Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Perturbation and stability of operator frame for
  $End_{\mathcal{A}}^{\ast}(\mathcal{H})$   Frame theory is recently an active research area in mathematics, computer
science, and engineering with many exciting applications in a variety of
different fields. In this paper, we firstly give a characterization of operator
frame for $End_{\mathcal{A}}^{\ast}(\mathcal{H})$ and $K$-operator frames for
$End_{\mathcal{A}}^{\ast}(\mathcal{H})$. Lastly we consider the stability of
operator frame for $End_{\mathcal{A}}^{\ast}(\mathcal{H})$ and $K$-operator
frames for $End_{\mathcal{A}}^{\ast}(\mathcal{H})$ under perturbation and we
establish some results.

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The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys