Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extending positive definiteness   The main result of the paper gives criteria for extendibility of sesquilinear
form-valued mappings defined on symmetric subsets of *-semigroups to positive
definite ones. By specifying this we obtain new solutions of:
  * the truncated complex moment problem,
  * the truncated multidimensional trigonometric moment problem,
  * the truncated two-sided complex moment problem, as well as
characterizations of unbounded subnormality and criteria for the existence of
unitary power dilation.

3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph