Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fusion frames for operators and atomic systems   Recently, fusion frames and frames for operators were considered as
generalizations of frames in Hilbert spaces. In this paper, we generalize some
of the known results in frame theory to fusion frames related to a linear
bounded operator K which we call K-fusion frames. We obtain new K-fusion frames
by considering K-fusion frames with a class of bounded linear operators. We
also study the stability of K-fusion frames under small perturbations. We
further give some characterizations of atomic systems with subspace sequences.

27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con