Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamics of perturbations of the identity operator by multiples of the
  backward shift on $l^{\infty}(\mathbb{N})$   Let $B$, $I$ be the unweighted backward shift and the identity operator
respectively on $l^{\infty}(\mathbb{N})$, the space of bounded sequences over
the complex numbers endowed with the supremum norm. We prove that $I+\lambda B$
is locally topologically transitive if and only if $|\lambda |>2$. This, shows
that a classical result of Salas, which says that backward shift perturbations
of the identity operator are always hypercyclic, or equivalently topologically
transitive, on $l^p(\mathbb{N})$, $1\leq p<+\infty$, fails to hold for the
notion of local topological transitivity on $l^{\infty}(\mathbb{N})$. We also
obtain further results which complement certain results from \cite{CosMa}.

30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: stat
32
The categories of this paper are: atom-ph