Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some properties of Controlled Fusion Frames   Controlled frames in Hilbert spaces have been introduced by Balazs, Antoine
and Grybos to improve the numerical output of in relation to algorithms for
inverting the frame operator. In this paper we have introduced and displayed
some new concepts and results on controlled fusion frames for Hilbert spaces.
It is shown that controlled fusion frames as a generalization of fusion frames
give a generalized way to obtain numerical advantage in the sense of
reconditioning to check the fusion frame condition. For this end, we introduce
the notion of Q-duality for Controlled fusion frames. Also, we survey the
robustness of Controlled fusion frames under some perturbations.

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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: chem-ph