Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local spectral properties of typical contractions on
  \(\ell_p,\)-$\,$spaces   We study some local spectral properties of contraction operators on $\ell_p$,
$1<p<\infty$ from a Baire category point of view, with respect to the
Strong$^*$ Operator Topology. In particular, we show that a typical contraction
on $\ell_p$ has Dunford's Property (C) but neither Bishop's Property $(\beta)$
nor the Decomposition Property $(\delta)$, and is completely indecomposable. We
also obtain some results regarding the asymptotic behavior of orbits of typical
contractions on $\ell_p$.

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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
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The categories of this paper are: plasm-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: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio
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The categories of this paper are: hep-th
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The categories of this paper are: nlin
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The categories of this paper are: mtrl-th