Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On c.n.c. commuting contractive tuples   The characteristic function has been an important tool for studying
completely non unitary contractions on Hilbert spaces. In this note, we
consider completely non-coisometric contractive tuples of commuting operators
on a Hilbert space $\clh$. We show that the characteristic function, which is
now an operator valued analytic function on the open Euclidean unit ball in
$\mathbb{C}^n$, is a complete unitary invariant for such a tuple. We prove that
the characteristic function satisfies a natural transformation law under
biholomorphic mappings of the unit ball. We also characterize all
operator-valued analytic functions which arise as characteristic functions of
pure commuting contractive tuples.

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The categories of this paper are: ao-sci
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The categories of this paper are: eess
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: cond-mat
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph