Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Canonical decomposition of dissipative linear relations   On the basis of Sz. Nagy-Foia\c{s}-Langer and von Neumann-Wold
decompositions, two decompositions for dissipative linear relations are given
and they are realized by transforming invariant subspaces for contractions, by
means of the Z transform. These decompositions permit the separation of the
selfadjoint and completely nonselfadjoint parts of a dissipative relation.

10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas