Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A characterization of Hilbert $C^*$-modules over finite dimensional
  $C^*$-algebras   We show that the unit ball of a full Hilbert $C^*$-module is sequentially
compact in a certain weak topology if and only if the underlying $C^*$-algebra
is finite dimensional. This provides an answer to the question posed in J.
Chmieli\'nski et al [Perturbation of the Wigner equation in inner product
$C^*$-modules, J. Math. Phys. 49 (2008), no. 3, 033519; arXiv:0801.2726].

23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin