Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Drazin invertibility of linear operators on quaternionic Banach spaces   Let $A$ be a right linear operator on a two-sided quaternionic Banach space
$X$. The paper studies the Drazin inverse for right linear operators on a
quaternionic Banach space. It is shown that if $A$ is Drazin invertible then
the Drazin inverse of $A$ is given by $f(A)$ where $f$ is $0$ in an axially
symmetric neighborhood of $0$ and $f(q) = q^{-1}$ in an axially symmetric
neighborhood of the nonzero spherical spectrum of $A$. Some results analogous
to the ones concerning the Drazin inverse of operators on complex Banach spaces
are proved in the quaternionic context.

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The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
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The categories of this paper are: nlin
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The categories of this paper are: atom-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