Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the spectrum of operator families on discrete groups over minimal
  dynamical systems   It is well known that, given an equivariant and continuous (in a suitable
sense) family of selfadjoint operators in a Hilbert space over a minimal
dynamical system, the spectrum of all operators from that family coincides. As
shown recently similar results also hold for suitable families of
non-selfadjoint operators in $\ell^p (\ZM)$. Here, we generalize this to a
large class of bounded linear operator families on Banach-space valued
$\ell^p$-spaces over countable discrete groups. We also provide equality of the
pseudospectra for operators in such a family. A main tool for our analysis are
techniques from limit operator theory.

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The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol