Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dual fusion frames in the sense of Kutyniok, Paternostro and Philipp
  with applications to invertible Bessel fusion multipliers   To achieve our main research goal, first we survey the approaches towards
dual fusion frames existing in the literature and agree on the notion of
duality for fusion frames in the sense of Kutyniok, Paternostro and Philipp
({\it Oper. Matrices} {\bf11} (2017), no. 2, 301--336). As a main result we
show that different fusion frames have different dual fusion frames. Moreover,
this duality notion leads to a new definition of Bessel fusion multipliers
which is a slightly modified version of the commonly used definitions.
Particularly, we show that with this definition in many cases Bessel fusion
multipliers behave similar to ordinary Bessel multipliers. Finally, special
attention is devoted to the study of dual fusion frames induced by an
invertible Bessel fusion multiplier.

16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc