Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Boundaries and polyhedral Banach spaces   We show that if $X$ and $Y$ are Banach spaces, where $Y$ is separable and
polyhedral, and if $T:X \to Y$ is a bounded linear operator such that
$T^*(Y^*)$ contains a boundary $B$ of $X$, then $X$ is separable and isomorphic
to a polyhedral space. Some corollaries of this result are presented.

21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex