Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the non-embedding of $\ell_1$ in the James Tree Space   James Tree Space ($\mathcal{JT}$), introduced by R. James, is the first
Banach space constructed having non-separable conjugate and not containing
$\ell^1$. James actually proved that every infinite dimensional subspace of
$\mathcal{JT}$ contains a Hilbert space, which implies the $\ell^1$
non-embedding. In this expository article, we present a direct proof of the
$\ell^1$ non-embedding, using Rosenthal's $\ell^1$- Theorem and some measure
theoretic arguments, namely Riesz's Representation Theorem.

12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph