Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Isometric dilations and von Neumann inequality for a class of tuples in
  the polydisc   The celebrated Sz.-Nagy and Foias and Ando theorems state that a single
contraction, or a pair of commuting contractions, acting on a Hilbert space
always possesses isometric dilation and subsequently satisfies the von Neumann
inequality for polynomials in $\mathbb{C}[z]$ or $\mathbb{C}[z_1, z_2]$,
respectively. However, in general, neither the existence of isometric dilation
nor the von Neumann inequality holds for $n$-tuples, $n \geq 3$, of commuting
contractions. The goal of this paper is to provide a taste of the isometric
dilations, the von Neumann inequality and a sharper version of von Neumann
inequality for a large class of $n$-tuples, $n \geq 3$, of commuting
contractions.

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The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: physics
4
The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
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The categories of this paper are: chem-ph
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
1
The categories of this paper are: cs