Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generating wandering subspaces for doubly commuting covariant
  representations   We obtain a Halmos-Richter-type wandering subspace theorem for covariant
representations of C*-correspondences. Further the notion of Cauchy dual and a
version of Shimorin's Wold-type decomposition for covariant representations of
C*-correspondences is explored and as an application a wandering subspace
theorem for doubly commuting covariant representations is derived. Using this
wandering subspace theorem generating wandering subspaces are characterized for
covariant representations of product systems in terms of the doubly
commutativity condition.

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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: math-ph
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The categories of this paper are: hep-th
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: nlin
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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg