Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Each Random Variable in separable Banach Space belongs to the Domain of
  Definition of some inverse to compact linear non-random operator   We give in this short report a very simple proof that arbitrary random
variable with Borelian distribution in separable Banach space belongs with
probability one to a pre-image of some linear compact non-random operator.

32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex