Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characterizations of centrality by local convexity of certain functions
  on $C^*$-algebras   We provide a function class which is useful to distinguish central and
non-central elements of a $C^*$-algebra in the following sense: for each
element $f$ of this function class, a self-adjoint element $a$ of a
$C^*$-algebra is central if and only if $f$ is locally convex at $a.$

29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn