Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Surjective homomorphisms from algebras of operators on long sequence
  spaces are automatically injective   We study automatic injectivity of surjective algebra homomorphisms from
$\mathscr{B}(X)$, the algebra of (bounded, linear) operators on $X$, to
$\mathscr{B}(Y)$, where $X$ is one of the following \emph{long} sequence
spaces: $c_0(\lambda)$, $\ell_{\infty}^c(\lambda)$, and $\ell_p(\lambda)$ ($1
\leqslant p < \infty$) and $Y$ is arbitrary. \textit{En route} to the proof
that these spaces do indeed enjoy such a property, we classify two-sided ideals
of the algebra of operators of any of the aforementioned Banach spaces that are
closed with respect to the `sequential strong operator topology'.

37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph