative operator algebras and transfer function
  realizations of polynomials   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.

25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci