Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the divergence of series of p-th powers of operator norms   Let {A} be a system of operators. With any element x we associate the set of
elements {Ax}. We study conditions under which there exists an element x such
that the sum of p-th powers of norms of the elements {Ax} is equal to infinity.

0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas