Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a 'philosophical' question about Banach envelopes   We show how to construct nonlocally convex quasi-Banach spaces $X$ whose dual
separates the points of a dense subspace of $X$ but does not separate the
points of $X$. Our examples connect with a question raised by Pietsch [About
the Banach envelope of $l_{1,\infty}$, Rev. Mat. Complut. 22 (2009), 209-226]
and shed light into the unexplored class of quasi-Banach spaces with nontrivial
dual which do not have sufficiently many functionals to separate the points of
the space.

15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th