Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Ces\`aro operator on smooth sequence spaces of finite type   The discrete Ces\`aro operator $\mathsf{C}$ is investigated in the class of
smooth sequence spaces $\lambda_0(A)$ of finite type. This class contains
properly the power series spaces of finite type. Of main interest is its
spectrum, which is distinctly different in the cases when $\lambda_0(A)$ is
nuclear and when it is not. The nuclearity of $\lambda_0(A)$ is characterized
via certain properties of the spectrum of $\mathsf{C}$. Moreover, $\mathsf{C}$
is always power bounded and uniformly mean ergodic on $\lambda_0(A)$.

33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
16
The categories of this paper are: stat