Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Triviality of the Peripheral Point Spectrum   If $T_t=\rme^{Zt}$ is a positive one-parameter contraction semigroup acting
on $l^p(X)$ where $X$ is a countable set and $1\leq p <\infty$, then the
peripheral point spectrum $P$ of $Z$ cannot contain any non-zero elements. The
same holds for Feller semigroups acting on $L^p(X)$ if $X$ is locally compact.

9
The categories of this paper are: nlin
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph