Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The invariant subspaces of $ S\oplus S^* $   Using the tools of Sz.-Nagy--Foias theory of contractions, we describe in
detail the invariant subspaces of the operator $ S\oplus S^* $, where $ S $ is
the unilateral shift on a Hilbert space. This answers a question of C\^amara
and Ross.

14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom