Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Decomposable operators, local S-spectrum and S-spectrum in the
  quaternionic setting   In a right quaternionic Hilbert space, following the complex formalism,
decomposable operators, the so-called Bishop's property and the single valued
extension property are defined and the connections between them are studied to
certain extent. In particular, for a decomposable operator, it is shown that
the S-spectrum, approximate S-point spectrum, surjectivity S-spectrum and the
union of all local S-spectra coincide. Using continuous right slice-regular
functions we have also studied certain properties of local S-spectrum and local
S-spectral subspaces.

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The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: cond-mat
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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: cmp-lg