Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A hypercyclic rank one perturbation of a unitary operator   We prove that there exists a rank one perturbation of a unitary operator on a
complex separable infinite dimensional Hilbert space which is hypercyclic.

8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th