Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: B(l^p) is never amenable   We show that, if $E$ is a Banach space with a basis satisfying a certain
condition, then the Banach algebra $\ell^\infty({\cal K}(\ell^2 \oplus E))$ is
not amenable; in particular, this is true for $E = \ell^p$ with $p \in
(1,\infty)$. As a consequence, $\ell^\infty({\cal K}(E))$ is not amenable for
any infinite-dimensional ${\cal L}^p$-space. This, in turn, entails the
non-amenability of ${\cal B}(\ell^p(E))$ for any ${\cal L}^p$-space $E$, so
that, in particular, ${\cal B}(\ell^p)$ and ${\cal B}(L^p[0,1])$ are not
amenable.

32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin