Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characterizations of Compact Operators on $\ell_{p}$ Type Fractional
  Sets of Sequences   Among the sets of sequences studied, difference sets of sequences are
probably the most common type of sets. This paper considers some $\ell_{p}$
type fractional difference sequence spaces via Euler gamma function. Although
we characterize compactness conditions on those spaces using the main tools of
Hausdorff measure of noncompactness, we can only obtain sufficient conditions
when the final space is $\ell _{\infty }$. However, we use some recent results
to exactly characterize the classes of compact matrix operators when the final
space is the set of bounded sequences.

15
The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
9
The categories of this paper are: nlin