Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Li-Yorke chaos translation set for linear operators   In order to study Li-Yorke chaos by the scalar perturbation for a given
bounded linear operator $T$ on Banach spaces $X$, we introduce the Li-Yorke
chaos translation set of $T$, which is defined by
$S_{LY}(T)=\{\lambda\in\mathbb{C};\lambda+T \text{ is Li-Yorke chaotic}\}$. In
this paper, some operator classes are considered, such as normal operator,
compact operator, shift and so on. In particular, we show that the Li-Yorke
chaos translation set of Kalisch operator on Hilbert space
$\mathcal{L}^2[0,2\pi]$ is a simple point set $\{0\}$.

0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con