Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Approximate and pseudo-amenability of various classes of Banach algebras   We continue the investigation of notions of approximate amenability that were
introduced in work of the second and third authors. It is shown that every
boundedly approximately contractible Banach algebra has a bounded approximate
identity.
  Among our other results, it is shown that the Fourier algebra of the free
group on two generators is not approximately amenable. Further examples are
obtained of ${\ell}^1$-semigroup algebras which are approximately amenable but
not amenable; using these, we show that bounded approximate amenability need
not imply sequential approximate amenability. Results are also given for Segal
subalgebras of $L^1(G)$, where $G$ is a locally compact group, and the algebras
$PF_p(\Gamma)$ of $p$-pseudofunctions on a discrete group $\Gamma$ (of which
the reduced $C^*$-algebra is a special case).

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The categories of this paper are: nucl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: q-bio
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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ph