Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Matrix KSGNS construction and a Radon--Nikodym type theorem   In this paper, we introduce the concept of completely positive matrix of
linear maps on Hilbert $A$-modules over locally $C^{*}$-algebras and prove an
analogue of Stinespring theorem for it. We show that any two minimal
Stinespring representations for such matrices are unitarily equivalent.
Finally, we prove an analogue of the Radon--Nikodym theorem for this type of
completely positive $n\times n$ matrices.

12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ